A Fugue in Two Colors
|
|
- Joleen Ramsey
- 5 years ago
- Views:
Transcription
1 A Fugue in Two Colors Simon Hands (Swansea U.) Why two colors? Equation of state for µ Quark number susceptibility Topology Quarkonia Collaborators: Seyong Kim, Jon-Ivar Skullerud, Phil Kenny, Peter Sitch, Pietro Giudice, Alessandro Amato,Tim Hollowood, Joyce Myers STRONGnet, ECT* Trento 4 th October 2
2 The QCD Phase Diagram T(MeV) 2 T c RHIC/ALICE crossover (µ!," )! critical endpoint FAIR? quark!gluon plasma hadronic fluid nuclear matter crystalline quark matter? compact stars µ 5 onset 5 color superconductor µ (MeV)
3 František Kupka Fugue in Two Colors (92)
4 . p.9/3 The Sign Problem for µ In Euclidean metric the QCD Lagrangian reads L QCD = ψ(m + m)ψ + 4 F µνf µν Straightforward to show with M(µ) = D/ [A] + µγ γ 5 M(µ)γ 5 M ( µ) detm(µ) = (detm( µ)) ie. Path integral measure is not positive definite for µ Fundamental reason is explicit breaking of time reversal symmetry Monte Carlo importance sampling, the mainstay of lattice QCD, is ineffective
5 . p./3 What goes wrong with the usual positive HMC measure? detm M { M describes quarks q 3 M describes conjugate quarks q c 3 In general qq c gauge singlet bound states with B > In QCD some qq c states degenerate with the pion unphysical onset of nuclear matter at µ o 2 m π. Goldstone baryons: bug for QCD, feature for QC 2 D... Calculations with the true complex measure det 2 M nullify effects of qq c states for the vacuum with T =, 2 m π < µ < 3 m N by cancellations among configurations with different signs/phases The Silver Blaze Problem...
6 . p./3 3 Fermion density 2.2 HMC TSMB TSMB(+) Im!. n!!2!3...2 Re!! µ This has been numerically verified, eg. in TSMB simulations of Two Color QCD with N = adjoint staggered quarks. SJH,Montvay,Scorzato,Skullerud, EurPJ C22 (2) 45 The fake transition to a superfluid phase, forbidden by the Pauli Principle, at µ o a.35 disappears once configurations with detm < are included with the correct weight.
7 QC 2 D - the large Nc - limit with gauge group SU(2): detm = detτ 2 Mτ 2 = detm so det is real 2, 2 are equivalent qq baryons and qq mesons lie in same multiplets For µ mπ<<mρ the µ-dependence can be studied using chiral effective theory (χpt) Key prediction: for µ ½mπ a non-zero quark density nq> develops, along with a superfluid diquark condensate qq Textbook BEC formed from weakly-interacting Goldstone qq baryons
8 . p.4/3 Quantitatively, for µ > µ o χpt predicts ψψ ψψ = ( µo µ ) 2 ; n q = 8N f f 2 πµ ( ) µ4 o µ 4 ; qq ψψ = ( µo µ ) 4 [Kogut, Stephanov, Toublan, Verbaarschot & Zhitnitsky, Nucl.Phys.B582(2)477] confirmed by QC 2 D simulations with staggered fermions m=. m=.5 m=. 3. <""> <" tr "> (<""> 2 +<" tr "> 2 ).5 n B µ/m! µ [SJH, I. Montvay, S.E. Morrison, M. Oevers, L. Scorzato J.I. Skullerud, Eur.Phys.J.C7(2)285, ibid C22(2)45]
9 Thermodynamics at T = from χpt quark number density n χp T = 8N f f 2 πµ pressure p χp T = Ω V = µ µ o n q dµ = 4N f f 2 π energy density ε χp T = p + µn q = 4N f f 2 π ( µ4 o ( [KSTVZ] ) µ 2 + µ4 o 2µ 2 µ 2 o µ 4 ) ( µ 2 3 µ4 o µ 2 + 2µ 2 o ) conformal anomaly (T µµ ) χp T = ε 3p = 8N f f 2 π ( ) µ 2 3 µ4 o + 4µ 2 µ 2 o speed of sound v χp T = p ε = NB (T µµ ) χp T < for µ > 3µ o ( µ4 o µ 4 +3 µ4 o µ 4 ) 2. p.5/3
10 This is to be contrasted with another paradigm for cold dense matter, namely a degenerate system of weakly interacting (deconfined) quarks populating a Fermi sphere up to some maximum momentum k F E F = µ n SB = N fn c 3π 2 µ3 ; ε SB = 3p SB = N fn c 4π 2 µ4 ; δ SB = ; v SB = 3 Superfluidity arises from condensation of diquark Cooper pairs from within a layer of thickness centred on the Fermi surface: qq µ 2. p.6/3
11 . p.7/3 2.5 n!pt /n SB.5 "!PT /" SB p!pt /p SB v!pt /v SB µ Q /µ o µ/µ o By equating free energies, we naively predict a first order deconfining transition from BEC to quark matter; eg. for f 2 π = N c /6π 2, µ d 2.3µ o.
