Asymptotically free lattice gauge theory in five dimensions

Understand

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.