Lattice QCD and transport coefficients
|
|
- Phillip Miles
- 5 years ago
- Views:
Transcription
1 International Nuclear Physics Conference, Adelaide, Australia, 13 Sep Cluster of Excellence Institute for Nuclear Physics Helmholtz Institute Mainz
2 Plan Strongly interacting matter at temperatures T = MeV probed in heavy-ion collisions: hadrons quark-gluon plasma state of matter for the first microsecond after Big Bang Thermal physics: β = 1/(kT ), A = 1 Z Tr {e βh A}, Z = Tr {e βh } Overview of equilibrium properties from lattice QCD Near-equilibrium (real-time) properties formalism vector channel for light quarks: dilepton rate, diffusion coefficient heavy-quark momentum diffusion coefficient pion quasiparticle in the hadronic phase
3 QCD phase diagram T heavy ion collider QGP hadronic non CFL gas liq CFL nuclear superfluid neutron star µ at µ B = 0: T transition = 155 ± 8 MeV from lattice simulations (crossover) e.g. from chiral susceptibility d 4 x ψ(x)ψ(x) ψ(0)ψ(0) [see e.g. review Soltz et al ]. Fig. from Braun-Munzinger, Koch, Schäfer, Stachel, Phys.Rept. 621 (2016) 76
4 Thermodynamic potentials Fig. from review by Soltz et al at T = 260MeV, p 1/2p SB: far from weakly interacting quarks and gluons; hadron resonance gas (HRG) model works well up to T = 160 MeV; HRG also describes well the fluctuations of conserved charges, 1 e.g. V Q2, B 2 and S 2.
5 Regularization of QCD on a lattice ν Uµ P µν µ Gluons: U µ (x) = e iag 0A µ(x) SU(3) link variables Quarks: ψ(x) on site, Grassmann Gauge-invariance exactly preserved; no gauge-fixing required. Imaginary-time path-integral representation of QFT (Matsubara formalism): Formally: Lattice QCD = 4d statistical mechanics system Starting point for Monte-Carlo simulations using importance sampling
6 Near-equilibrium properties Typical questions: What quasiparticles are there in the system? How fast does an external perturbation dissipate in the system? for long wavelength perturbations, the rate is parametrized by transport coefficients (shear/bulk viscosity, diffusion coefficients,... ) t large J 0(t, k) θ( t)µ(k) e Dk2 t What is the production rate of photons or dileptons?
7 Formalism Relation between the correlator }{{} and the computed on the lattice G(x 0, p) d 3 x e ip x J(x) J(0) = 0 spectral function : }{{} what we want to know dω 2π cosh[ω(β/2 x0)] ρ(ω, p). sinh[ωβ/2] in the low-t phase, J em i can excite e.g. an ω-meson-like quasiparticle. for J = J em i electromagnetic current, ρ(ω, 0) ω 0 6χ sdω χ s = d 4 x J em 0 (x)j em 0 (0) = static susceptibility of electric charge D= diffusion coefficient photon rate: dγ d 3 k = e2 f Q2 f ρ(k,k) 2(2π) 3 k e βk 1 numerically ill-posed inverse problem for ρ(ω, p) ω>0 0; 0 x 0 < β.
8 The inverse problem has many faces: here is one of them Linearity: n c i( ω) G(t i) = i=1 0 dω 2π ρ(ω) n i=1 c i( ω) cosh[ω(β/2 ti)] sinh[ωβ/2] } {{ } δ( ω,ω) choose the coefficients c i( ω) so that the resolution function δ( ω, ω) is as narrowly peaked around a given frequency ω as possible (idea behind the Backus-Gilbert method, [used in Robaina et al. PRD 92 (2015) ]) T ˆδ( ω, ω) λ = 1, ω/t = 4 λ = 0.5, ω/t = 5 λ = 0.01, ω/t = 5 λ = 0.002, ω/t = 5 Resolution function at ω = 4T for N t = 24, t i/a = 5, Resolution only improves slowly with increasing n Large, sign-alternating coefficients need for ultra-precise input data ω/t
9 Expected thermal changes in spectral functions Isoscalar vector channel: spectral fct. of J i = 1 2 (ūγ iū + dγ id) tanh(ω / 2T) ρ ii (ω,t) / ω SND e + e - --> π + π π 0 wk coupl T=260MeV N=4 SYM λ=oo intercept = 3 χ s D / T 1 3 / (2 π) ω / GeV presence of weakly coupled quasiparticles transport peak at ω = 0; is it really there at T 260MeV? SND hep-ex/ D = diffusion coefficient; χ s = static susceptibility.
