Dynamical Symmetry Breaking in Models with the Yukawa Interaction

TL;DR

This paper analyzes models with massless fermions and scalar fields interacting via Yukawa coupling, demonstrating a phase transition related to the scalar mass and calculating the chiral condensate and fermion mass analytically.

Contribution

It provides an analytical study of dynamical symmetry breaking in Yukawa models, highlighting the phase transition as a function of scalar mass.

Findings

Identification of a phase transition depending on scalar mass squared.

Analytical calculation of the chiral condensate.

Analytical determination of the fermion mass.

Abstract

We discuss models with a massless fermion and a self-interacting massive scalar field with the Yukawa interaction. The chiral condensate and the fermion mass are calculated analytically. It is shown that the models have a phase transition as a function of the squared mass of the scalar field.