HUGS Dualities and QCD. Josh Erlich LECTURE 5

Size: px
Start display at page:

Download "HUGS Dualities and QCD. Josh Erlich LECTURE 5"

Transcription

1 HUGS 2012 Dualities and QCD Josh Erlich LECTURE 5

2 Outline The meaning of duality in physics (Example: The Ising model) Quark-Hadron duality (experimental and theoretical evidence) Electric-Magnetic Duality (monopole condensation and confinement) The AdS/CFT correspondence (gauge/gravity duality, holographic QCD)

3 Building a Bottom-Up Model Step 1: Choose 5D gauge group and geometry. Tower of vector mesons are identified with tower of Kaluza-Klein gauge bosons. SU(2) isospin 5D SU(2) gauge theory Conformal in the UV Anti-de Sitter space near its boundary Can choose geometry by matching spectrum to Pade approx of SU(2) current-current correlator in deep Euclidean regime q 2 m 2 ρ. Result: geometry = slice of AdS space (Shifman; JE,Kribs,Low; Falkowski,Perez-Victoria).

4 Building a Bottom-Up Model To include the full chiral symmetry, not just the vector subgroup, SU(2) SU(2) chiral symmetry SU(2) SU(2) 5D gauge group Additional tower of gauge bosons tower of axial-vector mesons. (5D parity 4D parity) (Also describes pions after symmetry breaking)

5 Building a Bottom-Up Model Step 2: Include pattern of chiral symmetry breaking Hint from AdS/CFT: 4D operator 5D field q i q j Scalar fields X ij, bifundamental under SU(2) SU(2) Background profile for X ij : Non-normalizable mode source L 4D m ij q i q j Normalizable mode VEV q i q j (Klebanov,Witten; Balasubramanian et al.) The scalar field background explicitly and spontaneously breaks the chiral symmetry.

6 Building a Bottom-Up Model For definiteness, we need to choose 5D mass of scalar field. AdS/CFT: m 2 X = qq( qq 4) in units of AdS curvature. In the UV, qq = 3, so we choose m 2 X = 3. Note: This choice is made for definiteness, but is not necessary.

7 Building a Bottom-Up Model In summary, the model is: SU(2) SU(2) gauge theory in slice of AdS 5 with background bifundamental scalar field. S = d 5 x g 1 2g 2 5 Tr (L MN L MN + R MN R MN )+Tr( D M X 2 3 X 2 ) ds 2 = 1 z 2 dxµ dx µ dz 2, < z < z IR Model parameters: X 0 (x, z) = m q 2 z + qq 2 z3 g 5, m q, qq, z IR (JE,Katz,Son,Stephanov; DaRold,Pomarol)

8 Building a Bottom-Up Model Vector: V a µ = La µ + R a µ 2 Axial-Vector: A a µ = La µ R a µ Pions: Mixture of longitudinal part 2 of A a µ and scalar field X

9 Soft-Wall AdS/QCD In the Hard Wall model m 2 n n 2 To obtain a linear Regge trajectory, the geometry can be modified while coupling to a dilaton background. (Karch,Katz,Son,Stephanov 06) S = d 5 x ge Φ(x,z) L Φ 0 (z) z 2, g MN = AdS 5 Metric Low-energy predictions are similar to hard-wall model

10 Hard-Wall (5D tree level) With strange quark mass parameter Abdidin and Carlson 09

11 Hard/Soft-Wall (5D tree level) Pion Form Factor F! (Q 2 ) Q 2 (GeV 2 ) from Kwee and Lebed, arxiv: Solid black and blue curves: Hard wall model Dotted red and green curves: Soft wall model See also Grigoryan,Radyushkin 08

12 Hard/Soft-Wall (5D tree level) !b" + 0, hard 2! b" c 0, hard 2!b" + 0, soft 2!b" c 0, soft Gravitational Form Factors and Generalized Parton Distributions 2!b" 0 (fm -1 ) From Abidin and Carlson, arxiv: b(fm) 2!b" + 1, hard 2!b" c 1, hard 2!b" + 1, soft 2!b" c 1, soft Top: p + and charge densities of Helicity-0 rho mesons in hard and soft wall models 2!b" 1 (fm -1 ) Bottom: Same for Helicity-1 rho mesons b(fm) See also Lyubovitskij, Vega,...

13 Hard-Wall (5D tree level) Can determine meson radii from behavior of form factors near q 2 = 0. Hard wall model: r 2 π charge =0.33 fm 2 r 2 π grav =0.13 fm 2 r 2 ρ charge =0.53 fm 2 r 2 ρ grav =0.21 fm 2 r 2 a 1 charge =0.39 fm 2 r 2 a 1 grav =0.15 fm 2 H. Grigoryan and A. Radyushkin; Z. Abidin and C. Carlson 07, 08

14 Universality in AdS/QCD? Some observables are truly universal, i.e. independent of details of model. Famous Example: Viscosity to Entropy Density η/s Finite temperature spacetime horizon Prediction, independent of details of spacetime geometry: Kovtun, Son and Starinets 04 η s = 1 4π Another example: Electrical Conductivity to Charge Susceptibility σ/χ Kovtun and Ritz 08 σ χ = 1 4πT d d 2

15 Universality? Observables are roughly independent of X mass MeV m a 1 F F 1/2! 1/2 a g!"" # # From JE,Westenberger 09 m 2 X = ( 4). = 3 is the value set by matching to the UV.

16 Light-Front AdS/QCD Brodsky and De Teramond have discovered some remarkable similarities between wave equations in AdS and the light-front wave equation for multiparton states. Example: Two-parton state b Longitudinal momentum fraction x = k + /P + Define light-front kinematical variable ζ x(1 x)b 2 Wavefunction: ψ(x, ζ, ϕ) =e imϕ X(x) φ(ζ)/ 2πζ

17 Light-Front AdS/QCD Light-front wave equation P µ P µ ψ = M 2 ψ d2 dζ 2 1 4L2 4ζ 2 + U(ζ) φ(ζ) =M 2 φ(ζ) Confining interaction potential Scalar wave equation in soft-wall model: 2 z3 e ϕ(z) z e ϕ(z) z 3 z + µr z ψ(z) =M 2 ψ(z) Identifying these equations gives the AdS coordinate z a kinematical interpretation

18 Phases of QCD According to Wikipedia Baryon chemical potential

19 More of the QCD Phase Diagram T <u! 5 d>=0 A < " >=0 <u! 5 d>=0 m " µ I FIG. 1. Phase diagram of QCD at finite isospin density. Son,Stephanov 00 Positive fermion determinant allows for lattice study Alford,Kapustin,Wilczek; Kogut,Sinclair; de Forcrand, Stephanov,Wenger; Detmold et al.

