Speed of sound and isothermal compressibility in a magnetized quark matter with anomalous magnetic moment of quarks

TL;DR

This study examines how magnetic fields and anomalous magnetic moments affect the speed of sound and compressibility in quark matter, revealing anisotropic behavior and temperature-dependent trends using the PNJL model.

Contribution

It introduces the effects of anomalous magnetic moments on anisotropic sound speed and compressibility in magnetized quark matter within the PNJL framework.

Findings

Speed of sound becomes anisotropic under magnetic fields.

Perpendicular compressibility exceeds parallel when AMM is included.

Both compressibility components decrease with temperature.

Abstract

We study the characteristics of quark matter under the influence of a background magnetic field with anomalous magnetic moment (AMM) of quarks at finite temperature and quark chemical potential in the framework of Polyakov loop extended Nambu Jona-Lasinio (PNJL) model. In presence of a magnetic field, the speed of sound and isothermal compressibility become anisotropic with respect to the direction of the background magnetic field, splitting into parallel and perpendicular directions with respect to the magnetic field. Though the qualitative nature of parallel and perpendicular components of squared speed of sound appear similar, they differ in magnitude at lower values of temperature. The parallel and perpendicular components of isothermal compressibility decrease with increasing temperature, indicating a trend towards increased incompressible strongly interacting matter. On inclusion of the AMM of quarks, the perpendicular component of isothermal compressibility becomes greater than the parallel component. Additionally, we investigate the quark number susceptibility normalized by its value at zero magnetic field, which may indicate the presence of magnetic fields in the system.