Abstract
In this paper, 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.
Highlights
University of Jena, Institute for Theoretical Physics, Max-Wien-Platz 1, D-07743 Jena, Germany and University of Münster, Institute for Theoretical Physics, Wilhelm-Klemm-Str. 9, D-48149 Münster, Germany
In the last two decades, there has been a substantial effort to extend lattice Monte Carlo simulations from quantum chromodynamics (QCD) toward the full landscape of gauge theories including different numbers of fermion fields transforming in the fundamental representation of the gauge group
We have presented the first results of the simulations with a gauge theory coupled to fermions in adjoint and fundamental representation
Summary
In the last two decades, there has been a substantial effort to extend lattice Monte Carlo simulations from quantum chromodynamics (QCD) toward the full landscape of gauge theories including different numbers of fermion fields transforming in the fundamental representation of the gauge group. The theory can, be considered as a deformation SU(2) gauge theory with two fermions in the fundamental representation, which has been considered in several investigations as a composite Higgs model; see, for example, numerical studies in [22,23,24,25] Another relation of our investigations in the context of composite Higgs is the approach of a fine grained control of the running of the gauge coupling by different mass scales. This has been suggested and investigated for theories with a large number of flavors in the fundamental representation of SU(3) [26,27,28]. An important cross-check of our current first studies is the connection to pure adjoint and fundamental limits
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