Polyakov loop modeling for hot QCD

Abstract

We review theoretical aspects of quantum chromodynamics (QCD) at finite temperature. The most important physical variable to characterize hot QCD is the Polyakov loop, which is an approximate order parameter for quark deconfinement in a hot gluonic medium. Additionally to its role as an order parameter, the Polyakov loop has rich physical contents in both perturbative and non-perturbative sectors. This review covers a wide range of subjects associated with the Polyakov loop from topological defects in hot QCD to model building with coupling to the Polyakov loop.

72 pages, 29 figures; more references added on request; published in Progress in Particle and Nuclear Physics

References in corpus (32)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• The Phase Structure of the Polyakov--Quark-Meson Model
• Search for the QCD Critical Point with Fluctuations of Conserved Quantities in Relativistic Heavy-Ion Collisions at RHIC : An Overview
• Probing freeze-out conditions in heavy ion collisions with moments of charge fluctuations
• The phase structure of the Polyakov--quark-meson model beyond mean field
• Inhomogeneous chiral condensates
• Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
• Renormalized Polyakov loops in many representations
• Improved Polyakov-loop potential for effective models from functional calculations
• Stochastic quantization at finite chemical potential
• Dual quark condensate and dressed Polyakov loops
• Production and Elliptic Flow of Dileptons and Photons in the semi-Quark Gluon Plasma
• Chiral and deconfinement transition from Dyson-Schwinger equations
• Linking confinement to spectral properties of the Dirac operator
• Polyakov loop extended NJL model with imaginary chemical potential
• Baryon number fluctuations at finite temperature and density
• Model study of the sign problem in the mean-field approximation
• Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order
• Equation of state of the SU($3$) Yang-Mills theory: a precise determination from a moving frame
• Evading the sign problem in the mean-field approximation through Lefschetz-thimble path integral
• Finite density phase transition of QCD with $N_f=4$ and $N_f=2$ using canonical ensemble method
• Z(3)-symmetric effective theory for SU(3) Yang-Mills theory at high temperature
• An SU(2) KvBLL caloron gas model and confinement
• Spontaneous CP-violation in the strong interaction at theta = pi
• Heavy dense QCD and nuclear matter from an effective lattice theory
• Equation of state of a relativistic theory from a moving frame
• Polyakov loop fluctuations and deconfinement in the limit of heavy quarks
• Color neutrality effects in the phase diagram of the PNJL model
• Functional renormalization group approach to neutron matter
• Phases of circle-compactified QCD with adjoint fermions at finite density

Cited by in corpus (72)

