Fermi-liquid theory of imbalanced quark matter

TL;DR

This paper develops a Fermi-liquid theoretical framework for imbalanced quark matter, calculating thermodynamic properties and effective mass in the large flavor limit, extending relativistic Landau theory.

Contribution

It introduces a generalized relativistic Landau effective-mass relation for imbalanced quark matter and applies it to thermodynamic calculations in the large-$N_F$ limit.

Findings

Derived temperature dependence of thermodynamic potential

Calculated specific heat and effective quark mass

Extended Landau effective-mass relation to imbalanced quark matter

Abstract

The temperature dependence of the thermodynamic potential of quantum chromodynamics (QCD), the specific heat, and the quark effective mass are calculated for imbalanced quark matter in the limit of a large number of quark flavors (large-$N_F$), which corresponds to the random phase approximation. Also a generalization of the relativistic Landau effective-mass relation in the imbalanced case is given, which is then applied to this thermodynamic potential.