# From Non-interacting to Interacting Picture of Quark Gluon Plasma in presence of magnetic field and its fluid property

## TL;DR

This paper develops a simplified analytical model to understand quark-gluon plasma interactions under magnetic fields, constrained by lattice QCD data, and explores how magnetic fields and interactions influence transport coefficients.

## Contribution

It introduces a parametric model incorporating magnetic field effects into quark-gluon plasma interactions, providing a quick estimation tool for related phenomenological quantities.

## Key findings

- Magnetic field and interactions significantly reduce transport coefficients.
- The model offers a simple way to estimate effects of temperature and magnetic field on QGP.
- Methodology provides rough estimates despite not being highly robust.

## Abstract

We have attempted to build a parametric based simplified and analytical model to map the interaction of quarks and gluons in presence of magnetic field, which has been constrained by quark condensate and thermodynamical quantities like pressure, energy density etc., obtained from the calculation of lattice quantum chromodynamics. To fulfill that mapping, we have assumed a parametric temperature and magnetic field dependent degeneracy factor, average energy, momentum and velocity of quarks and gluons. Implementing this QCD interaction in calculation of transport coefficient at finite magnetic field, we have noticed that magnetic field and interaction both are two dominating sources, for which the values of transport coefficients can be reduced. Though the methodology is not so robust, but with the help of its simple parametric expressions, one can get a quick rough estimation of any phenomenological quantity, influenced by temperature and magnetic field dependent QCD interaction.