On the Renormalization of a Bosonized Version of the Chiral Fermion-Meson Model at Finite Temperature

TL;DR

This paper investigates the renormalization of a bosonized chiral fermion-meson model at finite temperature using Feynman's functional approach, showing that renormalization conditions remain consistent with zero temperature.

Contribution

It demonstrates the renormalizability of the linear chiral sigma model at finite temperature through an alternative functional method.

Findings

Renormalization conditions are identical at finite and zero temperature.

The approach confirms the model's renormalizability at finite temperature.

Feynman's functional formulation effectively analyzes finite temperature field theories.

Abstract

Feynman's functional formulation of statistical mechanics is used to study the renormalizability of the well known Linear Chiral Sigma Model in the presence of fermionic fields at finite temperature in an alternative way. It is shown that the renormalization conditions coincide with those of the zero temperature model.