12 Simulation Details ( Nf =2 Wilson flavors) Coarse Lattice: 8 3 x6 β=.7 κ=.78 a=.23(5)fm; mπa=.79(); mπ/mρ=.779(4); T=54()MeV O(3) HMC trajectories of mean length.5 on coarse lattice SJH, S. Kim and J.I Skullerud, Eur. Phys. J. C48 (26) 93 O(5) HMC trajectories of mean length.5 on fine lattice Fine Lattice: 2 3 x24 β=.9 κ=.68 a=.86(8)fm; mπa=.68(); mπ/mρ=.8(); T=44(2)MeV SJH, S. Kim and J.I Skullerud, PRD8 (2) 952(R) also have µ-scans on 2 3 x6, 6 3 x2 T=66(3), 88(4)MeV To counter IR fluctuations and maintain HMC ergodocity, we introduce a diquark source term jκ(ψ tr 2 Cγ 5 τ 2 ψ ψ Cγ 5 τ 2 ψtr 2 ) In most results presented here ja=.4 Have just completed µ-scan on fine lattice with ja=.2
13 Computer Effort N cg j=.4 j=.4 V=6!x24 j=.3 j=.2 dt Acceptance aµ The number of congrad iterations required for convergence during HMC guidance rises with µ accumulation of small eigenvalues of M?
14 Equation of State on Fine Lattice (2 3 x24) ! q /! SB.5 n q /n SB p/p SB n q /n SB (a=.23fm) ! (GeV) Identify onset at μ o 36MeV Transition/crossover to quark matter at μq 53MeV nq 4-5fm -3
15 Conformal Anomaly Tµµ = ε-3p (T µµ ) g (T µµ ) q T µµ -. (T µµ ) g = a β a 3β Tr t + s ; LCP N c (T µµ ) q = a κ a κ (4N f N c ψψ ) LCP µ (GeV) Quark and gluon contributions: very similar for μ<μq: NR bound states? differ for μ>μ Q : q, g governed by different statistics? (T μμ ) q changes sharply at μ D 85MeV ε>3p in limit μ
16 Order parameters Superfluid condensate qq.2 j extrapolation scales à la BCS for μq μ μd <qq>/µ 2..4 <qq>/µ 2 Polyakov line Polyakov (a=.23fm) µa µ (GeV) Polyakov line rises from zero at μ μ D Deconfinement at μ D 85MeV n q 6-32 fm -3
17 Into the interior of the T-µ plane a =.8fm a =.23fm <L> !x24 j=.4 6!x24 j=.4 2!x24 j=.3 2!x24 j=.2 2!x6 j=.4 6!x2 j=.4 T (MeV) µ (MeV) aµ Recent data from 2 3 x6, 6 3 x2 (T=66, 88MeV) show that µ D is highly T-sensitive... ΔµD/ΔT - <L> µ=. µ=.575 µ= while β-scans on 2 3 x6 suggest there may be more than one deconfined phase! One superfluid, one normal? ! T 8MeV
18 Quark Number Susceptibility (w/ P. Giudice, J.I. Skullerud) m free =. m free =.67 m free =.333 χ q = T V s 2 ln Z µ 2! nq /! nq free χq χpt /χq SB µ exactly what s expected of a Fermi surface for µq<µ<µd Sensitivity to value of mfree