20 Systems with Isospin Neutron Stars (Low temp, Large isospin) Quark-Gluon Plasma at RHIC,LHC (Higher temp, Smaller isospin)

21 QCD w/ Isospin Chemical Potential Small (Son&Stephanov, 2000) T =0: : Can use Chiral Lagrangian [ ] Chemical potential couples to isospin number density. µ I,T J (3) 0 = ψγ 0 τ 3 ψ L 4D = f π 2 4 Tr ( ν Σ ν Σ ) + m2 π f π 2 4 Σ =exp(2iπ a τ a /f π ) Tr ( Σ + Σ ) 0 Σ = 0 Σ µ I 2 (τ 3Σ Στ 3 ).

22 QCD w/ Isospin Chemical Potential Son-Stephanov ansatz: Σ =cosα + i(τ 1 cos φ + τ 2 sin φ)sinα Results: Σ = 0if µ I >m π Phase transition is second order c 2 s > 1/3 speed of sound

23 Isospin Chemical Potential in the S = Hard Wall Model d 5 x g Tr Scalar field background { DX 2 +3 X 2 1 4g 2 5 ( ) } F 2 L + FR 2 X 0 (z) = 1 2 ( mq z + σz 3) 1 2 v, Vector combination of gauge fields V a M =1/2(La M + Ra M ) Gauge choice Linearized equation of Motion Vector field background Source for J (3) 0 ( ) L a z = Rz a = 0 ( ) 1 z z zvµ a ( V 3 0 (z) =c 1 + c 2 2 z2 1 z α α Vµ a =0 c 1 = µ

24 Isospin Chemical Potential in the Hard Wall Model Can calculate all the properties of the isospin condensate phase discussed earlier; results agree with other approaches. (Albrecht,JE)

25 Other Observations Baryons are solitons in extra dimensions - like Skyrmions (Piljin Yi s talk;sakai,sugimoto; Nawa et al.; Pomarol, Wulzer) HoloQCD may address qualitative questions like chiral symmetry restoration (D.K.Hong et al.; Shifman,Vainshtein; Klempt) Can add higher dimension 5D operators or modify geometry to match power corrections in Operator Product Expansions (Hirn,Sanz)

26 Dualities Lecture 5 Summary QCD Towers of bound states identified by quantum numbers, mass Hidden local symmetry: Vector mesons act like massive gauge bosons (Sakurai; Bando et al.) Chiral symmetry breaking has implications at low energies Holographic QCD Towers of Kaluza-Klein modes identified by quantum numbers, mass Vector mesons modeled by Kaluza- Klein modes of gauge fields (Polchinski,Strassler;Son,Stephanov; Brodsky,De Teramond; etc.) Chiral symmetry breaking has implications at low energies Turkey Weinberg sum rules Tofu Weinberg sum rules

27 Dualities Lectures Final Summary Dualities are alternative descriptions of the same physical systems. Sometimes one description is easier to analyze than another (e.g. strong-weak dualities) Dualities also motivate new models of strongly interacting physics, as in holographic QCD.

Light-Front Holography and Gauge/Gravity Correspondence: Applications to the Meson and Baryon Spectrum

Light-Front Holography and Gauge/Gravity Correspondence: Applications to the Meson and Baryon Spectrum Light-Front Holography and Gauge/Gravity Correspondence: Applications to the Meson and Baryon Spectrum Guy F. de Téramond University of Costa Rica In Collaboration with Stan Brodsky Light-Cone 009: Relativistic

More information

The Pion Form Factor in AdS/QCD

The Pion Form Factor in AdS/QCD The Pion Form Factor in AdS/QCD 1 0.8 0.6 F π (Q 2 ) 0.4 Richard Lebed 0.2 0 0 1 2 3 4 5 Q 2 (GeV 2 ) CAQCD 08 May 22, 2008 In collaboration with Herry J. Kwee JHEP 0801, 027 (2008) [arxiv:0708.4054] arxiv:0712.1811

More information

N N Transitions from Holographic QCD

N N Transitions from Holographic QCD N N Transitions from Holographic QCD Guy F. de Téramond Universidad de Costa Rica Nucleon Resonance Structure Electroproduction at High Photon Virtualities with the Class 12 Detector Workshop Jefferson

More information

Light-Front Holography and Gauge/Gravity Correspondence: Applications to Hadronic Physics

Light-Front Holography and Gauge/Gravity Correspondence: Applications to Hadronic Physics Light-Front Holography and Gauge/Gravity Correspondence: Applications to Hadronic Physics Guy F. de Téramond University of Costa Rica In Collaboration with Stan Brodsky 4 th International Sakharov Conference

More information

Light-Front Holographic QCD: an Overview

Light-Front Holographic QCD: an Overview Light-Front Holographic QCD: an Overview Guy F. de Téramond Universidad de Costa Rica Continuous Advances is QCD University of Minnesota Minneapolis, May 14, 2011 CAQCD, Minneapolis, May 14, 2011 Page

More information

towards a holographic approach to the QCD phase diagram

towards a holographic approach to the QCD phase diagram towards a holographic approach to the QCD phase diagram Pietro Colangelo INFN - Sezione di Bari - Italy in collaboration with F. De Fazio, F. Giannuzzi, F. Jugeau and S. Nicotri Continuous Advances in

More information

Light-Front Quantization Approach to the Gauge/Gravity Correspondence and Strongly Coupled Dynamics

Light-Front Quantization Approach to the Gauge/Gravity Correspondence and Strongly Coupled Dynamics Light-Front Quantization Approach to the Gauge/Gravity Correspondence and Strongly Coupled Dynamics Guy F. de Téramond University of Costa Rica Instituto Tecnológico de Aeronáutica São José dos Campos,

More information

Light-Front Quantization Approach to the Gauge/Gravity Correspondence and Higher Fock States

