Abstract

Considering the strong field approximation we compute the hard thermal loop pressure at finite temperature and chemical potential of hot and dense deconfined QCD matter in lowest Landau level in one-loop order. We consider the anisotropic pressure in the presence of the strong magnetic field i.e., longitudinal and transverse pressure along parallel and perpendicular to the magnetic field direction. As a first effort, we compute and discuss the anisotropic quark number susceptibility of deconfined QCD matter in lowest Landau level. The longitudinal quark number susceptibility is found to increase with the temperature whereas the transverse one decreases with the temperature. We also compute the quark number susceptibility in the weak field approximation. We find that the thermomagnetic correction to the quark number susceptibility is very marginal in the weak field approximation.

Highlights

  • Fluctuations of the conserved quantum numbers like the baryon number, electric charge and strangeness number have been proposed as the probe of a hot and dense matter created in high energy heavy-ion collisions

  • We consider a hot and dense deconfined QCD matter in the presence of the background strong and weak magnetic field within HTL approximation

  • In the strong field approximation we assume quarks are in the lowest Landau level

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Summary

INTRODUCTION

Fluctuations of the conserved quantum numbers like the baryon number, electric charge and strangeness number have been proposed as the probe of a hot and dense matter created in high energy heavy-ion collisions. [18] the second-order quark number susceptibility (QNS), considering the finite strange-quark mass, was calculated. Potential in the presence of a magnetic field, calculate the second-order QNS of deconfined QCD matter in these two scale hierarchies. We consider two different cases with strong and weak magnetic field in this article

STRONG MAGNETIC FIELD
One-loop quark free energy in the presence of a strongly magnetized medium
Z d3p ð2πÞ3
Gauge boson free energy in a strongly magnetized medium
QCD coupling constant
Longitudinal and transverse pressure and corresponding susceptibilities
NcNf f qf B π2
WEAK MAGNETIC FIELD
CONCLUSION
Calculation of the form factors a and d
Calculation of quark form factor b and c
Z c1c2 P2k
Z p63 P1k2
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