Anisotropic pressure and quark number susceptibility of strongly magnetized QCD medium

TL;DR

This paper investigates how strong magnetic fields induce anisotropy in the pressure and quark number susceptibility of quark-gluon plasma, providing detailed calculations within the hard thermal loop approximation.

Contribution

It presents the first calculation of anisotropic pressure and quark number susceptibility in QCD under strong magnetic fields at one-loop order.

Findings

Pressure becomes anisotropic with different longitudinal and transverse components.

Quark number susceptibility also exhibits anisotropy under strong magnetic fields.

Results enhance understanding of QCD matter in extreme magnetic environments.

Abstract

In this work, we compute the hard thermal loop pressure of quark-gluon plasma within strong magnetic field approximation at one-loop order. Magnetic field breaks the rotational symmetry of the system. As a result, the pressure of QGP becomes anisotropic and one finds two different pressures along the longitudinal (along the magnetic field direction) and transverse direction. Similarly, the second-order quark number susceptibility, which represents the fluctuation of the net quark number density, also becomes anisotropic. We compute the second order QNS of deconfined QCD matter in strong field approximation considering same chemical potential for two quark flavors.