G2 gauge theories

TL;DR

This paper reviews the properties and significance of G2 gauge theories, highlighting their role in studying confinement, finite density effects, and providing a testing ground for lattice simulation methods in non-Abelian gauge theories.

Contribution

It offers a comprehensive overview of G2 gauge theories, including their theoretical foundations, lattice simulation techniques, and implications for understanding QCD-like phenomena.

Findings

G2 gauge theories have a trivial center, affecting confinement properties.

Lattice simulations of G2 allow exploration at finite baryon densities.

G2 theories serve as a useful testing ground for non-Abelian gauge theory methods.

Abstract

QCD can be formulated using any gauge group. One particular interesting choice is to replace SU(3) by the exceptional group G2. Conceptually, this group is the simplest group with a trivial center. It thus permits to study the conjectured relevance of center degrees of freedom for QCD. Practically, since all its representation are real, it is possible to perform lattice simulations for this theory also at finite baryon densities. It is thus an excellent environment to test methods and to investigate general properties of gauge theories at finite densities. We review the status of our understanding of gauge theories with the gauge group G2, including Yang-Mills theory, Yang-Mills-Higgs theory, and QCD both in the vacuum and in the phase diagram.