Study of SU(2) gauge theories with multiple Higgs fields in different representations

TL;DR

This paper explores SU(2) gauge theories with multiple Higgs fields in different dimensions, revealing phase diagrams relevant to condensed matter and particle physics, including high-Tc superconductivity and electroweak symmetry breaking.

Contribution

It provides exploratory results on phase diagrams and particle spectra for two distinct SU(2) gauge-scalar theories in 3 and 4 dimensions, connecting to condensed matter and Standard Model extensions.

Findings

Phase diagram of 3D SU(2) with adjoint Higgs fields mapped to cuprate systems.

Exploratory results on the phase structure of 4D SU(2) with fundamental Higgs fields.

Insights into the particle spectrum and electroweak phase transition in the 2HDM context.

Abstract

We study two different SU(2) gauge-scalar theories in 3 and 4 spacetime dimensions. Firstly, we focus on the 3 dimensional SU(2) theory with multiple Higgs fields in the adjoint representation, that can be mapped to cuprate systems in condensed matter physics which host a rich phase diagram including high-Tc superconductivity. It has been proposed that the theory with 4 adjoint Higgs fields can be used to explain the physics of hole-doped cuprates for a wide range of parameters. We show exploratory results on the phase diagram of the theory. On the other hand, we are interested in the 4 dimensional theory with 2 sets of fundamental scalar (Higgs) fields, which is relevant to the 2 Higgs Doublet Model (2HDM), a proposed extension to the Standard Model of particle physics. The goal is to understand the particle spectrum of the theory at zero temperature and the electroweak phase transition at finite temperature. We present exploratory results on scale setting and the multi-parameter phase diagram of this theory.