Finite density effects on chiral symmetry breaking in a magnetic field in 2+1 dimensions from holography

TL;DR

This paper investigates how finite density and magnetic fields influence chiral symmetry breaking in 2+1 dimensions using holographic models, revealing inverse magnetic catalysis and the combined effects on the chiral condensate.

Contribution

It introduces an improved holographic softwall model to study finite density and magnetic field effects on chiral symmetry breaking in 2+1 dimensions, highlighting inverse magnetic catalysis.

Findings

Chiral condensate decreases with increasing density.

Magnetic field and chemical potential effects sum to further reduce the condensate.

Inverse magnetic catalysis observed at finite density.

Abstract

In this work we study finite density effects in spontaneous chiral symmetry breaking as well as chiral phase transition under the influence of a background magnetic field in $ 2+1 $ dimensions. For this purpose, we use an improved holographic softwall model based on an interpolated dilaton profile. We find inverse magnetic catalysis at finite density. We observe that the chiral condensate decreases as the density increases, and the two effects (addition of magnetic field and chemical potential) sum up decreasing even more the chiral condensate.