10 The isovector vector channel at p = 0 Lattice QCD correlators (T = 0.8, 1.0, 1.25, 1.67 T c) Spectral functions 1GeV fit ansatz method: simultaneous fit to all temperatures, because ρ(ω) ω (# + # αs +... )ω2 with T -independent coefficients; exact sum rule: 0 π dω ω [ρ(ω, T ) ρ(ω, T )] = 0 constraint; Francis et al. (N f = 2, m π T =0 = 267MeV, T c = 203MeV), PRD93 (2016)
11 Model-dependence of the spectral function Alternative ansatz at T = T c Spectral functions 1GeV fit ansatz method: simultaneous fit to all temperatures, because ρ(ω) ω (# + # αs +... )ω2 with T -independent coefficients; exact sum rule: 0 π dω ω [ρ(ω, T ) ρ(ω, T )] = 0 constraint; Francis et al. (N f = 2, m π T =0 = 267MeV, T c = 203MeV), PRD93 (2016)
12 Lattice QCD vs. phenomenology ρ(ω, T ): lattice vs. pheno Phenomenological model. compare ρ(ω,t ) tanh(ωβ/2) 0 dω δ(ω, ω ) ρ(ω,t ) tanh(ω : lattice result is model-independent. β/2) shift of spectral weight from the ρ to low frequency region as T increases. Francis et al. PRD93 (2016) ; Rapp & Hohler, PLB731, 103 (2014).
13 Calculations of the diffusion coefficient inverse problem treated with the Maximum Entropy Method; D ρ(ω)/(χ sω) ω=0 comes out very small; stability of the results tested under variations in the procedure. N f = simulations, m π T =0 = 384MeV, Aarts et al. JHEP 1502 (2015) 186. See also N f = 0 continuum calculation using fit ansätze Ding, Kaczmarek, F. Meyer PRD94 (2016)
14 Selected recent results for the light-quark diffusion coefficient D N f =2+1, N f =2, N f =0, AMY hep-ph/ α s =0.3 D T N f =0, heavy-quark AdS/CFT T/T c lattice calculations yield very low values, D 1/(πT ); however, all results assume that no narrow transport peak is present: these methods would fail at very high temperatures. Except green point!
15 T > T c : Heavy-quark momentum diffusion coefficient κ Re Tr ( U(β, τ)ge k (τ, 0)U(t, 0)gE k (0, 0) ) dω cosh[ω(β/2 τ)] G(τ) = = ρ(ω) 3 Re Tr U(β, 0) 0 2π sinh[ωβ/2] color parallel transporters U(t 2, t 1) are propagators of static quarks (Lorentz) force-force correlator on the worldline of the quark. T κ = lim ω 0 ω ρ(ω), D = 2T 2 /κ. NNLO calculation available: ρ(ω) = smooth function ω g 2 ω 3. Result: 2πT D = Francis, Kaczmarek, Laine, Neuhaus PRD92 (2015)
16 Spectral function on the light-cone photon rate dγγ d 3 k D eff (k) = ρ V (k,k) k > 0 2χ qk lim ω 0 + ρii (ω,0) k = 0 ; dγ γ 3χ qω d 3 k = 2αemχq 3π 2 D eff (k) e βk 1. at k = 0, a narrow transport peak cannot be excluded large uncertainty on result for D. for k 2T, a more reliable result for D eff (k) is possible: spectral function expected to be smooth; fit ansatz: polynom up to ω = k 2 + π 2 T 2, perturbation theory beyond. N f = 0, analysis in the continuum; Ghiglieri, Kaczmarek, Laine, F. Meyer PRD 94, (2016)
17 The pion quasiparticle in the low-temperature phase
18 Chiral symmetry is spontaneously broken for T < T c: ψψ > 0. Goldstone theorem a divergent spatial correlation length m 1 π the limit m u,d 0. also: a massless real-time excitation exists: the pion quasiparticle. dispersion relation: [Son and Stephanov, PRD 66, (2002)] ω p = u(t ) m 2 π(t ) + p exists in T 100MeV: Two-loop chiral perturbation theory prediction for the pion quasiparticle mass u(t )m π(t ) [D. Toublan, PRD (1997)] Quasiparticle mass full: physical quark mass dashed: massless case.
19 key point: pion dominates parametrically the Euclidean two-point function of the axial charge density ( d 3 x e ip x τ ψγ0γ a 5 ψ) and its second 2 derivative at x 0 = β/2 0.6fm and p 300MeV inverse problem can be solved via the ansatz ρ A(ω, p, T ) = f 2 π(t ) (m 2 π(t ) + p 2 ) δ(ω 2 u 2 (T )(m 2 π(t ) + p 2 )) here m π(t ) and f π(t ) are determined from screening (=static) correlation functions; from time-dependent correlator: u = 0.75(2) and T = 0 : pion mass = 267(2) MeV T = 169MeV : quasiparticle mass = 223(4)MeV screening mass = 303(4)MeV. Simulation details: N f = 2 (no strange quark); lattice; Transition temperature T c 203MeV. How does this fit in with the success of the hadron-resonance gas model? Robaina et al. PRD 90 (2014) ; PRD 92 (2015)
20 Conclusion Significant progress in lattice QCD on near-equilibrium quantities: few-permille precision on correlation functions at small lattice spacings, even continuum in quenched approximation advanced weak-coupling calculations, effective field theories, exact sum rules,... provide crucial prior information on spectral function. many channels not discussed here: fate of quarkonium in the quark-gluon plasma, open-charm spectral functions, shear/sound channels,...
