On thermal phase structure of deformed Gross-Neveu model

TL;DR

This paper explores the phase structure of a deformed 2D Gross-Neveu model, revealing multiple chiral symmetry breaking and restoration phases influenced by temperature and q-deformation effects.

Contribution

It introduces a novel deformation of the Gross-Neveu model using q-deformed Pauli matrices to study its phase transitions and effective potential.

Findings

Multiple regions of chiral symmetry breaking and restoration with increasing temperature

Deformation affects the phase structure and effective potential of the model

Provides insights into q-deformed field theories and their physical implications

Abstract

We illustrate the phase structure of a deformed two-dimensional Gross-Neveu model which is defined by undeformed field contents plus deformed Pauli matrices. This deformation is based on two motives to find a more general polymer model and to estimate how $q$-deformed field theory affects on its effective potential. There found some regions where chiral symmetry breaking and restoration take place repeatedly as temperature increasing.