Auxiliary Field Meson Model at Finite Temperature and Density

TL;DR

This paper develops a nonlinear sigma-omega model with auxiliary meson fields at finite temperature and density, linking effective quark-meson couplings to meson masses, and explores their impact on the nuclear matter equation of state.

Contribution

It introduces a novel approach to modeling nuclear matter using auxiliary meson fields derived from many quark interactions at finite temperature and density.

Findings

Effective omega-meson mass decreases with partial chiral restoration.

The model predicts a softening of the nuclear matter equation of state.

Effective couplings are strongly related to meson masses.

Abstract

Starting from many quark interactions, we construct a nonlinear sigma-omega model at finite temperature and density. The mesons are introduced as auxiliary fields. Effective quark-meson couplings are strongly related to effective meson masses, since they are derived simultaneously from the original many quark interactions. In this model, even if the effective omega-meson mass decreases due to the partial chiral restoration, the equation of state (EOS) of nuclear matter can become soft.