21 Backup slides
22 Thermal fluctuations and correlations Fig. from S. Borsanyi et al Light-quark number susceptibility: suggests that deconfinement occurs practically at the same temperature as chiral restoration. Successful predictions of the HRG.
23 Pion channel, continued: description of the lattice data GA(x0, T, p1) GA(x0, T, p2) GA(x0, T, p3) GA(x0, T, p4) GA(x0, T, p 5 ) ρ(ω,p) x0/a ω 1 3 d 3 x e ip x A a 0(x)A a 0(0) = 0 dω cosh[ω(β/2 x0)] 2π ρa (ω, p). sinh[ωβ/2] Ansatz : ρ A (ω, p) = a 1(p)δ(ω ω p) + a 2(p)(1 e ωβ )θ(ω c).
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 informationDeconfinement and Polyakov loop in 2+1 flavor QCD
Deconfinement and Polyakov loop in 2+ flavor QCD J. H. Weber in collaboration with A. Bazavov 2, N. Brambilla, H.T. Ding 3, P. Petreczky 4, A. Vairo and H.P. Schadler 5 Physik Department, Technische Universität
More informationThe 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 informationCritical lines and points. in the. QCD phase diagram
Critical lines and points in the QCD phase diagram Understanding the phase diagram Phase diagram for m s > m u,d quark-gluon plasma deconfinement quark matter : superfluid B spontaneously broken nuclear
More informationThe 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 informationHeavy Mesonic Spectral Functions at Finite Temperature and Finite Momentum
Heavy Mesonic Spectral Functions at Finite Temperature and Finite Momentum Masayuki Asakawa Department of Physics, Osaka University September 2011 @ EMMI Workshop QCD Phase Diagram T LHC RHIC QGP (quark-gluon
More informationSUNY Stony Brook August 16, Wolfram Weise. with. Thomas Hell Simon Rössner Claudia Ratti
SUNY Stony Brook August 16, 27 PHASES of QCD POLYAKOV LOOP and QUASIPARTICLES Wolfram Weise with Thomas Hell Simon Rössner Claudia Ratti C. Ratti, M. Thaler, W. Weise: Phys. Rev. D 73 (26) 1419 C. Ratti,
More informationarxiv: v1 [hep-lat] 26 Dec 2009
arxiv:091.5037v1 [hep-lat] 6 Dec 009 On Equation of State at physical quark masses Physics Department, Brookhaven National Laboratory, Upton NY 11973 E-mail: petreczk@bnl.gov QCD equation of state is calculated
More informationThe QCD Equation of State at μ B > 0 from Lattice QCD
The QCD Equation of State at μ B > 0 from Lattice QCD Hiroshi Ohno (BNL-Bielefeld-CCNU Collaboration) CCS, University of Tsukuba Brookhaven National Laboratory arxiv:1701.04325 [hep-lat] 7 th Workshop
More informationQCD thermodynamics with two-flavours of Wilson fermions on large lattices
QCD thermodynamics with two-flavours of Wilson fermions on large lattices Bastian Brandt Institute for nuclear physics In collaboration with A. Francis, H.B. Meyer, O. Philipsen (Frankfurt) and H. Wittig
More informationThe interplay of flavour- and Polyakov-loop- degrees of freedom
The interplay of flavour- and Polyakov-loopdegrees of freedom A PNJL model analysis Simon Rößner, Nino Bratović, Thomas Hell and Wolfram Weise Physik Department Technische Universität München Thursday,
More informationQCD Thermodynamics Péter Petreczky
QCD Thermodynamics Péter Petreczky What is deconfinement in QCD? What is the nature of the deconfined matter? Tools: screening of color charges, EoS, fluctuation of conserved quantum numbers QGP: state
More informationThermodynamics. Quark-Gluon Plasma
Thermodynamics of the Quark-Gluon Plasma Claudia Ratti Torino University and INFN, Italy Claudia Ratti 1 Quick review of thermodynamics In lectures I and II we saw... QCD and its symmetries Polyakov loop
More informationDeconfinement at high temperatures and moderately high baryon densities Péter Petreczky
Deconfinement at high temperatures and moderately high baryon densities Péter Petreczky What is the limiting temperature on hadronic matter? What is the nature of the deconfined matter? In this talk: Chiral
More informationHolographic 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 informationQuark Gluon Plasma. Rajiv V. Gavai T. I. F. R., Mumbai. Workshop on LHC Physics 2006, T. I. F. R., Mumbai, September 7, 2006 R. V.