Light-Front Quantization Approach to the Gauge/Gravity Correspondence and Higher Fock States Light-Front Quantization Approach to the Gauge/Gravity Correspondence and Higher Fock States Guy F. de Téramond University of Costa Rica Southampton High Energy Physics Theory Group University of Southampton

More information

QCD and a Holographic Model of Hadrons

QCD and a Holographic Model of Hadrons QCD and a Holographic Model of Hadrons M. Stephanov U. of Illinois at Chicago AdS/QCD p.1/18 Motivation and plan Large N c : planar diagrams dominate resonances are infinitely narrow Effective theory in

More information

Gauge/Gravity Duality: Applications to Condensed Matter Physics. Johanna Erdmenger. Julius-Maximilians-Universität Würzburg

Gauge/Gravity Duality: Applications to Condensed Matter Physics. Johanna Erdmenger. Julius-Maximilians-Universität Würzburg Gauge/Gravity Duality: Applications to Condensed Matter Physics. Johanna Erdmenger Julius-Maximilians-Universität Würzburg 1 New Gauge/Gravity Duality group at Würzburg University Permanent members 2 Gauge/Gravity

More information

Nucleons from 5D Skyrmions

Nucleons from 5D Skyrmions Nucleons from 5D Skyrmions Giuliano Panico Physikalisches Institut der Universität Bonn Planck 2009 26 May 2009 Based on G. P. and A. Wulzer 0811.2211 [hep-ph] and A. Pomarol and A. Wulzer 0807.0316 [hep-ph]

More information

Ruben Sandapen (Acadia & Mt. A) in collaboration with M. Ahmady & F. Chishtie. September 5 th 2016

Ruben Sandapen (Acadia & Mt. A) in collaboration with M. Ahmady & F. Chishtie. September 5 th 2016 Holographic Distribution Amplitudes for mesons Ruben Sandapen (Acadia & Mt. A) in collaboration with M. Ahmady & F. Chishtie Diffraction 2016 Progress in QCD session September 5 th 2016 1 Outline Overview

More information

Systematics of the Hadron Spectrum from Conformal Quantum Mechanics and Holographic QCD

Systematics of the Hadron Spectrum from Conformal Quantum Mechanics and Holographic QCD Systematics of the Hadron Spectrum from Conformal Quantum Mechanics and Holographic QCD Guy F. de Téramond Universidad de Costa Rica Twelfth Workshop on Non-Perturbative Quantum Chromodynamics Institut

More information

Modified Anti-de-Sitter Metric, Light-Front Quantized QCD, and Conformal Quantum Mechanics

Modified Anti-de-Sitter Metric, Light-Front Quantized QCD, and Conformal Quantum Mechanics GEOMETRY AND PHYSICS II Institut Henri Poincaré, Nov. 8 &9, 013 Modified Anti-de-Sitter Metric, Light-Front Quantized QCD, and Conformal Quantum Mechanics H.G.Dosch Institut für Theoretische Physik der

More information

Mapping String States into Partons:

Mapping String States into Partons: Mapping String States into Partons: Form Factors, and the Hadron Spectrum in AdS/QCD Guy F. de Téramond Universidad de Costa Rica In Collaboration with Stan Brodsky Continuous Advances in QCD Minneapolis,

More information

Meson Condensation and Holographic QCD

Meson Condensation and Holographic QCD Meson Condensation and Holographic QCD Kyle Zora April 13, 2012 Abstract Quantum Chromodynamics (QCD), which describes the strong nuclear force, is difficult to solve both analytically and numerically.

More information

x(1 x) b 2 dζ 2 m 2 1 x dζ 2 d dζ 2 + V (ζ) ] + k2 + m2 2 1 x k2 + m2 1 dζ 2 + m2 1 x + m2 2 LF Kinetic Energy in momentum space Holographic Variable

x(1 x) b 2 dζ 2 m 2 1 x dζ 2 d dζ 2 + V (ζ) ] + k2 + m2 2 1 x k2 + m2 1 dζ 2 + m2 1 x + m2 2 LF Kinetic Energy in momentum space Holographic Variable [ d dζ + V (ζ) ] φ(ζ) = M φ(ζ) m 1 de Teramond, sjb x ζ = x(1 x) b m b (1 x) Holographic Variable d dζ k x(1 x) LF Kinetic Energy in momentum space Assume LFWF is a dynamical function of the quark-antiquark

More information

Hadrons in a holographic approach to finite temperature (and density) QCD

Hadrons in a holographic approach to finite temperature (and density) QCD Hadrons in a holographic approach to finite temperature (and density) QCD Pietro Colangelo INFN - Sezione di Bari - Italy in collaboration with F. De Fazio, F. Giannuzzi, F. Jugeau, S. Nicotri EMMI Workshop:

More information

Meson-Nucleon Coupling. Nobuhito Maru

Meson-Nucleon Coupling. Nobuhito Maru Meson-Nucleon Coupling from AdS/QCD Nobuhito Maru (Chuo Univ.) with Motoi Tachibana (Saga Univ.) arxiv:94.3816 (Accepted in in EPJC) 7/9/9 workshop@yitp Plan 1: Introduction : Meson sector (review) 3:

More information

Gauge/Gravity Duality: An introduction. Johanna Erdmenger. Max Planck Institut für Physik, München

Gauge/Gravity Duality: An introduction. Johanna Erdmenger. Max Planck Institut für Physik, München .. Gauge/Gravity Duality: An introduction Johanna Erdmenger Max Planck Institut für Physik, München 1 Outline I. Foundations 1. String theory 2. Dualities between quantum field theories and gravity theories

More information

International Journal of Theoretical Physics, October 2015, Volume 54, Issue 10, pp ABSTRACT

International Journal of Theoretical Physics, October 2015, Volume 54, Issue 10, pp ABSTRACT 1 meson-nucleon coupling constant from the soft-wall AdS/QCD model Narmin Huseynova a,b1 and Shahin Mamedov a a Institute for Physical Problems, Baku State University, Z.Khalilov 3, Baku, AZ-1148, Azerbaijan

