Two flavor chiral phase transition from nonperturbative flow equations

Abstract

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.

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

References in corpus (7)

• Exact evolution equation for the effective potential
• Derivative expansion of the renormalization group in O(N) scalar field theory
• The equation of state for two flavor QCD at N_t=6
• Thermodynamics of lattice QCD with two light quark flavours on a 16^3 x 8 lattice II
• Non-Perturbative Renormalization Group Analysis of the Chiral Critical Behaviors in QED
• Finite-Temperature QCD on the Lattice
• Finite-Temperature Phase Structure of Lattice QCD with the Wilson Quark Action for Two and Four Flavors

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