The Magnetic Field Effect on Thermodynamics of Hot QCD Matter using Extensive and non-Extensive Statistics

TL;DR

This paper investigates how magnetic fields influence the thermodynamics of hot QCD matter using both extensive and non-extensive statistical frameworks, comparing results with lattice data and analyzing magnetic response.

Contribution

It provides a detailed comparison of extensive and non-extensive thermodynamics of QCD matter under magnetic fields, incorporating vacuum contributions and confronting results with lattice simulations.

Findings

Extensive thermodynamics aligns well with lattice results.

Non-extensive thermodynamics overestimates at high temperatures.

QCD matter exhibits paramagnetic behavior under magnetic fields.

Abstract

We study in detail the thermodynamics of the quantum chromodynamics (QCD) matter utilizing two different statistics, extensive and non-extensive. The thermodynamics such as (pressure, number density, energy density , entropy and magnetization) are determined from both statistics at zero and non-zero magnetic field, eB = 0; 0:2; 0:3GeV^2. The magnetic field effect appears by adding a vacuum contribution to the free energy along side the thermal contribution. The extensive thermodynamics can be emerged from the resonance hadron gas model which is incorporated in the present work. Accordingly, we repeat our calculations at zero and non-zero magnetic field for the non-extensive statistics. The theoretical results of thermodynamical quantities calculated from both statistics are confronted to the lattice results which show a reasonable agreement with the extensive thermodynamics, but overrated in non-extensive thermodynamics at high temperature only and higher entropic index. The response of the QCD matter due to the magnetic field is additionally examined, and it is concluded that QCD matter is considered as a paramagnetic matter.