Transport responses from rate of decay and scattering processes in the Nambu--Jona-Lasinio model

TL;DR

This paper investigates how elastic and inelastic scatterings affect transport properties of quarks in the Nambu--Jona-Lasinio model, revealing that inelastic processes dominate near the Mott transition, leading to nearly perfect fluid behavior.

Contribution

It provides a detailed analysis of elastic and inelastic scattering effects on transport coefficients within the NJL model, highlighting the role of the Mott transition in medium behavior.

Findings

Inelastic scatterings dominate near and above the Mott line.

Transport coefficients become very small near the Mott transition.

Medium behaves like a perfect fluid due to strong inelastic scatterings.

Abstract

We have calculated quark and anti-quark relaxation time by considering different possible elastic and inelastic scatterings in the medium. Comparative role of these elastic and inelastic scatterings on different transport coefficients are explored. The quark-meson effective interaction Lagrangian density in the framework of Nambu--Jona-Lasinio model is used for calculating both type of scatterings. Owing to a kinetic threshold, inelastic scatterings can only exist beyond the Mott line in temperature and chemical potential plane, whereas elastic scatterings occur in the entire plane. Interestingly, the strength of inelastic scatterings near and above Mott line becomes so strong that medium behaves like a perfect fluid, in that all transport coefficients become very small.