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

Don Colladay·Patrick McDonald
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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.

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Don Colladay, Patrick McDonald. 2006-09-08. One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation. https://doi.org/10.1103/physrevd.75.105002

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