Inverse magnetic catalysis and size-dependent effects on the chiral symmetry restoration

TL;DR

This study explores how finite size, temperature, and magnetic fields influence chiral symmetry restoration in quark matter using the NJL model, revealing significant effects from boundary conditions and inverse magnetic catalysis.

Contribution

It introduces a combined analysis of finite-size, thermal, and magnetic effects on chiral phase transitions within the NJL model, incorporating a magnetized coupling constant to account for inverse magnetic catalysis.

Findings

Observables are highly sensitive to size, temperature, magnetic field, and boundary conditions.

Inverse magnetic catalysis significantly affects the chiral phase transition.

Boundary conditions alter the impact of external variables on quark matter properties.

Abstract

We investigate the combined finite-size and thermo-magnetic effects on the properties of the quark matter, in the context of the two-flavored Nambu--Jona-Lasinio model. In particular, by using the mean-field approximation and the Schwinger proper time method in a toroidal topology with periodic or antiperiodic conditions, we evaluate the chiral phase transition, the constituent quark mass and the thermal and spatial susceptibilities under the change of the size, temperature and strength of external magnetic field. To take into account the inverse magnetic catalysis phenomenon, we make use of a recently proposed magnetized coupling constant. The findings suggest that the observables are strongly affected by the variation of the variables and also by the periodicity of the boundary conditions, with the final outcomes depending on the balance of these competing phenomena.