Polyakov loop and QCD thermodynamics from the gluon and ghost propagators

Abstract

We investigate quark deconfinement by calculating the effective potential of the Polyakov loop using the non-perturbative propagators in the Landau gauge measured in the finite-temperature lattice simulation. With the leading term in the 2-particle-irreducible formalism the resultant effective potential exhibits a first-order phase transitions for the pure SU(3) Yang-Mills theory at the critical temperature consistent with the empirical value. We also estimate the thermodynamic quantities to confirm qualitative agreement with the lattice data near the critical temperature. We then apply our effective potential to the chiral model study and calculate the order parameters and the thermodynamic quantities. Unlike the case in the pure Yang-Mills theory the thermodynamic quantities are sensitive to the temperature dependence of the non-perturbative propagators, while the behavior of the order parameters is less sensitive, which implies the importance of the precise determination of the temperature-dependent propagators.

6 pages, 4 figures; major update with new calculations and all figures improved significantly

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Cited by in corpus (34)

• The QCD phase structure at finite temperature and density
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Confinement from Correlation Functions
• Polyakov loop modeling for hot QCD
• Thermodynamics of QCD at vanishing density
• Polyakov loop potential at finite density
• An exact nilpotent non-perturbative BRST symmetry for the Gribov-Zwanziger action in the linear covariant gauge
• Deconfinement transition in SU(N) theories from perturbation theory
• Non-perturbative finite-temperature Yang-Mills theory
• A local and BRST-invariant Yang-Mills theory within the Gribov horizon
• High Precision Statistical Landau Gauge Lattice Gluon Propagator Computation vs. the Gribov-Zwanziger approach
• Deconfinement transition in SU(2) Yang-Mills theory: A two-loop study
• Two-loop study of the deconfinement transition in Yang-Mills theories: SU(3) and beyond
• Stabilizing perturbative Yang-Mills thermodynamics with Gribov quantization
• More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
• The phase structure of QCD for heavy quarks
• Phase diagrams in nonlocal PNJL models constrained by Lattice QCD results
• Yang-Mills correlators across the deconfinement phase transition
• Semiclassical analysis of the phases of 4d SU(2) Higgs gauge systems with cutoff at the Gribov horizon
• Phase diagram and nucleation in the Polyakov-loop-extended Quark-Meson truncation of QCD with the unquenched Polyakov-loop potential
• Gribov horizon and non-perturbative BRST symmetry in the maximal Abelian gauge
• The (IR-)relevance of the Gribov ambiguity in SU(2) x U(1) gauge theories with fundamental Higgs matter
• Supporting the search for the CEP location with nonlocal PNJL models constrained by Lattice QCD
• The BRST-invariant vacuum state of the Gribov-Zwanziger theory
• Accessing the topological susceptibility via the Gribov horizon
• Meson properties and phase diagrams in a SU(3) nlPNJL model with lQCD-inspired form factors
• Fluctuations of order parameter in an $SU(N_c)$ effective model
• Resummed Gluon Propagator and Debye Screening Effect in a Holonomous Plasma
• Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
• Thermal effects on sound velocity peak and conformality in isospin QCD
• Deconfinement in the presence of a strong magnetic field
• Confinement interpretation in a Yang-Mills + Higgs theory when considering Gribov's ambiguity
• Thermal quarks and Polyakov loops in two-color dense QCD
• Aspects of the Gribov problem in Euclidean Yang-Mills theories