• The nonperturbative functional renormalization group and its applications
• The QCD phase structure at finite temperature and density
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Baryon number fluctuations in the QCD phase diagram from Dyson-Schwinger equations
• Quantum simulation of the universal features of the Polyakov loop
• Testing the dark SU(N) Yang-Mills theory Confined Landscape: From the Lattice to Gravitational Waves
• Direct real photons in relativistic heavy ion collisions
• Observational prospects for gravitational waves from hidden or dark chiral phase transitions
• Non-perturbative finite-temperature Yang-Mills theory
• Hybrid and quark star matter based on a non-perturbative equation of state
• Dark Confinement and Chiral Phase Transitions: Gravitational Waves vs Matter Representations
• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• Supercool exit: Gravitational waves from QCD-triggered conformal symmetry breaking
• Search for the QCD Critical Point in High Energy Nuclear Collisions
• A perturbative study of the QCD phase diagram for heavy quarks at nonzero chemical potential: two-loop corrections
• Dualities in dense quark matter with isospin, chiral and chiral isospin imbalance in the framework of the large-N${}_c$ limit of the NJL${}_4$ model
• Gravitational Waves and Primordial Black Hole Productions from Gluodynamics by Holography
• Perturbative confinement in thermal Yang-Mills theories induced by imaginary angular velocity
• Spectral and Transport Properties of Quark-Gluon Plasma in a Nonperturbative Approach
• Strangeness Neutrality and QCD Thermodynamics
• Dense two-color QCD from Dyson-Schwinger equations
• Few vs many-body physics of an impurity immersed in a superfluid of spin 1/2 attractive fermions
• Strangeness neutrality and baryon-strangeness correlations
• Baryon number fluctuations in the 2+1 flavor low energy effective model
• Thermodynamics and phase diagrams of Polyakov-loop extended chiral models
• Quarks and light (pseudo-)scalar mesons at finite chemical potential
• Gravitational Waves from dark composite dynamics
• Quark and Polyakov-loop correlations in effective models at zero and non-vanishing density
• Finite-temperature phase transitions of third and higher order in gauge theories at large $N$
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Quarkyonic matter state of neutron stars
• Effects of finite volume and magnetic fields on thermodynamic properties of quark matter and fluctuations of conserved charges
• The fate of the critical endpoint at large $N_c$
• Fluctuations of order parameter in an $SU(N_c)$ effective model
• Deconfinement and chiral phase transitions in quark matter with chiral imbalance
• Inhomogeneous confinement and chiral symmetry breaking induced by imaginary angular velocity
• Confinement in non-Abelian lattice gauge theory via persistent homology
• Inhibition of splitting of the chiral and deconfinement transition due to rotation in QCD: the phase diagram of linear sigma model coupled to Polyakov loop
• Conundrum for the free energy of a holonomous gluonic plasma at cubic order
• Reentrant pion superfluidity and cosmic trajectories within PNJL model
• Thermal effects on sound velocity peak and conformality in isospin QCD
• Transition rate and gravitational wave spectrum from first-order QCD phase transitions
• Scale and confinement phase transitions in scale invariant $SU(N)$ scalar gauge theory
• Image-processing the topological charge density in the CP(N-1) model
• Nucleon Properties in the Polyakov Quark Meson Model
• Imaginary Rotating Gluonic Matter at Strong Coupling
• Polyakov loop fluctuations in the presence of external fields
• Deconfinement in the presence of a strong magnetic field
• First-order QCD transition in a primordial magnetic field
• Anatomy of the dense QCD matter from canonical sectors
• Roberge-Weiss periodicity, canonical sector and modified Polyakov-loop
• Chiral criticality and glue dynamics
• Strongly interacting matter in extreme magnetic fields
• Bubble nucleation in the two-flavor quark-meson model
• QCD phase diagram from the gluon propagator at finite temperature and density
• A window on infrared QCD with small expansion parameters
• A Scaling Relation, $Z_m$-type Deconfinement Phases and Imaginary Chemical Potentials in Finite Temperature Large-$N$ Gauge Theories
• Dual meson condensates in the Polyakov-loop extended linear sigma model
• Bubble dynamics in the Polyakov quark-meson model
• Application of the path optimization method to a discrete spin system
• Effective model for pure Yang-Mills theory on ${\mathbb{T}}^2\times {\mathbb{R}}^2$ with Polyakov loops
• Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops
• Massive Gauge Theory with Quasigluon for Hot $SU(N)$: Phase Transition and Thermodynamics
• Thermodynamic Potential of the Polyakov Loop in SU(3) Quenched Lattice QCD
• The nucleon properties in finite temperature and density with Gaussian fluctuations
• Topological data analysis of the deconfinement transition in SU(3) lattice gauge theory
• Novel first-order phase transition and critical points in SU(3) Yang-Mills theory with spatial compactification
• Late-Time Cosmic Acceleration from QCD Confinement Dynamics
• Chiral Symmetry Breaking and Confinement from an Interacting Ensemble of Instanton-dyons in Two-flavor Massless QCD
• Thermal quarks and Polyakov loops in two-color dense QCD
• Finite temperature QCD crossover at non-zero chemical potential: A Dyson-Schwinger approach
• Chromomagnetic Condensate in Finite-Temperature SU(2) Yang-Mills Theory under Imaginary Rotation