Effects of chiral imbalance and magnetic field on pion superfluidity and color superconductivity

TL;DR

This paper investigates how chiral imbalance and magnetic fields influence pion superfluidity and color superconductivity using extended Nambu--Jona-Lasinio models, revealing catalysis, inverse catalysis, and oscillation effects.

Contribution

It introduces a comprehensive analysis of chiral imbalance and magnetic field effects on superfluidity and superconductivity within a unified NJL model framework.

Findings

Chiral imbalance causes catalysis in superfluidity.

Magnetic field induces inverse catalysis in superfluidity.

Magnetic field leads to de Haas–van Alphen oscillations in phase transitions.

Abstract

The effects of chiral imbalance and external magnetic field on pion superfluidity and color superconductivity are investigated in extended Nambu--Jona-Lasinio models. We take Schwinger approach to treat the interaction between charged pion condensate and magnetic field at finite isospin density and include simultaneously the chiral imbalance and magnetic field at finite baryon density. For the superfluidity, the chiral imbalance and magnetic field lead to catalysis and inverse catalysis effects, respectively. For the superconductivity, the chiral imbalance enhances the critical baryon density, and the magnetic field results in a de Haas--van Alphan oscillation on the phase transition line.