Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)

Details Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3) Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)

2010-03-09

arxiv.org/abs/1003.1960v2

Eur.Phys.J.C68:165-181,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 9 figures. For clarification one paragraph and two references added in the introduction and two sentences at the end

Scientific paper

10.1140/epjc/s10052-010-1343-1

We study a gauge invariant order parameter for deconfinement and the chiral condensate in SU(2) and SU(3) Yang-Mills theory in the vicinity of the deconfinement phase transition using the Landau gauge quark and gluon propagators. We determine the gluon propagator from lattice calculations and the quark propagator from its Dyson-Schwinger equation, using the gluon propagator as input. The critical temperature and a deconfinement order parameter are extracted from the gluon propagator and from the dependency of the quark propagator on the temporal boundary conditions. The chiral transition is determined using the quark condensate as order parameter. We investigate whether and how a difference in the chiral and deconfinement transition between SU(2) and SU(3) is manifest.

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