Quark Gluon Plasma Rajiv V. Gavai T. I. F. R., Mumbai Workshop on LHC Physics 2006, T. I. F. R., Mumbai, September 7, 2006 R. V. Gavai Top 1 Quark Gluon Plasma Rajiv V. Gavai T. I. F. R., Mumbai Introduction
More informationSpectral functions in QCD
Spectral functions in QCD Gert Aarts ECT*, May 2016 p. 1 Strongly interacting matter: transport and response aim of the meeting common questions for diverse systems cold atomic gases hadronic and quark-gluon
More informationTransport Coefficients of Hadron Matter at Finite Temperature
Transport Coefficients of Hadron Matter at Finite Temperature Andres Ortiz University of Texas at El Paso Department of Physics Dr. Ralf Rapp Texas A&M University Cyclotron Institute Objectives To obtain
More informationThermal dilepton production from hot QCD
Institute for Theoretical Physics, AEC, University of Bern, Sidlerstrasse 5, 301 Bern, Switzerland E-mail: laine@itp.unibe.ch NLO and LPM-resummed computations of thermal dilepton production from a hot
More informationThe Flavors of the Quark-Gluon Plasma
The Flavors of the Quark-Gluon Plasma Berndt Mueller SQM 2008 - October 6-10, 2008 The QGP is a strange state of matter 2 QCD phase diagram T Quark- Gluon Critical end point? Plasma Strange quarks play
More informationBottomonium and transport in the QGP
Bottomonium and transport in the QGP Gert Aarts (FASTSUM collaboration) Kyoto, December 201 p. 1 Introduction QCD thermodynamics euclidean formulation lattice QCD pressure, entropy, fluctuations,... this
More informationThermal dileptons as fireball probes at SIS energies
Thermal dileptons as fireball probes at SIS energies Critical Point and Onset of Deconfinement 2016, Wrocław. Florian Seck TU Darmstadt in collaboration with T. Galatyuk, P. M. Hohler, R. Rapp & J. Stroth
More informationHigh Temperature/Density QCD
High Temperature/Density QCD Frithjof Karsch, BNL and Bielefeld University Temperature ~17 MeV Early Universe Future LHC Experiments Crossover Current RHIC Experiments RHIC Energy Scan Critical Point 1
More informationCold and dense QCD matter
Cold and dense QCD matter GCOE sympodium Feb. 15, 2010 Yoshimasa Hidaka Quantum ChromoDynamics Atom Electron 10-10 m Quantum ChromoDynamics Atom Nucleon Electron 10-10 m 10-15 m Quantum ElectroDynamics
More informationfrom Taylor expansion at non-zero density From Lattices to Stars INT, University of Washington, Seattle, 28. April 2004
The chiral critical point in 3 flavor QCD from Taylor expansion at non-zero density From Lattices to Stars INT, University of Washington, Seattle, 28. April 2004 Christian Schmidt Universität Wuppertal
More informationLattice QCD. QCD 2002, I. I. T. Kanpur, November 19, 2002 R. V. Gavai Top 1
Lattice QCD QCD 2002, I. I. T. Kanpur, November 19, 2002 R. V. Gavai Top 1 Lattice QCD : Some Topics QCD 2002, I. I. T. Kanpur, November 19, 2002 R. V. Gavai Top 1 Lattice QCD : Some Topics Basic Lattice
More informationSpectral functions and transport properties from lattice QCD. Olaf Kaczmarek
Geistes-, Natur-, Sozial- und Technikwissenschaften gemeinsam unter einem Dach Spectral functions and transport properties from lattice QCD Olaf Kaczmarek University of Bielefeld 8th International Workshop
More informationThe 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 informationarxiv: v1 [hep-ph] 24 Oct 2012
Screening Masses of Scalar and Pseudo-scalar Excitations in Quark-gluon Plasma P. Czerski The H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, ul. Radzikowskiego 152, arxiv:1210.6531v1
More informationMedium Modifications of Hadrons and Electromagnetic Probe
Medium Modifications of Hadrons and Texas A&M University March 17, 26 Outline QCD and Chiral Symmetry QCD and ( accidental ) Symmetries Theory for strong interactions: QCD L QCD = 1 4 F a µν Fµν a + ψ(i
More informationWeakly coupled QGP? Péter Petreczky
Weakly coupled QGP? Péter Petreczky QGP is expected to be strongly coupled around T c : how does this features manifest itself in terms of different quantities, how do we observe it on lattice? QGP: state
More informationLecture II: Owe Philipsen. The ideal gas on the lattice. QCD in the static and chiral limit. The strong coupling expansion at finite temperature
Lattice QCD, Hadron Structure and Hadronic Matter Dubna, August/September 2014 Lecture II: Owe Philipsen The ideal gas on the lattice QCD in the static and chiral limit The strong coupling expansion at
More informationFlavoured aspects of the QCD thermodynamics
Journal of Physics: Conference Series PAPER OPEN ACCESS Flavoured aspects of the QCD thermodynamics To cite this article: O. Kaczmarek 2016 J. Phys.: Conf. Ser. 668 012003 View the article online for updates
