Exploring gauge theories with adjoint matter on the lattice

TL;DR

This paper reviews numerical simulations of gauge theories with adjoint matter, highlighting their significance in beyond Standard Model physics, supersymmetry, and understanding strong interactions through unique phase structures.

Contribution

It provides a comprehensive overview of lattice studies on adjoint matter gauge theories, emphasizing their novel phase diagrams and potential implications for fundamental physics.

Findings

Distinct phase diagram features identified

Relevance to supersymmetric extensions of the Standard Model

Insights into non-perturbative dynamics of strongly interacting theories

Abstract

We review our efforts in investigating gauge theories with fermions in the adjoint representation of the gauge group by means of numerical simulations. These theories have applications in possible extensions of the Standard Model of particle physics, being a core part of supersymmetric gauge theories. They also play an important role in uncovering fundamental properties of strongly interacting theories due to distinct features, such as a substantially different phase diagram.