Temperature Dependence of the Chiral Condensate from an Interacting Pion Gas

Details Temperature Dependence of the Chiral Condensate from an Interacting Pion Gas Temperature Dependence of the Chiral Condensate from an Interacting Pion Gas

1994-06-16

arxiv.org/abs/nucl-th/9406018v1

Phys.Lett.B336:290-294,1994

Physics

Nuclear Physics

Nuclear Theory

8 pages LATEX plus 4 figures available from the authors, preprint KFA-IKP(TH)-1994-22

Scientific paper

10.1016/0370-2693(94)90534-7

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 $\ave{\bar qq}_T/\ave{\bar qq}_0$ 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 $T_c$, however, there are marked differences due to non-perturbative nature of our approach.

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