19 Unexpectedly, χq(µ) does not show same T-dependence as the Polyakov loop 2..8 "=.9, k=.68, j=.4.3 "=.9, k=.68, j= ^3*2 2^3*6 6^3*24.2 6^3*2 2^3*6 6^3*24! nq /µ Polyakov loop aµ aµ Apparently the increase in χq is not associated with deconfinement Qualitatively different from (a) the thermal QCD phase transition (b) analytic/numerical studies on small, cold volumes (the attoworld ) SJH, J. Myers, T.J. Hollowood, JHEP 7 (2) 86, 2 (2) 57
20 Partial Summary QC 2 D has several distinct phases as µ is increased a vacuum phase with nq for µ<µo a superfluid BEC phase described by χpt for µo<µ<µq a superfluid confined quark matter phase for µq<µ<µd deconfined quark matter for µ>µd (perhaps in both superfluid and normal versions) Behaviour for µq<µ<µd resembles the quarkyonic phase postulated by McLerran and Pisarski based on large-n c considerations [L. McLerran and R.D. Pisarski Nucl. Phys. A796 (27) 83] NB: using Wilson fermions we are unable to determine whether the quarkyonic phase is chirally symmetric The deconfining transition at µd is very T-dependent - how many deconfined phases are there?
21 Topological Susceptibility SJH, P. Kenny, PLB7 (2) 373 We have investigated instanton distributions and sizes using cooling.8 N f = 2 N f = 4.6 " #"% "! #"$ !"! #"$ Topological susceptibility shows no structure for Nf = 2 (maybe lattice too coarse?) but appears enhanced in quarkyonic region for Nf = 4 dimensionless plot χ.25 /σ.5 vs. µ/σ.5 Cf. suppression in superfluid phase for Nf = 8 B. Alles, M. D Elia & M.P. Lombardo, NPB752(26)24
22 .5!"#"$%&'!"#"$%('!"#"$%)!"#"$%* N !(a) "# $! For µo<µ<µd the mean instanton size ρi decreases f(!% ~ e -const/!& One-loop Debye screening: Schäfer & Shuryak n I (µ) exp [ RMP 7(998)323 N f ρ 2 Iµ 2] exp [ const ] µ ! In QCD 2+ : Enhancement of U()A breaking first-order region of Columbia plot grows with µ?
23 .5!"#"$%&'!"#"$%('!"#"$%)!"#"$%* N !(a) "# $! For µo<µ<µd the mean instanton size ρi decreases f(!% ~ e -const/!& One-loop Debye screening: Schäfer & Shuryak n I (µ) exp [ RMP 7(998)323 N f ρ 2 Iµ 2] exp [ const ] µ ! In QCD 2+ : Enhancement of U()A breaking first-order region of Columbia plot grows with µ?
24 Quarkonia Results from 2 3 x24 j=.2 Study propagation of heavy QQ (QQ) states through baryonic medium using tree-level, tadpole-improved NRQCD.3.2 M S (µ) M S () M=3. M=4. M=5..3 M3 S (µ) M S (µ) M=3. M=4. M= Mass of singlet s-wave state shows interesting µ-dependence. Also see weak effect in hyperfine splitting Interpret as QQ Qq + qq as nq?
