Novel relaxation time approximation: a consistent calculation of transport coefficients with QCD-inspired relaxation times

TL;DR

This paper introduces a new relaxation time approximation framework to accurately compute transport coefficients like bulk and shear viscosity in QCD-inspired models, utilizing energy-dependent relaxation times and thermal masses fitted to lattice QCD data.

Contribution

It presents a novel formulation of the relaxation time approximation that simplifies calculations and ensures consistency when determining transport coefficients in QCD-inspired systems.

Findings

Consistent calculation of bulk and shear viscosities using the new method.

Use of energy-dependent relaxation times fitted to lattice QCD thermodynamics.

Simplified computational approach through convenient matching conditions.

Abstract

We use a novel formulation of the relaxation time approximation to consistently calculate the bulk and shear viscosity coefficients using QCD-inspired energy-dependent relaxation times and phenomenological thermal masses obtained from fits to lattice QCD thermodynamics. The matching conditions are conveniently chosen to simplify the computations.