# Effect of Quark Dimension Reduction on Goldstone Mode in Magnetic Field

## TL;DR

This paper studies how reducing quark dimensions affects meson properties in a strong magnetic field, revealing magnetic catalysis and a sudden Goldstone mode mass jump at the Mott transition.

## Contribution

It introduces the impact of quark dimension reduction on Goldstone modes and chiral symmetry in magnetic fields within the NJL model.

## Key findings

- Quark dimension reduction enhances magnetic catalysis.
- Goldstone mode mass jumps at the Mott transition.
- Chiral symmetry restoration is affected by magnetic field.

## Abstract

The meson static properties are investigated in Pauli-Villars regularized Nambu--Jona-Lasinio model in strong magnetic field. The quark dimension reduction leads to not only the magnetic catalysis effect on chiral symmetry restoration but also a sudden jump of the mass of the Goldstone mode at the Mott transition temperature.