25 p-wave states not well-fitted by a simple pole µ =.75 (m = 3.) µ =. (m = 3.) quarkyonic S P 2.5 deconfined S P Here we plot the propagator ratio CQQ(t;µ)/CQQ(t;) for spin-singlet s- and p- waves states Qualitative difference between quarkyonic and deconfined regimes
26 Summary dense QC 2 D has three distinct transitions/crossovers at μo<μq<μd: Vacuum for μ<μo BEC for μo<μ<μq Quarkyonic phase for μq<μ<μd (are the 2-body bound states of Nc=2 special?) Deconfined phase for μ>μd It s deconfinement, Jim!...but not as we know it? Very temperature sensitive - how many deconfined phases are there? signs of interesting topological structure - instantons enhanced at small µ Use of QQ states as probes of baryonic matter
International Workshop on QCD Green s Functions, Confinement and Phenomenology September 7-11, 2009 ECT Trento, Italy
Lattice Study of Dense Two Color Matter Department of Physics, Swansea University, Singleton Park, Swansea SA2 8PP, U.K. E-mail: s.hands@swan.ac.uk I present results from lattice simulations of Two Color
More informationPhases and facets of 2-colour matter
Phases and facets of 2-colour matter Jon-Ivar Skullerud with Tamer Boz, Seamus Cotter, Leonard Fister Pietro Giudice, Simon Hands Maynooth University New Directions in Subatomic Physics, CSSM, 10 March
More informationQCD-like theories at finite density
QCD-like theories at finite density 34 th International School of Nuclear Physics Probing the Extremes of Matter with Heavy Ions Erice, Sicily, 23 September 212 Lorenz von Smekal 23. September 212 Fachbereich
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 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 informationLQCD 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 informationThe QCD phase diagram at low baryon density from lattice simulations
ICHEP 2010 Paris, July 2010 The QCD phase diagram at low baryon density from lattice simulations Owe Philipsen Introduction Lattice techniques for finite temperature and density The phase diagram: the
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 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 informationG2 gauge theories. Axel Maas. 14 th of November 2013 Strongly-Interacting Field Theories III Jena, Germany
G2 gauge theories Axel Maas 14 th of November 2013 Strongly-Interacting Field Theories III Jena, Germany Overview Why G2? Overview Why G2? G2 Yang-Mills theory Running coupling [Olejnik, Maas JHEP'08,
More informationTowards thermodynamics from lattice QCD with dynamical charm Project A4
Towards thermodynamics from lattice QCD with dynamical charm Project A4 Florian Burger Humboldt University Berlin for the tmft Collaboration: E.-M. Ilgenfritz (JINR Dubna), M. Müller-Preussker (HU Berlin),
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 informationBulk Thermodynamics: What do we (want to) know?
Bulk Thermodynamics: What do we (want to) know? µ = : properties of transition in, ( + 1)-flavor QCD: crossover or phase transition, deconfinement vs. chiral symmetry restoration, universality,... T c,
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 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 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 informationCritical Temperature and Equation of state from N f = 2 twisted mass lattice QCD
Critical Temperature and Equation of state from N f = 2 twisted mass lattice QCD Florian Burger Humboldt University Berlin for the tmft Collaboration: E. M. Ilgenfritz, M. Müller-Preussker, M. Kirchner
More informationG 2 QCD Neutron Star. Ouraman Hajizadeh in collaboration with Axel Maas. November 30, 2016
G 2 QCD Neutron Star Ouraman Hajizadeh in collaboration with Axel Maas November 30, 2016 Motivation Why Neutron Stars? Neutron Stars: Laboratory of Strong Interaction Dense Objects: Study of strong interaction
