Quark condensate and magnetic moment in a strong magnetic field

TL;DR

This paper investigates how strong magnetic fields influence quark and nucleon properties, revealing proportional relationships and field-dependent increases in magnetic moments and susceptibility using Dyson-Schwinger equations and quark models.

Contribution

It provides a detailed analysis of quark and nucleon magnetic properties under strong magnetic fields using Dyson-Schwinger equations and constituent quark models, highlighting their field dependence.

Findings

Quark spin polarizations are approximately proportional to magnetic field strength.

Magnetic moments of nucleons increase with magnetic field.

Magnetic susceptibility of nucleons also increases with magnetic field.

Abstract

This paper studies the quark condensate, magnetic moment, magnetic polarization, and magnetic susceptibility in a strong external magnetic field by employing the Dyson-Schwinger equations (DSE). The results show that these physical quantities as functions of the magnetic field. We note that the quark's spin polarizations are approximately proportional to the magnetic field magnitude. For comparison, we investigate the magnetic moments and susceptibility of the nucleon in the constituent quark model framework and demonstrate that both these quantities increase as the magnetic field rises.