More informationLow mass dileptons from Pb + Au collisions at 158 A GeV
PRAMANA cfl Indian Academy of Sciences Vol. 60, No. 5 journal of May 2003 physics pp. 1073 1077 Low mass dileptons from Pb + Au collisions at 158 A GeV SOURAV SARKAR 1, JAN-E ALAM 2;Λ and T HATSUDA 2 1
More informationQuarkonium Free Energy on the lattice and in effective field theories
Quarkonium Free Energy on the lattice and in effective field theories J. H. Weber 1,2 in collaboration with A. Bazavov 2, N. Brambilla 1, P. Petreczky 3 and A. Vairo 1 (TUMQCD collaboration) 1 Technische
More informationQGP Thermodynamics and Phase Transitions. Mahnaz Q. Haseeb Department of Physics CIIT, Islamabad
QGP Thermodynamics and Phase Transitions Mahnaz Q. Haseeb Department of Physics CIIT, Islamabad Outline Thermodynamics in QGP What are the phase transitions? Order of the phase transition Where to study
More informationQCD in Heavy-ion collisions
QCD in Heavy-ion collisions RPP 2012, Montpellier transition t p z q IPhT, Saclay 1 Outline 1 2 3 4 5 6 7 transition 2 1 transition 2 3 4 5 6 transition 7 2 Asymptotic freedom Running coupling : α s =
More informationQCD Thermodynamics at Intermediate Coupling. Nan Su. Frankfurt Institute for Advanced Studies
Nan Su p. 1 QCD Thermodynamics at Intermediate Coupling Nan Su Frankfurt Institute for Advanced Studies Collaborators: Jens O. Andersen & Lars E. Leganger (NTNU), Michael Strickland (Gettysburg) Phys.
More informationBaryonic Spectral Functions at Finite Temperature
Baryonic Spectral Functions at Finite Temperature Masayuki Asakawa Department of Physics, Osaka University July 2008 @ XQCD 2008 QCD Phase Diagram T LHC 160-190 MeV 100MeV ~ 10 12 K RHIC crossover CEP(critical
More informationThe direct photon puzzle
The direct photon puzzle Jean-François Paquet January 16, 2017 ALICE Journal Club Jean-François Paquet (Stony Brook) 2 What is the direct photon puzzle? > Background
More informationFinite Temperature Field Theory
Finite Temperature Field Theory Dietrich Bödeker, Universität Bielefeld 1. Thermodynamics (better: thermo-statics) (a) Imaginary time formalism (b) free energy: scalar particles, resummation i. pedestrian
More informationSYMMETRY BREAKING PATTERNS in QCD: CHIRAL and DECONFINEMENT Transitions
QCD Green s Functions, Confinement and Phenomenology ECT*, Trento, 1 September 29 SYMMETRY BREAKING PATTERNS in QCD: CHIRAL and DECONFINEMENT Transitions Wolfram Weise Modelling the PHASES of QCD in contact
More informationThe Chiral and Deconfinement Phase Transitions in Strongly-Interacting Matter
The Chiral and Deconfinement Phase Transitions in Strongly-Interacting Matter in collaboration with: B-J. Schaefer & J. Wambach Schaefer, MW: PRD 79 (1418) arxiv: 812.2855 [hep-ph] 9.3.29 Mathias Wagner
More informationLattice Methods for Hadron Spectroscopy: new problems and challenges
Lattice Methods for Hadron Spectroscopy: new problems and challenges Sinéad Ryan School of Mathematics, Trinity College Dublin, Ireland INT, Seattle, 10 th August, 2012 Sinéad Ryan (TCD) 1 / 28 Plan A
More informationReal time lattice simulations and heavy quarkonia beyond deconfinement
Real time lattice simulations and heavy quarkonia beyond deconfinement Institute for Theoretical Physics Westfälische Wilhelms-Universität, Münster August 20, 2007 The static potential of the strong interactions
More informationHot and Magnetized Pions
.. Hot and Magnetized Pions Neda Sadooghi Department of Physics, Sharif University of Technology Tehran - Iran 3rd IPM School and Workshop on Applied AdS/CFT February 2014 Neda Sadooghi (Dept. of Physics,
More informationQuarkonia physics in Heavy Ion Collisions. Hugo Pereira Da Costa CEA/IRFU Rencontres LHC France Friday, April
Quarkonia physics in Heavy Ion Collisions Hugo Pereira Da Costa CEA/IRFU Rencontres LHC France Friday, April 5 2013 1 2 Contents Introduction (QGP, Heavy Ion Collisions, Quarkonia) Quarkonia at the SPS
More informationQuark matter and the high-density frontier. Mark Alford Washington University in St. Louis
Quark matter and the high-density frontier Mark Alford Washington University in St. Louis Outline I Quarks at high density Confined, quark-gluon plasma, color superconducting II Color superconducting phases
More informationQCD 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 informationViscosity 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 informationGeistes-, Natur-, Sozial- und Technikwissenschaften gemeinsam unter einem Dach. Olaf Kaczmarek. University of Bielefeld
