# Impact of different extended components of mean field models on transport coefficients of quark matter and their causal aspects

## TL;DR

This paper analyzes how various extensions of the NJL model, including vector interactions and Polyakov loop modifications, affect transport coefficients of quark matter and explores their causal properties.

## Contribution

It provides a comparative analysis of different mean field model extensions on transport coefficients and their causal behavior in quark matter.

## Key findings

- Extended models influence temperature dependence of transport coefficients.
- Causal bounds for shear relaxation time are established.
- Transport properties vary significantly with model extensions.

## Abstract

Role of different extensions of Nambu\textendash Jona-Lasinio (NJL) model like addition of vector interaction, Polyakov loop extended version (PNJL) and the entangled PNJL (EPNJL) models on transport coefficients like shear viscosity, bulk viscosity, electrical conductivity and thermal conductivity are critically analyzed. We have considered the standard expressions of transport coefficients, obtained in relaxation time approximation of kinetic theory. Influence of temperature dependent order parameters on temperature profile of transport coefficients are analyzed. Causal aspect of massless case to these different extended components of mean field models are also picturized, where an approximated lower and upper bound are drawn for shear relaxation time.