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

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.

arXiv comment21 pages, 11 Figures

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• Lattice studies of supersymmetric gauge theories
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• Topological terms and anomaly matching in effective field theories on ${\mathbb{R}}^3\times S^1$: I. Abelian symmetries and intermediate scales
• Graded Hilbert spaces, quantum distillation and connecting SQCD to QCD
• Two Higgs Doublet Model with Scalar Mediation via Yukawa Interactions
• SU(2) gauge theory with one and two adjoint fermions towards the continuum limit