# Waves in magnetized quark matter

## TL;DR

This paper investigates wave propagation in magnetized, cold quark-gluon plasma using linear wave equations derived from the Euler equation, analyzing stability and causality for various equations of state relevant to astrophysics and heavy ion collisions.

## Contribution

It introduces a detailed analysis of wave behavior in magnetized quark matter with different equations of state, including the MIT bag model and gluon-inclusive variants.

## Key findings

- Wave stability depends on magnetic field strength and EOS parameters.
- Causality conditions are satisfied for certain parameter ranges.
- Results are applicable to quark matter in neutron star cores and heavy ion collisions.

## Abstract

We study wave propagation in a non-relativistic cold quark-gluon plasma immersed in a constant magnetic field. Starting from the Euler equation we derive linear wave equations and investigate their stability and causality. We use a generic form for the equation of state, the EOS derived from the MIT bag model and also a variant of the this model which includes gluon degrees of freedom. The results of this analysis may be relevant for perturbations propagating through the quark matter phase in the core of compact stars and also for perturbations propagating in the low temperature quark-gluon plasma formed in low energy heavy ion collisions, to be carried out at FAIR and NICA.