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 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 informationQCD 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 informationPOLYAKOV LOOP FLUCTUATIONS AND DECONFINEMENT IN THE LIMIT OF HEAVY QUARKS P. M. Lo 1,, K. Redlich 1, C. Sasaki 1,2
ˆ ˆŠ Œ ˆ ˆ Œ ƒ Ÿ 2015.. 46.. 5 POLYAKOV LOOP FLUCTUATIONS AND DECONFINEMENT IN THE LIMIT OF HEAVY QUARKS P. M. Lo 1,, K. Redlich 1, C. Sasaki 1,2 1 Institute of Theoretical Physics, University of Wroclaw,
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 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 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 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 informationBulk Thermodynamics in SU(3) gauge theory
Bulk Thermodynamics in SU(3) gauge theory In Monte-Carlo simulations ln Z(T) cannot be determined but only its derivatives computational cost go as large cutoff effects! Boyd et al., Nucl. Phys. B496 (1996)
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 informationThe instanton and the phases of QCD
The instanton and the phases of QCD Naoki Yamamoto (University of Tokyo) Introduction contents QCD phase structure from QCD symmetries (1) QCD phase structure from instantons (2) Summary & Outlook (1)
More informationLattice QCD study for relation between quark-confinement and chiral symmetry breaking
Lattice QCD study for relation between quark-confinement and chiral symmetry breaking Quantum Hadron Physics Laboratory, Nishina Center, RIKEN Takahiro M. Doi ( 土居孝寛 ) In collaboration with Hideo Suganuma
More informationThe phase diagram of QCD from imaginary chemical potentials
The phase diagram of QCD from imaginary chemical potentials Massimo D Elia Genoa University & INFN Quarks, Hadrons, and the Phase Diagram of QCD, St. Goar, september 3, 2009 In collaboration with Francesco
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 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 informationUnconfined World. Unconfined World. Quarkyonic World. Confined World O(1) Confined World O(1) Large N. Conventional Wisdom
Quarkyonic Matter Larry McLerran, Rob Pisarski, Yoshimasa Hidaka and Toru Kojo Krzysztof Redlich (Wroclaw, GSI), Chihiro Sasaki (Munich) A. Andronic, D. Blaschke, J. Cleymans, K. Fukushima, H. Oeschler,
More information1/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 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 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 informationPhase Transitions in High Density QCD. Ariel Zhitnitsky University of British Columbia Vancouver
Phase Transitions in High Density QCD Ariel Zhitnitsky University of British Columbia Vancouver INT Workshop, March 6-May 26, 2006 I. Introduction 1. The phase diagram of QCD at nonzero temperature and
More informationEffective theories for QCD at finite temperature and density from strong coupling
XQCD 2011 San Carlos, July 2011 Effective theories for QCD at finite temperature and density from strong coupling Owe Philipsen Introduction to strong coupling expansions SCE for finite temperature: free
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 informationPossible Color Octet Quark-Anti-Quark Condensate in the. Instanton Model. Abstract
SUNY-NTG-01-03 Possible Color Octet Quark-Anti-Quark Condensate in the Instanton Model Thomas Schäfer Department of Physics, SUNY Stony Brook, Stony Brook, NY 11794 and Riken-BNL Research Center, Brookhaven
More informationG 2 -QCD at Finite Density
G 2 -QCD at Finite Density A. Wipf Theoretisch-Physikalisches Institut, FSU Jena collaboration with Axel Maas (Jena) Lorenz von Smekal (Darmstadt/Gießen) Bjoern Wellegehausen (Gießen) Christian Wozar (Jena)
More informationPNJL Model and QCD Phase Transitions
PNJL Model and QCD Phase Transitions Hiromichi Nishimura Washington University in St. Louis INT Workshop, Feb. 25, 2010 Phase Transitions in Quantum Chromodynamics This Talk Low Temperature Lattice and
