Hybrid chiral condensate in the external magnetic field

TL;DR

This paper investigates the phase diagram of the Nambu-Jona-Lasinio model under magnetic fields, revealing a novel inhomogeneous chiral condensate combining features of kink crystals and density waves, with phase transitions between these phases.

Contribution

It introduces a new type of inhomogeneous chiral condensate in magnetic fields, combining characteristics of kink crystals and density waves, and maps phase transitions between these phases.

Findings

Discovery of a new inhomogeneous chiral condensate in magnetic fields.

Identification of first-order phase transitions between different inhomogeneous phases.

Characterization of the condensate as a hybrid of kink crystal and dual chiral density wave.

Abstract

We study the phase diagram of the Nambu-Jona-Lasinio model in the external magnetic field within the mean-field approximation, taking into account the inhomogeneous chiral condensate. It is shown that there appears a new type of the chiral condensate, endowed with two features of real kink crystal and dual chiral density wave, in the magnetic field. We also show that there are first order phase transitions between different inhomogeneous phases in the presence of magnetic field.