# Dynamically generated magnetic moment in the Wigner-function formalism

## TL;DR

This paper investigates how quark mass and magnetic moment are dynamically generated in nonequilibrium quark matter using the Wigner-function formalism, highlighting the quantum origin of magnetic moments induced by magnetic fields.

## Contribution

It derives and solves transport equations for the quark Wigner function, revealing the quantum nature of magnetic moment generation in a magnetized quark model.

## Key findings

- Quark mass is generated at the classical level.
- Quark magnetic moment arises purely from quantum effects.
- Magnetic field influences quark spin interactions.

## Abstract

We study how the mass and magnetic moment of the quarks are dynamically generated in nonequilibrium quark matter. We derive the equal-time transport and constraint equations for the quark Wigner function in a magnetized quark model and solve them in the semi-classical expansion. The quark mass and magnetic moment are self-consistently coupled to the Wigner function and controlled by the kinetic equations. While the quark mass is dynamically generated at the classical level, the quark magnetic moment is a pure quantum effect, induced by the quark spin interaction with the external magnetic field.