Asymptotically free lattice gauge theory in five dimensions

Abstract

A lattice formulation of Lifshitz-type gauge theories is presented. While the Lorentz-invariant Yang-Mills theory is not renormalizable in five dimensions, non-Abelian Lifshitz-type gauge theories are renormalizable and asymptotically free. We construct a lattice gauge action and numerically examine the continuum limit and the bulk phase structure.

Comments: 7 pages, 7 figures. v2: Introduction expanded, figures updated. Version to appear in PRD