More information

Gauge/Gravity Duality and Strongly Coupled Light-Front Dynamics

Gauge/Gravity Duality and Strongly Coupled Light-Front Dynamics SLAC-PUB-1459 Gauge/Gravity Duality and Strongly Coupled Light-Front Dynamics Universidad de Costa Rica, San José, Costa Rica E-mail: gdt@asterix.crnet.cr Stanley J. Brodsky SLAC National Accelerator Laboratory

More information

Termodynamics and Transport in Improved Holographic QCD

Termodynamics and Transport in Improved Holographic QCD Termodynamics and Transport in Improved Holographic QCD p. 1 Termodynamics and Transport in Improved Holographic QCD Francesco Nitti APC, U. Paris VII Large N @ Swansea July 07 2009 Work with E. Kiritsis,

More information

Baryon Physics in Holographic QCD Models (and Beyond) in collaboration with A. Wulzer

Baryon Physics in Holographic QCD Models (and Beyond) in collaboration with A. Wulzer Baryon Physics in Holographic QCD Models (and Beyond) Alex Pomarol (Univ. Autonoma Barcelona) in collaboration with A. Wulzer One of the main goals of AdS/CFT: Find the string dual theory of QCD One of

More information

The Gauge/Gravity correspondence: linking General Relativity and Quantum Field theory

The Gauge/Gravity correspondence: linking General Relativity and Quantum Field theory The Gauge/Gravity correspondence: linking General Relativity and Quantum Field theory Alfonso V. Ramallo Univ. Santiago IFIC, Valencia, April 11, 2014 Main result: a duality relating QFT and gravity Quantum

More information

Glueballs at finite temperature from AdS/QCD

Glueballs at finite temperature from AdS/QCD Light-Cone 2009: Relativistic Hadronic and Particle Physics Instituto de Física Universidade Federal do Rio de Janeiro Glueballs at finite temperature from AdS/QCD Alex S. Miranda Work done in collaboration

More information

Nucleon Resonance Spectrum and Form Factors from Superconformal Quantum Mechanics in Holographic QCD

Nucleon Resonance Spectrum and Form Factors from Superconformal Quantum Mechanics in Holographic QCD Nucleon Resonance Spectrum and Form Factors from Superconformal Quantum Mechanics in Holographic QCD Guy F. de Téramond Universidad de Costa Rica Nucleon Resonances: From Photoproduction to High Photon

More information

Holographic QCD. M. Stephanov. U. of Illinois at Chicago. Holographic QCD p. 1/2

Holographic QCD. M. Stephanov. U. of Illinois at Chicago. Holographic QCD p. 1/2 Holographic QCD p. 1/2 Holographic QCD M. Stephanov U. of Illinois at Chicago Holographic QCD p. 2/2 Motivation and plan Large N c : planar diagrams dominate resonances are infinitely narrow Effective

More information

Holographic hydrodynamics of systems with broken rotational symmetry. Johanna Erdmenger. Max-Planck-Institut für Physik, München

Holographic hydrodynamics of systems with broken rotational symmetry. Johanna Erdmenger. Max-Planck-Institut für Physik, München Holographic hydrodynamics of systems with broken rotational symmetry Johanna Erdmenger Max-Planck-Institut für Physik, München Based on joint work with M. Ammon, V. Grass, M. Kaminski, P. Kerner, H.T.

More information

Light-Front Quantization Approach to the Gauge/Gravity Correspondence and Applications to the Light Hadron Spectrum

Light-Front Quantization Approach to the Gauge/Gravity Correspondence and Applications to the Light Hadron Spectrum Light-Front Quantization Approach to the Gauge/Gravity Correspondence and Applications to the Light Hadron Spectrum Guy F. de Téramond Universidad de Costa Rica Ferrara International School Niccolò Cabeo

More information

Linear Confinement from AdS/QCD. Andreas Karch, University of Washington work with Ami Katz, Dam Son, and Misha Stephanov.

Linear Confinement from AdS/QCD. Andreas Karch, University of Washington work with Ami Katz, Dam Son, and Misha Stephanov. Linear Confinement from AdS/QCD Andreas Karch, University of Washington work with Ami Katz, Dam Son, and Misha Stephanov. Excited Rho Mesons 6 (from PARTICLE DATA BOOK) Experiment 0.933 n 5 m 2 n, GeV

More information

Seminar presented at the Workshop on Strongly Coupled QCD: The Confinement Problem Rio de Janeiro UERJ November 2011

Seminar presented at the Workshop on Strongly Coupled QCD: The Confinement Problem Rio de Janeiro UERJ November 2011 and and Seminar presented at the Workshop on Strongly Coupled QCD: The Problem Rio de Janeiro UERJ 28-30 November 2011 Work done in collaboration with: N.R.F. Braga, H. L. Carrion, C. N. Ferreira, C. A.

More information

Quark-gluon plasma from AdS/CFT Correspondence

Quark-gluon plasma from AdS/CFT Correspondence Quark-gluon plasma from AdS/CFT Correspondence Yi-Ming Zhong Graduate Seminar Department of physics and Astronomy SUNY Stony Brook November 1st, 2010 Yi-Ming Zhong (SUNY Stony Brook) QGP from AdS/CFT Correspondence

More information

QCD and Instantons: 12 Years Later. Thomas Schaefer North Carolina State

QCD and Instantons: 12 Years Later. Thomas Schaefer North Carolina State QCD and Instantons: 12 Years Later Thomas Schaefer North Carolina State 1 ESQGP: A man ahead of his time 2 Instanton Liquid: Pre-History 1975 (Polyakov): The instanton solution r 2 2 E + B A a µ(x) = 2

More information

Holographic study of magnetically induced QCD effects:

Holographic study of magnetically induced QCD effects: Holographic study of magnetically induced QCD effects: split between deconfinement and chiral transition, and evidence for rho meson condensation. Nele Callebaut, David Dudal, Henri Verschelde Ghent University

More information

Scattering Vector Mesons in D4/D8 model

Scattering Vector Mesons in D4/D8 model Scattering Vector Mesons in D4/D8 model Marcus A. C. Torres C. A. Ballon Bayona H. Boschi-Filho N. Braga Instituto de Física Universidade Federal do Rio de Janeiro Light-Cone 2009: Relativistic Hadronic

More information

Conformal Symmetry, Confinement, and Light-Front Holographic QCD. Abstract

Conformal Symmetry, Confinement, and Light-Front Holographic QCD. Abstract SLAC-PUB-15377 Conformal Symmetry, Confinement, and Light-Front Holographic QCD Stanley J. Brodsky, 1 Guy F. de Téramond, 2 and Hans Günter Dosch 3 1 SLAC National Accelerator Laboratory, Stanford University,

More information

S = 0 (b) S = 0. AdS/QCD. Stan Brodsky, SLAC INT. March 28, Fig: Orbital and radial AdS modes in the soft wall model for κ = 0.6 GeV.

