Temperature Dependence of the Chiral Condensate from an Interacting Pion Gas

Abstract

By exploiting the fact that the chiral condensate is related to the derivative of the free-energy density with respect to the bare quark mass we calculate the temperature dependence of the condensate ratio qqT/ qq0 from an iteracting pion gas. When using the Weinberg Lagrangian at the Hartree level we find a depression of the condensate with temperature. For T < 100 MeV the results are in good agreement with chiral perturbation theory in the three loop approximation. Near Tc, however, there are marked differences due to non-perturbative nature of our approach.

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