More informationChiral restoration and deconfinement in two-color QCD with two flavors of staggered quarks
Chiral restoration and deconfinement in two-color QCD with two flavors of staggered quarks David Scheffler, Christian Schmidt, Dominik Smith, Lorenz von Smekal Motivation Effective Polyakov loop potential
More informationDimensional reduction near the deconfinement transition
Dimensional reduction near the deconfinement transition Aleksi Kurkela ETH Zürich Wien 27.11.2009 Outline Introduction Dimensional reduction Center symmetry The deconfinement transition: QCD has two remarkable
More informationLarge-N c universality of phases in QCD and QCD-like theories
Large-N c universality of phases in QCD and QCD-like theories Masanori Hanada Department of Physics University of Washington Seattle, WA 98195-1560, USA 1 Introduction QCD with a finite baryon chemical
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 informationQuarksonic matter at high isospin density
第十二届 QCD 相变与相对论重离子碰撞 Quarksonic matter at high isospin density Gaoqing Cao Collaborators:L. He & X.-G. Huang First page article in Chin.Phys. C41, 051001 (2017) @ Xi an 1 Outline QCD phase diagrams at
More informationAnalytic continuation from an imaginary chemical potential
Analytic continuation from an imaginary chemical potential A numerical study in 2-color QCD (hep-lat/0612018, to appear on JHEP) P. Cea 1,2, L. Cosmai 2, M. D Elia 3 and A. Papa 4 1 Dipartimento di Fisica,
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 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 informationPolyakov Loop in a Magnetic Field
Polyakov Loop in a Magnetic Field Kenji Fukushima (Department of Physics, Keio University) March 17, 11 @ St.Goar 1 Talk Contents Relativistic Heavy-Ion Collision and Strong Magnetic Fields eb ~m ~118
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 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 informationChiral Magnetic Effect
Chiral Magnetic Effect Kenji Fukushima (Yukawa Institute for Theoretical Physics) 1 Strong q Angle, Strong CP Problem and Heavy-Ion Collisions P and CP Violation in the YM Theory Gauge Actions P- and CP-
More informationMass Components of Mesons from Lattice QCD
Mass Components of Mesons from Lattice QCD Ying Chen In collaborating with: Y.-B. Yang, M. Gong, K.-F. Liu, T. Draper, Z. Liu, J.-P. Ma, etc. Peking University, Nov. 28, 2013 Outline I. Motivation II.
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 informationChiral Random Matrix Model as a simple model for QCD
Chiral Random Matrix Model as a simple model for QCD Hirotsugu FUJII (University of Tokyo, Komaba), with Takashi Sano T. Sano, HF, M. Ohtani, Phys. Rev. D 80, 034007 (2009) HF, T. Sano, Phys. Rev. D 81,
More informationCold Nuclear Matter in Large Nc QCD. Continuous Advances in QCD 2011
Cold Nuclear Matter in Large Nc QCD Continuous Advances in QCD 2011 An overview Cold Nuclear Matter at Large Nc (Really Baryonic Matter) Heavy quark limit Quarkyonic matter? QCD AS Spatially averaged chiral
More informationMagnetized QCD phase diagram
Magnetized QCD phase diagram Márcio Ferreira, Pedro Costa, and Constança Providência CFisUC, University of Coimbra, Portugal New Frontiers in QCD 2018 May 30 - June 29 Yukawa Institute for Theoretical
More informationQCD Phases with Functional Methods
QCD Phases with Mario PhD-Advisors: Bernd-Jochen Schaefer Reinhard Alkofer Karl-Franzens-Universität Graz Institut für Physik Fachbereich Theoretische Physik Rab, September 2010 QCD Phases with Table of
More informationDynamical Locking of the Chiral and the Deconfinement Phase Transition
Dynamical Locking of the Chiral and the Deconfinement Phase Transition Jens Braun Friedrich-Schiller-University Jena Quarks, Gluons, and Hadronic Matter under Extreme Conditions St. Goar 17/03/2011 J.