Geistes-, Natur-, Sozial- und Technikwissenschaften gemeinsam unter einem Dach (some selected) Recent Developments in Lattice Studies for Quarkonia Olaf Kaczmarek University of Bielefeld Hard Probes 2012
More informationMomentum diffusion of heavy quarks from Lattice QCD
Momentum diffusion of heavy quarks from Lattice QCD in collaboration with Saumen Datta, Rajiv Gavai, Pushan Majumdar Phys.Rev. D85 (2012) 014510 Debasish Banerjee Albert Einstein Center for Fundamental
More informationPast, Present, and Future of the QGP Physics
Past, Present, and Future of the QGP Physics Masayuki Asakawa Department of Physics, Osaka University November 8, 2018 oward Microscopic Understanding In Condensed Matter Physics 1st Macroscopic Properties
More informationFractionized 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 informationQCD quasi-particle model with widths and Landau damping
QCD quasi-particle model with widths and Landau damping R. Schulze collaborators: M. Bluhm, D. Seipt, B. Kämpfer 13.03.2007 R. Schulze (TU Dresden) QCD QP model with widths 13.03.2007 1 / 19 Motivation
More informationThe Quark-Gluon plasma in the LHC era
The Quark-Gluon plasma in the LHC era Journées de prospective IN2P3-IRFU, Giens, Avril 2012 t z IPhT, Saclay 1 Quarks and gluons Strong interactions : Quantum Chromo-Dynamics Matter : quarks ; Interaction
More informationThe chiral anomaly and the eta-prime in vacuum and at low temperatures
The chiral anomaly and the eta-prime in vacuum and at low temperatures Stefan Leupold, Carl Niblaeus, Bruno Strandberg Department of Physics and Astronomy Uppsala University St. Goar, March 2013 1 Table
More informationQCD thermodynamics OUTLINE:
QCD thermodynamics Frithjof Karsch, BNL OUTLINE: Equation of state and transition temperature QCD phase diagram close to the chiral limit Charge fluctuations and the RHIC search for the critical point
More informationSpectral Properties of Quarks in the Quark-Gluon Plasma
Lattice27 : 2, Aug., 27 Spectral Properties of Quarks in the Quark-Gluon Plasma Masakiyo Kitazawa (Osaka Univ.) F. Karsch and M.K., arxiv:78.299 Why Quark? Because there are quarks. in the deconfined phase
More informationCan we locate the QCD critical endpoint with a Taylor expansion?
Can we locate the QCD critical endpoint with a Taylor expansion? Bernd-Jochen Schaefer Karl-Franzens-Universität Graz, Austria 7 th February - 6 th March, 1 48. Internationale Universitätswochen für Theoretische
More informationHeavy quarkonium physics from Euclidean correlators
Heavy quarkonium physics from Euclidean correlators Yannis Burnier Albert Einstein Center for Fundamental Physics, Bern University Talk at ECT*, based on [YB, M. Laine, JHEP 1211 (2012) 086] [YB, A.Rothkopf,
More informationOn the role of fluctuations in (2+1)-flavor QCD
On the role of fluctuations in (2+1)-flavor QCD Bernd-Jochen Schaefer Germany Germany November 29 th, 217 Conjectured QC3D phase diagram Temperature early universe LHC crossover vacuum RHIC SPS =
More informationT-Matrix approach to heavy quarks in the Quark-Gluon Plasma
T-Matrix approach to heavy quarks in the Quark-Gluon Plasma Hendrik van Hees Justus-Liebig-Universität Gießen June 1, 28 with M. Mannarelli, V. Greco, and R. Rapp Institut für Theoretische Physik JUSTUS-LIEBIG-
More informationLattice QCD at non-zero temperature and density
Lattice QCD at non-zero temperature and density Frithjof Karsch Bielefeld University & Brookhaven National Laboratory QCD in a nutshell, non-perturbative physics, lattice-regularized QCD, Monte Carlo simulations
More informationThe QCD phase diagram at real and imaginary chemical potential
Strongnet Meeting Trento, October 211 The QCD phase diagram at real and imaginary chemical potential Owe Philipsen Is there a critical end point in the QCD phase diagram? Is it connected to a chiral phase
More informationF. Karsch for USQCD, LQCD II p. 1/27. Lattice QCD at High Temperature and Density. Frithjof Karsch for USQCD Brookhaven National Laboratory
F. Karsch for USQCD, LQCD II p. 1/27 Lattice QCD at High Temperature and Density Frithjof Karsch for USQCD Brookhaven National Laboratory F. Karsch for USQCD, LQCD II p. 2/27 Towards A New State of Matter
More informationThe critical point in QCD
The critical point in QCD Thomas Scha fer North Carolina State University The phase diagram of QCD L = q f (id/ m f )q f 1 4g 2 Ga µνg a µν 2000: Dawn of the collider era at RHIC Au + Au @200 AGeV What
More informationCalculation of decay constant using gradient flow, towards the Kaon bag parameter. University of Tsukuba, A. Suzuki and Y.
