Lattice simulations of a gauge theory with mixed adjoint-fundamental matter

TL;DR

This paper reports on lattice simulations of a gauge theory with matter fields in both fundamental and adjoint representations, exploring their phase structure and symmetry breaking behaviors relevant to beyond Standard Model physics.

Contribution

It provides initial results on parameter tuning and the interplay between different matter representations in mixed gauge theories, advancing understanding of their phase dynamics.

Findings

Initial tuning of simulation parameters achieved.

Evidence of chiral symmetry breaking observed.

Potential conformal behavior investigated.

Abstract

In this article we summarize our efforts in simulating Yang-Mills theories coupled to matter fields transforming under the fundamental and adjoint representations of the gauge group. In the context of composite Higgs scenarios, gauge theories with mixed representation fields have been suggested to describe the fundamental interactions well beyond the electroweak unification scale, and they are also closely related to supersymmetric QCD. In addition, they are studied as deformations of theories with pure adjoint matter in the context of adiabatic continuity. We provide some first results for bare parameter tuning and interdependence of the two representations. We also investigate how the chiral symmetry breaking or a conformal scenario can be realized and checked in such theories.