S = 0 (b) S = 0. AdS/QCD. Stan Brodsky, SLAC INT. March 28, Fig: Orbital and radial AdS modes in the soft wall model for κ = 0.6 GeV. 6 5 4 Φ(z) Φ(z) 2-5 2-27 8721A2 4 8 z 2-27 8721A21 4 8 z Fig: Orbital and radial AdS modes in the soft wall model for κ =.6 GeV. (a) S = (b) S = (GeV 2 ) 4 π 2 (167) π (18) 2 b 1 (1235) π (13) π (14) π

More information

The Big Picture. Thomas Schaefer. North Carolina State University

The Big Picture. Thomas Schaefer. North Carolina State University The Big Picture Thomas Schaefer North Carolina State University 1 Big Questions What is QCD? What is a Phase of QCD? What is a Plasma? What is a (perfect) Liquid? What is a wqgp/sqgp? 2 What is QCD (Quantum

More information

Non-Supersymmetric Seiberg duality Beyond the Planar Limit

Non-Supersymmetric Seiberg duality Beyond the Planar Limit Non-Supersymmetric Seiberg duality Beyond the Planar Limit Input from non-critical string theory, IAP Large N@Swansea, July 2009 A. Armoni, D.I., G. Moraitis and V. Niarchos, arxiv:0801.0762 Introduction

More information

String/gauge theory duality and QCD

String/gauge theory duality and QCD String/gauge theory duality and QCD M. Kruczenski Purdue University ASU 009 Summary Introduction String theory Gauge/string theory duality. AdS/CFT correspondence. Mesons in AdS/CFT Chiral symmetry breaking

More information

Hadronic phenomenology from gauge/string duality

Hadronic phenomenology from gauge/string duality Hadronic phenomenology from gauge/string duality Modern Trends in Field Theory, Joã o Pessoa 09/2006 Nelson R. F. Braga, IF, UFRJ String Theory Strong Interactions Experimental observation ( 1960) of an

More information

The E&M of Holographic QCD

The E&M of Holographic QCD The E&M of Holographic QCD Oren Bergman Technion and IAS O.B., G. Lifschytz, M. Lippert arxiv: 0802.3720, 080m.xxxx Also: Johnson, Kundu 0803.0038 Kim, Sin, Zahed 0803.0318 So you see, string theory provides

More information

QGP, Hydrodynamics and the AdS/CFT correspondence

QGP, Hydrodynamics and the AdS/CFT correspondence QGP, Hydrodynamics and the AdS/CFT correspondence Adrián Soto Stony Brook University October 25th 2010 Adrián Soto (Stony Brook University) QGP, Hydrodynamics and AdS/CFT October 25th 2010 1 / 18 Outline

More information

Themodynamics at strong coupling from Holographic QCD

Themodynamics at strong coupling from Holographic QCD Themodynamics at strong coupling from Holographic QCD p. 1 Themodynamics at strong coupling from Holographic QCD Francesco Nitti APC, U. Paris VII Excited QCD Les Houches, February 23 2011 Work with E.

More information

!onformali" Los# J.-W. Lee D. T. Son M. Stephanov D.B.K. arxiv: Phys.Rev.D80:125005,2009

!onformali Los# J.-W. Lee D. T. Son M. Stephanov D.B.K. arxiv: Phys.Rev.D80:125005,2009 !onformali" Los# J.-W. Lee D. T. Son M. Stephanov D.B.K arxiv:0905.4752 Phys.Rev.D80:125005,2009 Motivation: QCD at LARGE N c and N f Colors Flavors Motivation: QCD at LARGE N c and N f Colors Flavors

More information

Light-Front Quantization Approach to the Gauge-Gravity Correspondence and Hadron Spectroscopy

Light-Front Quantization Approach to the Gauge-Gravity Correspondence and Hadron Spectroscopy SLAC-PUB-3875 Light-Front Quantization Approach to the Gauge-Gravity Correspondence and Hadron Spectroscopy Guy F. de Téramond and Stanley J. Brodsky Universidad de Costa Rica, San José, Costa Rica SLAC

More information

Fractionized Skyrmions in Dense Compact-Star Matter

Fractionized Skyrmions in Dense Compact-Star Matter Fractionized Skyrmions in Dense Compact-Star Matter Yong-Liang Ma Jilin University Seminar @ USTC. Jan.07, 2016. Summary The hadronic matter described as a skyrmion matter embedded in an FCC crystal is

More information

Gian Gopal Particle Attributes Quantum Numbers 1

Gian Gopal Particle Attributes Quantum Numbers 1 Particle Attributes Quantum Numbers Intro Lecture Quantum numbers (Quantised Attributes subject to conservation laws and hence related to Symmetries) listed NOT explained. Now we cover Electric Charge

More information

Pomeron and Gauge/String Duality y

Pomeron and Gauge/String Duality y Pomeron and Gauge/String Duality y Sokendai, Japan--- March 9, 2006 Richard C. Brower Boston University R.C. Brower, Joe Polchiski, Matt Strassler and Chung-I Tan hep-th 0603xxx QCD Theory Space! N = 0

More information

1/N Expansions in String and Gauge Field Theories. Adi Armoni Swansea University

1/N Expansions in String and Gauge Field Theories. Adi Armoni Swansea University 1/N Expansions in String and Gauge Field Theories Adi Armoni Swansea University Oberwoelz, September 2010 1 Motivation It is extremely difficult to carry out reliable calculations in the strongly coupled

More information

Quark Mass from Tachyon

Quark Mass from Tachyon Quark Mass from Tachyon Shigenori Seki This talk is based on O. Bergman, S.S., J. Sonnenschein, JHEP 071 (007) 07; S.S., JHEP 1007 (010) 091. 1 September 010 Crete Conference on Gauge Theories and the

