Chiral and deconfinement transition from Dyson-Schwinger equations

Details Chiral and deconfinement transition from Dyson-Schwinger equations Chiral and deconfinement transition from Dyson-Schwinger equations

2009-07-31

arxiv.org/abs/0908.0007v2

Phys.Rev.D80:074029,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 7 figures; v2: minor corrections and clarifications, version accepted by PRD

Scientific paper

10.1103/PhysRevD.80.074029

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 transition. 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 with the dressed Polyakov loop. As a result we find only slightly different transition temperatures for the chiral and the deconfinement transition at finite quark masses; in the chiral limit both transitions coincide.

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