Symmetric and anti-symmetric Landau parameters and magnetic properties of dense quark matter

TL;DR

This paper computes Landau parameters for dense quark matter using HDL corrections to address divergences, and explores magnetic properties and potential instabilities in spin polarized quark matter.

Contribution

It introduces a method to calculate Landau parameters in dense quark matter with HDL corrections and analyzes magnetic properties and instabilities.

Findings

Landau parameters are computed with HDL corrections to remove divergences.

Magnetization and magnetic susceptibility of spin polarized quark matter are evaluated.

The study assesses the possibility of magnetic instability in dense quark matter.

Abstract

We calculate the dimensionless Fermi liquid parameters (FLPs), $F_{0,1}^{sym}$ and $F_{0,1}^{asym}$, for spin asymmetric dense quark matter. In general, the FLPs are infrared divergent due to the exchange of massless gluons. To remove such divergences, the Hard Density Loop (HDL) corrected gluon propagator is used. The FLPs so determined are then invoked to calculate magnetic properties such as magnetization $\langle M\rangle$ and magnetic susceptibility $\chi_M$ of spin polarized quark matter. Finally, we investigate the possibility of magnetic instability by studying the density dependence of $\langle M\rangle$ and $\chi_M$.