Chiral and deconfinement transition from Dyson-Schwinger equations

2009/08/31 by Christian S. Fischer, Jens A. Mueller · 5 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.80.074029

published as Phys.Rev.D80:074029,2009 · 15 pages, 7 figures; v2: minor corrections and clarifications, version accepted by PRD

openalex publication_date 2009/10/23 · arxiv created 2009/10/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the quark condensate and the dressed Polyakov loop from the finite temperature Landau gauge quark propagator evaluated with U(1)-valued boundary conditions in an approximation to quenched QCD. These gauge invariant quantities allow for an investigation of the chiral and deconfinement transitions. We compare results from Dyson-Schwinger equations on a lattice with infinite volume continuum results and study the temperature and quark mass dependence of both quantities. In particular we investigate the chiral condensate and the dressed Polyakov loop in the chiral limit. We also consider an alternative order parameter for the deconfinement transition, the dual scalar quark dressing, and compare it with the dressed Polyakov loop. As a result we find only slightly different transition temperatures for the chiral and the deconfinement transitions at finite quark masses; in the chiral limit both transitions coincide.

Citations

• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory. II.
• ηandη′mesons in the Dyson-Schwinger approach at finite temperature

Cited by

• Nonlocal Polyakov–Nambu–Jona-Lasinio model and imaginary chemical potential
• Rho-meson, Bethe-Salpeter equation, and the far infrared
• Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
• Quantum fields in the non-perturbative regime - Yang-Mills theory and\n gravity
• Quark spectral density and strongly-coupled quark-gluon plasma

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• QCD at finite temperature and chemical potential from Dyson-Schwinger equations