General structure of a gauge boson propagator and pressure of deconfined QCD matter in a weakly magnetized medium

TL;DR

This paper derives the general form of gauge boson propagators in a hot magnetized medium and calculates the pressure of deconfined QCD matter under weak magnetic fields using HTL approximation.

Contribution

It provides a systematic construction of gauge boson self-energy and propagator structures in a magnetized medium and computes the QCD pressure in this context.

Findings

Derived the general structure of gauge boson self-energy in a magnetized medium.

Calculated the pressure of deconfined QCD matter in a weak magnetic field.

Provided insights into the effects of magnetic fields on QCD thermodynamics.

Abstract

We have systematically constructed the general structure of the gauge boson self-energy and the effective propagator in presence of a nontrivial background like hot magnetized material medium. Based on this as well as the general structure of fermion propagator in weakly magnetized medium we have calculated pressure of deconfined QCD matter within HTL approximation.