Magnetic Catalysis in the Higher-Order Quark Sigma Model

TL;DR

This paper investigates how higher-order mesonic interactions influence magnetic catalysis and chiral symmetry breaking in the quark sigma model, revealing that these interactions significantly enhance the effect under external magnetic fields.

Contribution

It introduces higher-order mesonic potentials into the sigma model and analyzes their impact on magnetic catalysis, providing new insights into chiral symmetry breaking mechanisms.

Findings

Higher-order mesonic interactions enhance magnetic catalysis.

Chiral symmetry breaking increases with magnetic field strength.

Higher-order terms are crucial for accurate modeling of magnetic effects.

Abstract

The effect of the higher-order mesonic interactions is investigated on the chiral symmetry breaking in the presence of an external magnetic field. The effective of higher-order mesonic potential is employed and is numerically solved in the mean-field approximation. The chiral symmetry breaking increases with increasing magnetic field. Two sets of free parameterization are investigated on the magnetic catalysis. A comparison is discussed with the original sigma model and other studies. The obtained results are included that the higher-order mesonic interactions play an important role in the magnetic catalysis.