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

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.

arXiv comment20 pages. No figures. To appear at the PRD

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• Constraining CPT-even and Lorentz-violating nonminimal couplings with the electron magnetic and electric dipole moments
• Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
• Eikonal approximation, Finsler structures, and implications for Lorentz-violating photons in weak gravitational fields
• General CPT-even dimension-five nonminimal couplings between fermions and photons yielding EDM and MDM
• Lorentz-violating modification of Dirac theory based on spin-nondegenerate operators
• From classical Lagrangians to Hamilton operators in the Standard-Model Extension
• Lorentz-violating Yang-Mills theory: discussing the Chern-Simons-like term generation
• Remarks on the renormalization properties of Lorentz and CPT violating quantum electrodynamics
• Gauge field spectrum in massive Yang-Mills theory with Lorentz violation
• Decays $Z\to \gamma \gamma$ and $Z\to gg$ in the Standard Model Extension
• Gauge anomalies in Lorentz-violating QED
• Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Aspects of the gauge boson-gaugino mixing in a supersymmetric scenario with Lorentz-symmetry violation
• One-loop Schwinger effect in the presence of Lorentz-violating background fields
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• Lorentz symmetry breaking in a Yang-Mills theory within the Gribov restriction
• Non-Abelian extension of the aether term and the Gribov problem
• Topological symmetry-restored phase of gravity
• Vacuum polarization in Yang-Mills theories with Lorentz violation
• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector
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• Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background