The Finite Temperature Phase Diagram of a U(1) Higgs-Yukawa Model

TL;DR

This paper explores the phase diagram of a U(1) Higgs-Yukawa model at finite temperature, revealing symmetry restoration and phase shifts through large-Nf calculations and simulations.

Contribution

It provides the first detailed analysis of the finite temperature phase diagram of a U(1) Higgs-Yukawa model using combined analytical and numerical methods.

Findings

Phase diagram similar to zero temperature case

Shift of phase transition lines indicating symmetry restoration

Identification of ferromagnetic, symmetric, and antiferromagnetic phases

Abstract

The finite temperature phase diagram of a U(1) Higgs-Yukawa model at a finite value of the scalar self coupling $\lambda$ is investigated by means of a large-$N_f$ calculation and numerical simulations. The phase diagram is similar to the one at zero temperature and shows a ferromagnetic, two symmetric and an antiferromagnetic phase. However, the phase transition lines are shifted to larger values of the Yukawa coupling demonstrating the occurence of the finite temperature symmetry restoration.