2014/04/30 by T. R. S. Santos, R. F. Sobreiro · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.91.025008
published as Phys. Rev. D 91, 025008 (2015) · 20 pages. No figures. To appear at the PRD
arxiv created 2014/12/11 · arxiv updated 2015/01/14
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.