More information

Λ QCD and Light Quarks Contents Symmetries of the QCD Lagrangian Chiral Symmetry and Its Breaking Parity and Handedness Parity Doubling Explicit Chira

Λ QCD and Light Quarks Contents Symmetries of the QCD Lagrangian Chiral Symmetry and Its Breaking Parity and Handedness Parity Doubling Explicit Chira Lecture 5 QCD Symmetries & Their Breaking From Quarks to Hadrons Adnan Bashir, IFM, UMSNH, Mexico August 2013 Hermosillo Sonora Λ QCD and Light Quarks Contents Symmetries of the QCD Lagrangian Chiral Symmetry

More information

Supersymmetry across the light and heavy-light hadronic spectrum

Supersymmetry across the light and heavy-light hadronic spectrum Supersymmetry across the light and heavy-light hadronic spectrum Hans Günter Dosch Institut für Theoretische Physik der Universität Heidelberg Based on: G. F. de Teramond, H. G. D., S. J. Brodsky Rev.

More information

The Phases of QCD. Thomas Schaefer. North Carolina State University

The Phases of QCD. Thomas Schaefer. North Carolina State University The Phases of QCD Thomas Schaefer North Carolina State University 1 Motivation Different phases of QCD occur in the universe Neutron Stars, Big Bang Exploring the phase diagram is important to understanding

More information

Holographic Mean-Field Theory for Baryon Many-Body Systems

Holographic Mean-Field Theory for Baryon Many-Body Systems Holographic Mean-Field Theory for Baryon Many-Body Systems Masayasu Harada (Nagoya University) @ SCGT12 (December 7, 2012, Nagoya, Japan) based on MH, S. Nakamura and S. Takemoto, Phys. Rev. D 84, 036010

More information

The Phases of QCD. Thomas Schaefer. North Carolina State University

The Phases of QCD. Thomas Schaefer. North Carolina State University The Phases of QCD Thomas Schaefer North Carolina State University 1 Plan of the lectures 1. QCD and States of Matter 2. The High Temperature Phase: Theory 3. Exploring QCD at High Temperature: Experiment

More information

Flavor quark at high temperature from a holographic Model

Flavor quark at high temperature from a holographic Model Flavor quark at high temperature from a holographic Model Ghoroku (Fukuoka Institute of Technology) Sakaguchi (Kyushu University) Uekusa (Kyushu University) Yahiro (Kyushu University) Hep-th/0502088 (Phys.Rev.D71:106002,2005

More information

Hadron Structure in AdS/QCD

Hadron Structure in AdS/QCD p.1 Hadron Structure in AdS/QCD Valery Lyubovitskij Institut für Theoretische Physik, Universität Tübingen Kepler Center for Astro and Particle Physics, Germany Chiral Dynamics 212, 7 August 212, JLab,

More information

Heavy Quark Diffusion in AdS/CFT

Heavy Quark Diffusion in AdS/CFT Purdue University January 5th 2011 AdS/CFT is a correspondence that relates certain Quantum Field Theories and certain String Theories. Some characteristics of the correspondence. Large N c N = 4 SYM theory

More information

Glueballs and their decay in holographic QCD

Glueballs and their decay in holographic QCD Glueballs and their decay in holographic QCD Anton Rebhan Institute for Theoretical Physics TU Wien, Vienna, Austria March 2, 2015 A. Rebhan Holographic Glueball Decay March 2, 2015 1 / 17 Still elusive:

More information

Symmetries in Effective Field Theory

Symmetries in Effective Field Theory Symmetries in Effective Field Theory Sourendu Gupta Mini School 2016, IACS Kolkata, India Effective Field Theories 29 February 4 March, 2016 Outline Outline Symmetries in EFTs Softly broken symmetries

More information

Lectures on. Holographic QCD. Shigeki Sugimoto (Kavli IPMU) 1/53. holography 2013 APCTP, Pohang 2013/6/19 and 20

Lectures on. Holographic QCD. Shigeki Sugimoto (Kavli IPMU) 1/53. holography 2013 APCTP, Pohang 2013/6/19 and 20 Lectures on Holographic QCD Shigeki Sugimoto (Kavli IPMU) Lecture @ holography 2013 APCTP, Pohang 2013/6/19 and 20 1/53 1 Introduction Claim : Hadrons can be described by string theory without using quarks

More information

arxiv: v1 [hep-th] 19 Dec 2011

arxiv: v1 [hep-th] 19 Dec 2011 AdS/QCD, Light-Front Holography, and Sublimated Gluons arxiv:1112.4212v1 [hep-th] 19 Dec 211 SLAC National Accelerator Laboratory, Stanford University, Stanford, CA 9439, USA E-mail: sjbth@slac.stanford.edu

More information

arxiv: v3 [hep-ph] 20 Oct 2015

arxiv: v3 [hep-ph] 20 Oct 2015 SLAC-PUB-678 Connecting the Hadron Mass Scale to the Fundamental Mass Scale of Quantum Chromodynamics arxiv:49.5488v3 [hep-ph] 2 Oct 25 A. Deur, S. J. Brodsky, 2 G. F. de Teramond. 3 Thomas Jefferson National

More information

Gauge/String Duality and Quark Anti-Quark Potential

Gauge/String Duality and Quark Anti-Quark Potential Gauge/String Duality and Quark Anti-Quark Potential Nelson R. F. Braga, Universidade Federal do Rio de Janeiro Summary Historical facts relating String theory to Strong interactions AdS/CFT, gauge string

More information

Internal structure of the pion inspired by the AdS/QCD correspondence

Internal structure of the pion inspired by the AdS/QCD correspondence Internal structure of the pion inspired by the AdS/QCD correspondence Sabrina Cotogno Vrije Universiteit and Nikhef, Amsterdam Supervisor: Prof. P.J.G. Mulders In collaboration with Prof. Alessandro Bacchetta

More information

A Brief Introduction to AdS/CFT Correspondence

A Brief Introduction to AdS/CFT Correspondence Department of Physics Universidad de los Andes Bogota, Colombia 2011 Outline of the Talk Outline of the Talk Introduction Outline of the Talk Introduction Motivation Outline of the Talk Introduction Motivation

