Chiral density waves in quark matter within the Nambu--Jona-Lasinio model in an external magnetic field

TL;DR

This paper investigates how external magnetic fields influence the formation of inhomogeneous chiral condensates in dense quark matter using the Nambu--Jona-Lasinio model, revealing magnetic field-induced phase transitions.

Contribution

It introduces a detailed analysis of chiral density wave formation in quark matter under magnetic fields within the NJL model, including phase diagram construction.

Findings

Magnetic fields promote inhomogeneous condensate formation at low temperatures.

The phase diagram shows magnetic field-induced phase transitions.

Spatially inhomogeneous condensates are favored by magnetic fields.

Abstract

A possibility of formation of static dual scalar and pseudoscalar density wave condensates in dense quark matter is considered for the Nambu--Jona-Lasinio model in an external magnetic field. Within a mean-field approximation, the effective potential of the theory is obtained and its minima are numerically studied; a phase diagram of the system is constructed. It is shown that the presence of a magnetic field favors the formation of spatially inhomogeneous condensate configurations at low temperatures and arbitrary non-zero values of the chemical potential.