Finite size effect on Dissociation and Diffusion of chiral partners in Nambu-Jona-Lasinio model

TL;DR

This paper investigates how finite size effects influence the spectral structures, dissociation, diffusion, and conduction properties of chiral partners like pion and sigma mesons within the Nambu-Jona-Lasinio model, revealing shifts to lower temperatures and reduced transport coefficients.

Contribution

It introduces finite size effects into the NJL model to analyze their impact on the spectral and transport properties of chiral partners, a novel approach in this context.

Findings

Finite size shifts the merging temperature of chiral partners to lower values.

Finite size reduces diffusion coefficients and conductivities of chiral mesons.

Masses and widths of mesons are affected by finite size effects.

Abstract

Along with masses of pion and sigma meson modes, their dissociation into quark medium provide a detail spectral structures of the chiral partners. Present article has studied a finite size effect on that detail structure of chiral partners by using the framework of Nambu-Jona-Lasinio model. Through this dissociation mechanism, their diffusions and conductions are also studied. The masses, widths, diffusion coefficients, conductivities of chiral partners are merged at different temperatures in restore phase of chiral symmetry, but merging points of all are shifted in lower temperature, when one introduce finite size effect into the picture. The strengths of diffusions and conductions are also reduced due to finite size consideration.