Chiral and deconfinement transition from Dyson-Schwinger equations

Journal Article · Thu Oct 01 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.074029· OSTI ID:21325244

Fischer, Christian S ^[1]; Mueller, Jens A ^[1]

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1. Institut fuer Kernphysik, Technische Universitaet Darmstadt, Schlossgartenstrasse 9, D-64289 Darmstadt (Germany)

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.

• OSTI ID: 21325244
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
BOUNDARY CONDITIONS
CHIRALITY
COMPARATIVE EVALUATIONS
CONDENSATES
EQUATIONS
GAUGE INVARIANCE
MASS
ORDER PARAMETERS
QUANTUM CHROMODYNAMICS
QUARK CONDENSATION
QUARKS
TEMPERATURE DEPENDENCE
TRANSITION TEMPERATURE
U-1 GROUPS