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arXiv · 1404.4846

Renormalizability of Yang-Mills theory with Lorentz violation and gluon mass generation

T. R. S. Santos·R. F. Sobreiro
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Abstract

We show that pure Yang-Mills theories with Lorentz violation are renormalizable to all orders in perturbation theory. To do this, we employ the algebraic renormalization technique. Specifically, we control the breaking terms with a suitable set of external sources which, eventually, attain certain physical values. The Abelian case is also analyzed as a starting point. The main result is that the renormalizability of the usual Maxwell and Yang-Mills sectores are both left unchanged. Furthermore, in contrast to Lorentz violating QED, the odd CPT violation sector of Yang-Mills theories renormalizes independently. Moreover, the method induces, in a natural way, mass terms for the gauge field while the photon remains massless (at least n the sense of a Proca-like term). The entire analysis is carried out at the Landau gauge.

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T. R. S. Santos, R. F. Sobreiro. 2014-12-11. Renormalizability of Yang-Mills theory with Lorentz violation and gluon mass generation. https://doi.org/10.1103/physrevd.91.025008

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