Dynamical Higgs potentials with a landscape

TL;DR

This paper explores one-loop effective potentials for adjoint Higgs fields in gauge theories compactified on tori, revealing a landscape of many vacua with similar energies especially for large gauge groups and non-supersymmetric matter.

Contribution

It demonstrates that such potentials form a landscape with numerous vacua, expanding understanding of gauge theory vacua in compactified dimensions.

Findings

Potential landscape becomes prominent for large gauge groups.

Numerous vacua with similar properties and broad energy range.

Landscape-like structure appears in non-supersymmetric settings.

Abstract

We consider one-loop effective potentials for adjoint Higgs fields that originate from flat holonomies in toroidal compactification of gauge theories. We show that such potentials are "landscape-like" for large gauge groups and generic non-supersymmetric matter representations. In particular, there is a large number of vacua with similar local properties, scanning a broad band of vacuum energies.