Chiral fermion meson model at finite temperature - art. no. 056011

We study the chiral fermion meson model which is the well-known linear sigm a model of Gell-Mann and Levy at finite temperature. A modified self-consis tent resummation (MSCR) which resume higher order terms in the perturbative expansion is proposed. It is shown that with the MSCR the problem of tachy onic masses is solved, the renormalization of the gap equations is carried out, and Goldstone's theorem is verified. We also apply the method to inves tigate another known case at high temperature and compare with results foun d in the literature.