Analytic regularization of the Yukawa Model at Finite Temperature

TL;DR

This paper investigates the fermionic effects on the scalar potential in a finite-temperature Yukawa model, employing a novel regularization approach that combines dimensional and analytic techniques, and finds finiteness in three dimensions.

Contribution

It introduces a mixed regularization method for the Yukawa model at finite temperature and derives a general fermionic contribution expression valid in any spacetime dimension.

Findings

Fermionic contribution is finite in three dimensions.

Derived a general expression for fermionic effects in arbitrary dimensions.

Regularization method effectively handles divergences in the model.

Abstract

We analyse the one-loop fermionic contribution for the scalar effective potential in the temperature dependent Yukawa model. In order to regularize the model a mix between dimensional and analytic regularization procedures is used. We find a general expression for the fermionic contribution in arbitrary spacetime dimension. It is found that in D=3 this contribution is finite.