More informationHeavy quark free energies and screening from lattice QCD
Heavy quark free energies and screening from lattice QCD Olaf Kaczmarek Universität Bielefeld February 9, 29 RBC-Bielefeld collaboration O. Kaczmarek, PoS CPOD7 (27) 43 RBC-Bielefeld, Phys.Rev.D77 (28)
More informationPions in the quark matter phase diagram
Pions in the quark matter phase diagram Daniel Zabłocki Instytut Fizyki Teoretycznej, Uniwersytet Wrocławski, Poland Institut für Physik, Universität Rostock, Germany Bogoliubov Laboratory of Theoretical
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 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 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 informationQCD phase diagram from the lattice at strong coupling
CERN-PH-TH-25-67 QCD phase diagram from the lattice at strong coupling Philippe de Forcrand Institute for Theoretical Physics, ETH Zürich, CH-893 Zürich, Switzerland and CERN, Physics Department, TH Unit,
More informationA comparison between compact and noncompact formulation of the three dimensional lattice QED
A comparison between compact and noncompact formulation of the three dimensional lattice QED Pietro Giudice giudice@cs.infn.it. niversità della Calabria & INN - Cosenza Swansea, 0/06/200 p.1/26 IN COLLABORATION
More informationNuclear Matter between Heaven and Earth: The QCD Phase Diagram
Antrittsvorlesung Frankfurt, October 2010 Nuclear Matter between Heaven and Earth: The QCD Phase Diagram Owe Philipsen Introduction to QCD and lattice simulations Phase diagram: the many faces of QCD Computational
More informationQuark Model of Hadrons
Quark Model of Hadrons mesons baryons symmetric antisymmetric mixed symmetry Quark Model of Hadrons 2 Why do quarks have color? ground state baryons orbital wave function = symmetic with L=0 SU(3) f x
More informationFERMION PAIRINGS IN B!
FERMION PAIRINGS IN B! Vivian de la Incera University of Texas at El Paso CSQCDIII Guaruja, December 11-15, 2012! OUTLINE! Fermion Pairings, B, & QCD Map Magnetoelectricity of the MCFL Phase Quarkyonic
More informationContents. 1.1 Prerequisites and textbooks Physical phenomena and theoretical tools The path integrals... 9
Preface v Chapter 1 Introduction 1 1.1 Prerequisites and textbooks......................... 1 1.2 Physical phenomena and theoretical tools................. 5 1.3 The path integrals..............................
More informationMesonic and nucleon fluctuation effects in nuclear medium
Mesonic and nucleon fluctuation effects in nuclear medium Research Center for Nuclear Physics Osaka University Workshop of Recent Developments in QCD and Quantum Field Theories National Taiwan University,
More informationLattice QCD and transport coefficients
International Nuclear Physics Conference, Adelaide, Australia, 13 Sep. 2016 Cluster of Excellence Institute for Nuclear Physics Helmholtz Institute Mainz Plan Strongly interacting matter at temperatures
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 informationThe QCD CEP in the 3 flavoured constituent quark model
The QCD CEP in the 3 flavoured constituent quark model Péter Kovács HAS-ELTE Statistical and Biological Physics Research Group Rab, aug. 3 - sept. 3, 27 Motivation for using effective models to describe
More informationThe Chiral Magnetic Effect: Measuring event-by-event P- and CP-violation with heavy-ion collisions Or from
The Chiral Magnetic Effect: Measuring event-by-event P- and CP-violation with heavy-ion collisions Or from To Topological charge flucutations, D. Leinweber Tracks in TPC of STAR And back! Harmen Warringa,
More informationThe Beam Energy Scan at RHIC
2013 ICNT Program @ FRIB, MSU July 31, 2013 The Beam Energy Scan at RHIC Jinfeng Liao Indiana University, Physics Dept. & CEEM RIKEN BNL Research Center 1 Outline Brief Intro: High Energy Heavy Ion Collisions
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 informationSuperconducting phases of quark matter
Superconducting phases of quark matter Igor A. Shovkovy Frankfurt Institute for Advanced Studies Johann W. Goethe-Universität Max-von-Laue-Str. 1 60438 Frankfurt am Main, Germany Outline I. Introduction
