Asymptotically free lattice gauge theory in five dimensions
Takuya Kanazawa, Arata Yamamoto
TL;DR
This paper introduces a lattice formulation for five-dimensional Lifshitz-type gauge theories, demonstrating their renormalizability and asymptotic freedom, unlike traditional Yang-Mills theories in five dimensions.
Contribution
It presents a novel lattice gauge action for Lifshitz-type theories and explores their continuum limit and phase structure through numerical analysis.
Findings
Lifshitz-type gauge theories are renormalizable in five dimensions.
These theories exhibit asymptotic freedom.
Numerical studies confirm the continuum limit and phase structure.
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.
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