More information

arxiv:hep-ph/ v2 26 Jul 2006 Andreas Karch 1, Emanuel Katz 2, Dam T. Son 3, Mikhail A. Stephanov 4

arxiv:hep-ph/ v2 26 Jul 2006 Andreas Karch 1, Emanuel Katz 2, Dam T. Son 3, Mikhail A. Stephanov 4 BUHEP-06-0 INT-PUB 06-04 hep-ph/0609 Linear Confinement and AdS/QCD arxiv:hep-ph/0609v 6 Jul 006 Andreas Karch 1, Emanuel Katz, Dam T. Son 3, Mikhail A. Stephanov 4 1 Department of Physics, University

More information

String / gauge theory duality and ferromagnetic spin chains

String / gauge theory duality and ferromagnetic spin chains String / gauge theory duality and ferromagnetic spin chains M. Kruczenski Princeton Univ. In collaboration w/ Rob Myers, David Mateos, David Winters Arkady Tseytlin, Anton Ryzhov Summary Introduction mesons,,...

More information

H-dibaryon in Holographic QCD. Kohei Matsumoto (M2, YITP) (in collaboration with Hideo Suganuma, Yuya Nakagawa)

H-dibaryon in Holographic QCD. Kohei Matsumoto (M2, YITP) (in collaboration with Hideo Suganuma, Yuya Nakagawa) H-dibaryon in Holographic QCD Kohei Matsumoto (M2, YITP) (in collaboration with Hideo Suganuma, Yuya Nakagawa) 1. Aug. 2016 1 Contents 1. Introduction 2. Chiral Soliton Model 3. Holographic QCD 4. Results

More information

QCD and Light-Front Holography

QCD and Light-Front Holography QCD and Light-Front Holography SLAC-PUB-14258 September 2010 Stanley J. Brodsky SLAC National Accelerator Laboratory Stanford University, Stanford, CA 94309, USA, and CP 3 -Origins, Southern Denmark University,

More information

Duality and Holography

Duality and Holography Duality and Holography? Joseph Polchinski UC Davis, 5/16/11 Which of these interactions doesn t belong? a) Electromagnetism b) Weak nuclear c) Strong nuclear d) a) Electromagnetism b) Weak nuclear c) Strong

More information

Viscosity Correlators in Improved Holographic QCD

Viscosity Correlators in Improved Holographic QCD Bielefeld University October 18, 2012 based on K. Kajantie, M.K., M. Vepsäläinen, A. Vuorinen, arxiv:1104.5352[hep-ph]. K. Kajantie, M.K., A. Vuorinen, to be published. 1 Motivation 2 Improved Holographics

More information

Symmetries in Effective Field Theory

Symmetries in Effective Field Theory Symmetries in Effective Field Theory Sourendu Gupta SERC Main School 2014, BITS Pilani Goa, India Effective Field Theories December, 2014 Outline Outline Symmetries in EFTs Softly broken symmetries in

More information

Lattice QCD + Hydro/Cascade Model of Heavy Ion Collisions

Lattice QCD + Hydro/Cascade Model of Heavy Ion Collisions Lattice QCD + Hydro/Cascade Model of Heavy Ion Collisions Michael Cheng Lawrence Livermore National Laboratory 2010 Winter Workshop on Nuclear Dynamics Ocho Rios, Jamaica, January 2-9, 2010 Outline Calculation

More information

Putting String Theory to the Test with AdS/CFT

Putting String Theory to the Test with AdS/CFT Putting String Theory to the Test with AdS/CFT Leopoldo A. Pando Zayas University of Iowa Department Colloquium L = 1 4g 2 Ga µνg a µν + j G a µν = µ A a ν ν A a µ + if a bc Ab µa c ν, D µ = µ + it a

More information

Lectures on Chiral Perturbation Theory

Lectures on Chiral Perturbation Theory Lectures on Chiral Perturbation Theory I. Foundations II. Lattice Applications III. Baryons IV. Convergence Brian Tiburzi RIKEN BNL Research Center Chiral Perturbation Theory I. Foundations Low-energy

More information

Holographic study of magnetically induced ρ meson condensation

Holographic study of magnetically induced ρ meson condensation Holographic study of magnetically induced ρ meson condensation Nele Callebaut Ghent University November 13, 2012 QCD in strong magnetic fields, Trento Overview 1 Introduction 2 Holographic set-up The Sakai-Sugimoto

More information

Elementary/Composite Mixing in Randall-Sundrum Models

Elementary/Composite Mixing in Randall-Sundrum Models Elementary/Composite Mixing in Randall-Sundrum Models Brian Batell University of Minnesota with Tony Gherghetta - arxiv:0706.0890 - arxiv:0710.1838 Cornell 1/30/08 5D Warped Dimension = 4D Strong Dynamics

More information

Hydrodynamical Model and Shear Viscosity from Black Holes (η/s from AdS/CFT)

Hydrodynamical Model and Shear Viscosity from Black Holes (η/s from AdS/CFT) Hydrodynamical Model and Shear Viscosity from Black Holes (η/s from AdS/CFT) Klaus Reygers / Kai Schweda Physikalisches Institut University of Heidelberg Space-time evolution QGP life time 10 fm/c 3 10-23

More information

LQCD at non-zero temperature : strongly interacting matter at high temperatures and densities Péter Petreczky

LQCD at non-zero temperature : strongly interacting matter at high temperatures and densities Péter Petreczky LQCD at non-zero temperature : strongly interacting matter at high temperatures and densities Péter Petreczky QCD and hot and dense matter Lattice formulation of QCD Deconfinement transition in QCD : EoS

More information

Comments on finite temperature/density in holographic QCD

Comments on finite temperature/density in holographic QCD Comments on finite temperature/density in holographic QCD (Review + Unpublished analyses + Speculation) Shigeki Sugimoto (YITP) YKIS2018b Symposium Recent Developments in Quark-Hadron Sciences, 6/13/2018

More information

Skyrmions in Composite Higgs Models

Skyrmions in Composite Higgs Models Skyrmions in Composite Higgs Models Marc Gillioz Particle Physics & Cosmology December 4, 2012 based on arxiv:1012.5288, 1103.5990, 1111.2047 in collaboration with A. von Manteuffel, P. Schwaller and D.

