Remarks on the renormalization properties of Lorentz and CPT violating quantum electrodynamics

Abstract

In this work, we employ algebraic renormalization technique to show the renormalizability to all orders in perturbation theory of the Lorentz and CPT violating QED. Essentially, we control the breaking terms by using a suitable set of external sources. Thus, with the symmetries restored, a perturbative treatment can be consistently employed. After showing the renormalizability, the external sources attain certain physical values, which allow the recovering of the starting physical action. The main result is that the original QED action presents the three usual independent renormalization parameters. The Lorentz violating sector can be renormalized by nineteen independent parameters. Moreover, vacuum divergences appear with extra independent renormalization. Remarkably, the bosonic odd sector (Chern-Simons-like term) does not renormalize. One-loop computations are also presented and compared with the existing literature.

24 pages, 4 figures. arXiv admin note: text overlap with arXiv:1404.4846

References in corpus (9)

• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• Renormalization of Lorentz violating theories
• Soft breaking of BRST invariance for introducing non-perturbative infrared effects in a local and renormalizable way
• On the renormalization of CPT/Lorentz violating QED in curved space
• On the elimination of infinitesimal Gribov ambiguities in non-Abelian gauge theories
• Renormalizability of Yang-Mills theory with Lorentz violation and gluon mass generation
• Weighted power counting and chiral dimensional regularization
• Renormalization Of High-Energy Lorentz Violating Four Fermion Models
• No one-loop gauge anomalies for a Lorentz-violating quantum electrodynamics: Evaluation of the three-photon vertex

Cited by in corpus (15)

• Lorentz violation in Dirac and Weyl semimetals
• Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the Standard-Model Extension
• 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
• Lorentz-violating Yang-Mills theory: discussing the Chern-Simons-like term generation
• Gauge field spectrum in massive Yang-Mills theory with Lorentz violation
• Gauge anomalies in Lorentz-violating QED
• Bimetric QED
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• 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
• Topological symmetry-restored phase of gravity
• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector
• Fermionic quantum gas at finite temperature within a Lorentz violating background