Phase Transitions in Models with Discrete Symmetry

TL;DR

This paper studies phase transitions in models with discrete symmetry involving a massless fermion and a self-interacting scalar field, analyzing how the coupling constants influence the chiral condensates in two and four dimensions.

Contribution

It introduces a detailed analysis of phase transitions in models with discrete symmetry and Yukawa interactions, including calculations of chiral condensates in different dimensions.

Findings

Models exhibit phase transitions depending on coupling constants.

Chiral condensates are calculated in the one-loop approximation.

Phase structure varies between two and four dimensions.

Abstract

We investigate a class of models with a massless fermion and a self-interacting scalar field with the Yukawa interaction between these two fields. The models considered are formulated in two and four spacetime dimensions and possess a discrete symmetry. We calculate the chiral condensates are calculated in the one-loop approximation. We show that the models have a phase transitions as a function of the coupling constants.