One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation

Abstract

The explicit one-loop renormalizability of pure Yang-Mills theory with Lorentz violation is demonstrated. The result is consistent with multiplicative renormalization as the required counter terms are consistent with a single re-scaling of the Lorentz-violation parameters. In addition, the resulting beta functions indicate that the CPT-even Lorentz-violating terms increase with energy scale in opposition to the asymptotically free gauge coupling and CPT-odd terms. The calculations are performed at lowest-order in the Lorentz-violating terms as they are assumed small.

14 pages

References in corpus (4)

• Physics Reach of High-Energy and High-Statistics IceCube Atmospheric Neutrino Data
• Gauge Invariance and the Pauli-Villars Regulator in Lorentz- and CPT-Violating Electrodynamics
• Failure of Gauge Invariance in the Nonperturbative Formulation of Massless Lorentz-Violating QED
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• Glueball Masses in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory
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