The Phase Diagram of a U(1) Higgs-Yukawa Model at Finite $\lambda$

TL;DR

This paper explores how the phase diagram of a U(1) Higgs-Yukawa model varies with the scalar self coupling λ, using analytical and numerical methods to understand the dependence beyond the infinite coupling limit.

Contribution

It provides a comprehensive analysis of the λ dependence of the phase diagram using multiple approximation techniques and numerical simulations.

Findings

Phase diagram significantly depends on λ.

Different phases emerge at finite λ compared to λ=∞.

Analytical and numerical results are consistent across methods.

Abstract

In this paper we investigate how the phase diagram of a U(1) symmetric Higgs-Yukawa system depends on the scalar self coupling $\lambda$. The phase diagram of similar models with continuous symmetry were extensively studied in the infinite scalar self coupling $\lambda=\infty$ limit. Recent analytical and numerical calculations at zero self coupling showed qualitatively different phase diagram, raising the question of the $\lambda$ dependence of the phase diagram. Here we use analytical (large $N_f$, perturbative and mean field) approximations as well as numerical simulations to investigate the system.