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 informationWith the FRG towards the QCD Phase diagram
With the FRG towards the QCD Phase diagram Bernd-Jochen Schaefer University of Graz, Austria RG Approach from Ultra Cold Atoms to the Hot QGP 22 nd Aug - 9 th Sept, 211 Helmholtz Alliance Extremes of Density
More informationThe phases of hot/dense/magnetized QCD from the lattice. Gergely Endrődi
The phases of hot/dense/magnetized QCD from the lattice Gergely Endrődi Goethe University of Frankfurt EMMI NQM Seminar GSI Darmstadt, 27. June 2018 QCD phase diagram 1 / 45 Outline relevance of background
More informationFrom confinement to new states of dense QCD matter
From confinement to new states of dense QCD matter From Quarks and Gluons to Hadrons and Nuclei, Erice, Sicily, 17 Sept2011 Kurt Langfeld School of Comp. and Mathematics and The HPCC, Univ. of Plymouth,
More informationHeavy quark free energies, screening and the renormalized Polyakov loop
Heavy quark free energies, screening and the renormalized Polyakov loop Olaf Kaczmarek Felix Zantow Universität Bielefeld October 6, 26 VI Workshop III, Rathen, October, 26 p./9 Charmonium suppression..75.5
More informationStatistical QCD with non-positive measure
Statistical QCD with non-positive measure Kim Splittorff with: Jac Verbaarschot James Osborne Gernot Akemann Niels Bohr Institute Statistical QCD with non-positive measure p.1/32 What QCD at non zero chemical
More informationLecture II. QCD and its basic symmetries. Renormalisation and the running coupling constant
Lecture II QCD and its basic symmetries Renormalisation and the running coupling constant Experimental evidence for QCD based on comparison with perturbative calculations The road to QCD: SU(3) quark model
More informationarxiv: v2 [hep-lat] 23 Dec 2008
arxiv:8.964v2 [hep-lat] 23 Dec 28, F. Farchioni, A. Ferling, G. Münster, J. Wuilloud University of Münster, Institute for Theoretical Physics Wilhelm-Klemm-Strasse 9, D-4849 Münster, Germany E-mail: k_demm@uni-muenster.de
More informationThe Fermion Bag Approach
The Fermion Bag Approach Anyi Li Duke University In collaboration with Shailesh Chandrasekharan 1 Motivation Monte Carlo simulation Sign problem Fermion sign problem Solutions to the sign problem Fermion
More informationFrom Quarks and Gluons to Hadrons: Functional RG studies of QCD at finite Temperature and chemical potential
From Quarks and Gluons to Hadrons: Functional RG studies of QCD at finite Temperature and chemical potential Jens Braun Theoretisch-Physikalisches Institut Friedrich-Schiller Universität Jena Quarks, Hadrons
More informationConstraints on the QCD phase diagram from imaginary chemical potential
SM+FT 211 Bari, September 211 Constraints on the QCD phase diagram from imaginary chemical potential Owe Philipsen Introduction: summary on QCD phase diagram Taking imaginary µ more seriously Triple, critical
More informationarxiv: v1 [hep-lat] 7 Oct 2007
Charm and bottom heavy baryon mass spectrum from lattice QCD with 2+1 flavors arxiv:0710.1422v1 [hep-lat] 7 Oct 2007 and Steven Gottlieb Department of Physics, Indiana University, Bloomington, Indiana
More informationAspects 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 informationIs the up-quark massless? Hartmut Wittig DESY
Is the up-quark massless? Hartmut Wittig DESY Wuppertal, 5 November 2001 Quark mass ratios in Chiral Perturbation Theory Leutwyler s ellipse: ( mu m d ) 2 + 1 Q 2 ( ms m d ) 2 = 1 25 m s m d 38 R 44 0
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 informationP.V.Buividovich, M.N.Chernodub,T.K. Kalaydzhyan, D.E. Kharzeev, E.V.Luschevskaya, O.V. Teryaev, M.I. Polikarpov
Strong magnetic fields in lattice gluodynamics P.V.Buividovich, M.N.Chernodub,T.K. Kalaydzhyan, D.E. Kharzeev, E.V.Luschevskaya, O.V. Teryaev, M.I. Polikarpov arxiv:1011.3001, arxiv:1011.3795, arxiv:1003.180,
More informationThe QCD phase diagram from the lattice
The QCD phase diagram from the lattice Sourendu Gupta ILGTI: TIFR CBM Meeting VECC Kolkata July 31, 2010 Zero baryon density Background Exact SU(2) flavour symmetry Exact SU(3) flavour symmetry Broken
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 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 information