The Chiral Fermion Meson Model at Finite Temperature

Abstract

We study the chiral fermion meson model which is the well known linear sigma model of Gell-Mann-and-Levy at finite temperature.A modified self-consistent resummation (MSCR) which resums higher order terms in the perturbative expansion is proposed. It is shown that with the MSCR the problem of tachyonic masses is solved, the renormalization of the gap equations is carried out and the Goldstone's theorem is verified. We also apply the method to investigate another known case at high temperature and compare with results found in the literature.

31 pages, 9 EPS figures. Final version with extended Concluding Remarks section, accepted for publication in Phys. Rev. D

References in corpus (4)

• Optimized Perturbation Theory at Finite Temperature
• The O(N) Model at Finite Temperature: Renormalization of the Gap Equations in Hartree and Large-N Approximation
• Linear sigma model and chiral symmetry at finite temperature
• Hot Nuclear Matter in the Quark Meson Coupling Model

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