Calculation of decay constant using gradient flow, towards the Kaon bag parameter University of Tsukuba, A. Suzuki and Y. Taniguchi Contents Goal : Calculation of B K with Wilson fermion using gradient
More informationMelting 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 informationThe phase diagram of strongly interacting matter
The phase diagram of strongly interacting matter TIFR Indian Institute of Science, Bangalore November 25, 2011 Introduction 1 Introduction 2 Bulk Strongly Interacting Matter 3 Relativistic Heavy-ion Collisions
More informationA NEARLY PERFECT INK: The quest for the quark-gluon plasma at the Relativistic Heavy Ion Collider
A NEARLY PERFECT INK: The quest for the quark-gluon plasma at the Relativistic Heavy Ion Collider Berndt Mueller (Duke University) LANL Theory Colloquium 2 June 2005 The Road to the Quark-Gluon Plasma
More informationarxiv: v1 [hep-lat] 10 Oct 2015
BI-TP /6 A stochastic approach to the reconstruction of spectral functions in lattice QCD arxiv:.9v [hep-lat] Oct, Heng-Tong Ding Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle
More informationLattice QCD at non-zero temperature and density
Lattice QCD at non-zero temperature and density Frithjof Karsch Bielefeld University & Brookhaven National Laboratory QCD in a nutshell, non-perturbative physics, lattice-regularized QCD, Monte Carlo simulations
More informationGeistes-, Natur-, Sozial- und Technikwissenschaften gemeinsam unter einem Dach. Olaf Kaczmarek. University of Bielefeld
Geistes-, Natur-, Sozial- und Technikwissenschaften gemeinsam unter einem Dach (some selected) Recent Developments in Lattice Studies for Quarkonia Olaf Kaczmarek University of Bielefeld 5th International
More informationSpectral functions and hadron spectroscopy in lattice QCD
Spectral functions and hadron spectroscopy in lattice QCD Anthony Francis Jefferson Laboratory 06.01.2014 Outline Biography Pre-academia Academia Spectral functions in lattice QCD at finite temperature
More informationThe phase diagram of strongly interacting matter
The phase diagram of strongly interacting matter IOP Bhubaneshwar August 8, 2011 Introduction Introduction Bulk Strongly Interacting Matter Relativistic Heavy-ion Collisions Fluctuations of Conserved Quantities
More informationThe symmetries of QCD (and consequences)
The symmetries of QCD (and consequences) Sinéad M. Ryan Trinity College Dublin Quantum Universe Symposium, Groningen, March 2018 Understand nature in terms of fundamental building blocks The Rumsfeld
More informationQCD Phase Diagram. M. Stephanov. U. of Illinois at Chicago. QCD Phase Diagram p. 1/13
QCD Phase Diagram p. 1/13 QCD Phase Diagram M. Stephanov U. of Illinois at Chicago QCD Phase Diagram p. 2/13 QCD phase diagram (contemporary view) T, GeV QGP 0.1 crossover critical point hadron gas vacuum
More informationQCD thermodynamics. Frithjof Karsch, BNL/Bielefeld
QCD thermodynamics Frithjof Karsch, BNL/Bielefeld Key Questions NSAC Long Range Plan 2007 What are the phases of strongly interacting matter, and what role do they play in the cosmos? What does QCD predict
More informationMATTER. Sourendu Gupta (TIFR, Mumbai) for the Indian Lattice Gauge Theory Initiative at IIT-Roorkee. March 13, 2005
MATTER Sourendu Gupta (TIFR, Mumbai) for the Indian Lattice Gauge Theory Initiative at IIT-Roorkee March 13, 2005 1 Can the mass of this system be computed from the standard model of particle physics?
More informationQCD in the light quark (up & down) sector (QCD-light) has two mass scales M(GeV)
QCD in the light quark (up & down) sector (QCD-light) has two mass scales M(GeV) 1 m N m ρ Λ QCD 0 m π m u,d In a generic physical system, there are often many scales involved. However, for a specific
More informationThermal production of gravitinos
Thermal production of gravitinos Slava Rychkov Scuola Normale Superiore & INFN, Pisa Università di Padova April 5 2007 hep-ph/0701104 with Alessandro Strumia (to appear in PhysRevD) Outline Gravitino in
More informationMagnetic-Field-Induced insulator-conductor transition in quenched lattice gauge theory ArXiv: ,
Magnetic-Field-Induced insulator-conductor transition in quenched lattice gauge theory ArXiv:0907.0494, 1003.2180 Pavel Buividovich Lattice 2010 Magnetic phenomena in hadronic matter Magnetic phenomena
More informationLattice 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 informationTemperature dependence of shear viscosity of SU(3) gluodynamics within lattice simulation
Temperature dependence of shear viscosity of SU(3) gluodynamics within lattice simulation V.V. Braguta ITEP 20 April, 2017 Outline: Introduction Details of the calculation Shear viscocity Fitting of the
More informationarxiv: v1 [hep-ph] 18 Feb 2016
Nuclear Physics A Nuclear Physics A 00 (2016) 1 5 www.elsevier.com/locate/procedia arxiv:1602.05811v1 [hep-ph] 18 Feb 2016 Abstract Confronting fluctuations of conserved charges in central nuclear collisions
More informationFunctional renormalization group approach of QCD and its application in RHIC physics
Functional renormalization group approach of QCD and its application in RHIC physics Wei-jie Fu Dalian University of Technology wjfu@dlut.edu.cn The Third Symposium on Theoretical Physics at Peking U.
