Meson mass spectrum at finite temperature and density in the strong coupling limit of lattice QCD for color SU(3)

TL;DR

This paper analytically studies how meson masses in lattice QCD vary with temperature and density, revealing they decrease rapidly near critical points, which enhances understanding of QCD phase transitions.

Contribution

It provides an analytical derivation of meson mass dependence on temperature and chemical potential in the strong coupling limit of lattice QCD for SU(3).

Findings

Meson masses decrease rapidly near critical temperature and chemical potential.

Analytical expressions for meson masses as functions of temperature and density.

Supports understanding of meson behavior during QCD phase transitions.

Abstract

We investigate the meson mass spectrum in the strong coupling limit of lattice QCD with one species of staggered fermion for the SU(N_c) color gauge group, including N_c=3. We analytically derive meson masses as functions of temperature and chemical potential via chiral condensates. We show that meson masses quickly decrease to zero when the chemical potential or the temperature approaches to the critical value.