# From Non-interacting to Interacting Picture of Thermodynamics and Transport Coefficients for Quark Gluon Plasma

## TL;DR

This paper models the thermodynamics and transport properties of quark-gluon plasma by incorporating interactions, matching lattice QCD data, and analyzing how these interactions influence fluidity and conductivity.

## Contribution

It introduces a simplified interaction model for QGP that aligns with lattice QCD entropy data and explores its impact on shear viscosity and electrical conductivity.

## Key findings

- Interaction reduces entropy density compared to non-interacting models.
- Matching lattice data by adjusting degeneracy, interaction-fugacity, and thermal width.
- Interaction effects are significant for QGP's near-perfect fluid behavior.

## Abstract

We have attempted to build first some simplified model to map the interaction of quarks and gluons, which can be contained by their thermodynamical quantity like entropy density, obtained from calculation of lattice quantum chromo dynamics (LQCD). With respect to entropy density of the standard non-interacting massless quark gluon plasma (QGP), its interacting values from LQCD simulation are reduced as we go from higher to lower temperature through the cross-over of quark-hadron phase transition. By parameterizing increasing degeneracy factor or increasing interaction-fugacity or decreasing thermal width of quarks and gluons with temperature, we have matched LQCD data.Using that interaction picture, shear viscosity and electrical conductivity are calculated. For getting nearly perfect fluid nature of QGP, interaction might have some role when we consider temperature dependent thermal width.