Two flavor chiral phase transition from nonperturbative flow equations

Details Two flavor chiral phase transition from nonperturbative flow equations Two flavor chiral phase transition from nonperturbative flow equations

1997-05-30

arxiv.org/abs/hep-ph/9705474v1

Phys.Rev. D59 (1999) 034010

Physics

High Energy Physics

High Energy Physics - Phenomenology

49 pages including 15 figures, LaTeX, uses epsf.sty and rotate.sty

Scientific paper

10.1103/PhysRevD.59.034010

We employ nonperturbative flow equations to compute the equation of state for two flavor QCD within an effective quark meson model. This yields the temperature and quark mass dependence of quantities like the chiral condensate or the pion mass. A precision estimate of the universal critical equation of state for the three-dimensional O(4) Heisenberg model is presented. We explicitly connect the O(4) universal behavior near the critical temperature and zero quark mass with the physics at zero temperature and a realistic pion mass. For realistic quark masses the pion correlation length near T_c turns out to be smaller than its zero temperature value.

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