More informationTransport theory and low energy properties of colour superconductors
1 Transport theory and low energy properties of colour superconductors Daniel F. Litim Theory Group, CERN, CH 1211 Geneva 23, Switzerland. CERN-TH-2001-315 The one-loop polarisation tensor and the propagation
More informationThermal EM Radiation in Heavy-Ion Collisions
Thermal EM Radiation in Heavy-Ion Collisions Ralf Rapp Cyclotron Institute + Dept of Phys & Astro Texas A&M University College Station, USA Symposium on Jet and Electromagnetic Tomography of Dense Matter
More informationHadronic correlation and spectral functions in the QGP from Quenched Lattice QCD. Olaf Kaczmarek
Geistes-, Natur-, Sozial- und Technikwissenschaften gemeinsam unter einem Dach Hadronic correlation and spectral functions in the QGP from Quenched Lattice QCD Olaf Kaczmarek in collaboration with: HengTong
More informationTransport coefficients from Kinetic Theory: Bulk viscosity, Diffusion, Thermal conductivity. Debarati Chatterjee
Transport coefficients from Kinetic Theory: Bulk viscosity, Diffusion, Thermal conductivity Debarati Chatterjee Recap: Hydrodynamics of nearly perfect fluids Hydrodynamics: correlation functions at low
More informationThermal Transport and Energy Loss in Non-critical Holographic QCD
Thermal Transport and Energy Loss in Non-critical Holographic QCD Umut Gürsoy University of Utrecht DAMTP - Cambridge - November 5, 2009 U.G., E. Kiritsis, F. Nitti, L. Mazzanti ongoing U.G., E. Kiritsis,
More informationQCD Phase Transitions and Quark Quasi-particle Picture
QCD Phase Transitions and Quark Quasi-particle Picture Teiji Kunihiro (YITP, Kyoto) YITP workshop New Developments on Nuclear Self-consistent Mean-field Theories May 30 June 1, 2005 YITP, Kyoto 1.Introduction
More informationarxiv: v1 [hep-lat] 19 Feb 2012
Cent. Eur. J. Phys. -5 Author version Central European Journal of Physics Determination of Freeze-out Conditions from Lattice QCD Calculations Review Article arxiv:.473v [hep-lat] 9 Feb Frithjof Karsch,
More informationQCD in an external magnetic field
QCD in an external magnetic field Gunnar Bali Universität Regensburg TIFR Mumbai, 20.2.12 Contents Lattice QCD The QCD phase structure QCD in U(1) magnetic fields The B-T phase diagram Summary and Outlook
More informationAxial symmetry in the chiral symmetric phase
Axial symmetry in the chiral symmetric phase Swagato Mukherjee June 2014, Stoney Brook, USA Axial symmetry in QCD massless QCD Lagrangian is invariant under U A (1) : ψ (x) e i α ( x) γ 5 ψ(x) μ J 5 μ
More informationThe Phase Structure of the Polyakov Quark-Meson Model beyond Mean Field
The Phase Structure of the Polyakov Quark-Meson Model beyond Mean Field Tina Katharina Herbst In Collaboration with B.-J. Schaefer and J.M. Pawlowski arxiv: 18.81 [hep-ph] 5th International Conference
More informationWIMP Dark Matter and the QCD Equation of State
Doktoratskolleg Graz Karl-Franzens-Universität, May 2006 WIMP Dark Matter and the QCD Equation of State Owe Philipsen Universität Münster Motivation + overview Cosmology I: expansion and contents of the
More informationThe Phase Structure of the Polyakov Quark-Meson Model beyond Mean Field
The Phase Structure of the Polyakov Quark-Meson Model beyond Mean Field Tina Katharina Herbst In Collaboration with B.-J. Schaefer and J.M. Pawlowski arxiv: 18.81 [hep-ph] (to appear in Phys. Lett. B)
More informationHeavy-Quark Transport in the QGP
Heavy-Quark Transport in the QGP Hendrik van Hees Justus-Liebig Universität Gießen October 13, 29 Institut für Theoretische Physik JUSTUS-LIEBIG- UNIVERSITÄT GIESSEN Hendrik van Hees (JLU Gießen) Heavy-Quark
More information