# Zero Points of Chiral Condensate

## TL;DR

This paper analyzes a (1+1)-dimensional model with massless fermions and a massive scalar, revealing two distinct points where the chiral condensate vanishes, indicating phase transitions related to symmetry restoration and scalar mass sign change.

## Contribution

It provides a one-loop calculation of the chiral condensate in a specific Yukawa model, identifying two zero points associated with different phase transitions.

## Key findings

- Chiral condensate vanishes at two coupling values.
- First zero corresponds to discrete symmetry restoration.
- Second zero distinguishes positive and negative scalar mass squared.

## Abstract

We investigate a model with a massless fermion and a massive scalar field with the Yukawa interaction between these two fields. The model possess a discrete symmetry. The chiral condensate is calculated in one-loop approximation in $(1+1)$-dimensional spacetime. It was shown that the chiral condensate vanishes at two different values of the coupling constant. At the first of them there is a phase transition in which the discrete symmetry is restored. At the second zero of the chiral condensate it takes place a phase transition which distinguishes the positive $\mu^2$ from the negative $\mu^2$, where $\mu^2$ is an effective mass of the scalar field.