More information

Aspects of Two- and Three-Flavor Chiral Phase Transitions

Aspects of Two- and Three-Flavor Chiral Phase Transitions Aspects of Two- and Three-Flavor Chiral Phase Transitions Mario Karl-Franzens-Universität Graz Institut für Physik Fachbereich Theoretische Physik Kyoto, September 6, 211 Table of Contents 1 Motivation

More information

QCD matter with isospin-asymmetry. Gergely Endrődi. Goethe University of Frankfurt in collaboration with Bastian Brandt, Sebastian Schmalzbauer

QCD matter with isospin-asymmetry. Gergely Endrődi. Goethe University of Frankfurt in collaboration with Bastian Brandt, Sebastian Schmalzbauer QCD matter with isospin-asymmetry Gergely Endrődi Goethe University of Frankfurt in collaboration with Bastian Brandt, Sebastian Schmalzbauer SIGN 2017 22. March 2017 Outline introduction: QCD with isospin

More information

10 Interlude: Preview of the AdS/CFT correspondence

10 Interlude: Preview of the AdS/CFT correspondence 10 Interlude: Preview of the AdS/CFT correspondence The rest of this course is, roughly speaking, on the AdS/CFT correspondence, also known as holography or gauge/gravity duality or various permutations

More information

An Introduction to the Standard Model of Particle Physics

An Introduction to the Standard Model of Particle Physics An Introduction to the Standard Model of Particle Physics W. N. COTTINGHAM and D. A. GREENWOOD Ж CAMBRIDGE UNIVERSITY PRESS Contents Preface. page xiii Notation xv 1 The particle physicist's view of Nature

More information

Lecture 9 Valence Quark Model of Hadrons

Lecture 9 Valence Quark Model of Hadrons Lecture 9 Valence Quark Model of Hadrons Isospin symmetry SU(3) flavour symmetry Meson & Baryon states Hadronic wavefunctions Masses and magnetic moments Heavy quark states 1 Isospin Symmetry Strong interactions

More information

Introduction to AdS/CFT

Introduction to AdS/CFT Introduction to AdS/CFT D-branes Type IIA string theory: Dp-branes p even (0,2,4,6,8) Type IIB string theory: Dp-branes p odd (1,3,5,7,9) 10D Type IIB two parallel D3-branes low-energy effective description:

More information

Thermo-electric transport in holographic systems with moment

Thermo-electric transport in holographic systems with moment Thermo-electric Perugia 2015 Based on: Thermo-electric gauge/ models with, arxiv:1406.4134, JHEP 1409 (2014) 160. Analytic DC thermo-electric conductivities in with gravitons, arxiv:1407.0306, Phys. Rev.

More information

Baby Skyrmions in AdS 3 and Extensions to (3 + 1) Dimensions

Baby Skyrmions in AdS 3 and Extensions to (3 + 1) Dimensions Baby Skyrmions in AdS 3 and Extensions to (3 + 1) Dimensions Durham University Work in collaboration with Matthew Elliot-Ripley June 26, 2015 Introduction to baby Skyrmions in flat space and AdS 3 Discuss

More information

Richard Williams C. S. Fischer, W. Heupel, H. Sanchis-Alepuz

Richard Williams C. S. Fischer, W. Heupel, H. Sanchis-Alepuz Richard Williams C. S. Fischer, W. Heupel, H. Sanchis-Alepuz Overview 2 1.Motivation and Introduction 4. 3PI DSE results 2. DSEs and BSEs 3. npi effective action 6. Outlook and conclusion 5. 3PI meson

More information

Towards new relativistic hydrodynamcis from AdS/CFT

Towards new relativistic hydrodynamcis from AdS/CFT Towards new relativistic hydrodynamcis from AdS/CFT Michael Lublinsky Stony Brook with Edward Shuryak QGP is Deconfined QGP is strongly coupled (sqgp) behaves almost like a perfect liquid (Navier-Stokes

More information

Light-Front Holography and Novel Effects in QCD

Light-Front Holography and Novel Effects in QCD SLAC-PUB-13491 December 28 Light-Front Holography and Novel Effects in QCD Stanley J. Brodsky and Guy F. de Téramond SLAC National Accelerator Laboratory, Stanford University, Stanford, CA 9439, USA Universidad

More information

Melting and freeze-out conditions of hadrons in a thermal medium. Juan M. Torres-Rincon

Melting and freeze-out conditions of hadrons in a thermal medium. Juan M. Torres-Rincon Melting and freeze-out conditions of hadrons in a thermal medium Juan M. Torres-Rincon Frankfurt Institute for Advanced Studies Frankfurt am Main, Germany in collaboration with J. Aichelin, H. Petersen,

More information

CHIRAL SYMMETRY OF EXCITED HADRONS FROM PHENOMENOLOGY, THEORY AND LATTICE

CHIRAL SYMMETRY OF EXCITED HADRONS FROM PHENOMENOLOGY, THEORY AND LATTICE CHIRAL SYMMETRY OF EXCITED HADRONS FROM PHENOMENOLOGY, THEORY AND LATTICE L. Ya. Glozman Institut für Physik, FB Theoretische Physik, Universität Graz L.Ya. Glozman Contents of the Talk Chiral symmetry

More information

STABILIZING EXTRA DIMENSIONS

STABILIZING EXTRA DIMENSIONS STABILIZING EXTRA DIMENSIONS Gero von Gersdorff (École Polytechnique) Warsaw, October 19th 2009 Collaboration with J.A.Cabrer and M.Quirós OUTLINE Features of Warped Extra Dimensions Stabilizing Models

More information

Rethinking Flavor Physics

Rethinking Flavor Physics Rethinking Flavor Physics René Sondenheimer FSU Jena & L. Egger, A. Maas arxiv:1701.02881 Cold Quantum Coffee, Heidelberg 30th of May 2017 LHC works remarkably well Higgs discovery completed SM 2 LHC works

More information

The Superfluid-Insulator transition

The Superfluid-Insulator transition The Superfluid-Insulator transition Boson Hubbard model M.P. A. Fisher, P.B. Weichmann, G. Grinstein, and D.S. Fisher, Phys. Rev. B 40, 546 (1989). Superfluid-insulator transition Ultracold 87 Rb atoms

More information