On the renormalization of CPT/Lorentz violating QED in curved space

Abstract

We consider the one-loop renormalization of QED in curved space-time with additional Lorentz and/or CPT breaking terms. The renormalization group equations in the vacuum sector are derived. In the special case of Minkowski metric and with constant Lorentz and CPT breaking terms these equations reduce to the ones obtained earlier by other authors. The necessary form of the vacuum counterterms indicate possible violations of the space or time homogeneity or space isotropy in the gravitational phenomena. However, the necessity of the phenomenologically most interesting terms such as linear in the space-time curvature or torsion, is related to the non-constant nature of the dimensionless Lorentz and CPT breaking parameters.

arXiv comment11 pages, LaTeX file. Minor improvements and new references added. Accepted in Physics Letters B

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• Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
• What Do We Know About Lorentz Invariance?
• Lorentz violation with an antisymmetric tensor
• Classical-physics applications for Finsler $b$ space
• Renormalization of Scalar and Yukawa Field Theories with Lorentz Violation
• One-Loop Renormalization of the Electroweak Sector with Lorentz Violation
• One-Loop Renormalization of QCD with Lorentz Violation
• Asymptotic states and renormalization in Lorentz-violating quantum field theory
• Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension
• Metric-affine bumblebee gravity: classical aspects
• Renormalizability of Yang-Mills theory with Lorentz violation and gluon mass generation
• Mass Renormalization in Lorentz-violating Scalar Field Theory
• Lorentz-violating Yang-Mills theory: discussing the Chern-Simons-like term generation
• Remarks on the renormalization properties of Lorentz and CPT violating quantum electrodynamics
• Relaxing Lorentz invariance in general perturbative anomalies
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• One-loop renormalization of Lorentz/CPT violating scalar field theory in curved space-time
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• Gauge anomalies in Lorentz-violating QED
• Bimetric QED
• Vacuum contribution of photons in the theory with Lorentz and CPT-violating terms
• Reduced quantum electrodynamics in curved space
• Nonperturbative Lorentz Violation and Field Quantization
• Physical interpretation of large Lorentz violation via Weyl semimetals
• No one-loop gauge anomalies for a Lorentz-violating quantum electrodynamics: Evaluation of the three-photon vertex
• Antimatter, the SME, and Gravity
• Braneworlds in bumblebee gravity
• Aspects of the Equivalence Between the $f^{\mu }$ and $c^{\nu \mu }$ Terms in Lorentz-Violating Quantum Field Theory
• Renormalization Scheme Dependence of $\beta$-Functions In Lorentz-Violating Quantum Field Theory
• Tests of Lorentz symmetry using antihydrogen
• Solution to the $\beta$-functions in Lorentz-violating theories as a decomposition into irreducible representations
• Two-loop renormalization of the CPT-even Lorentz-violating Scalar QED
• Antimatter-Gravity Couplings, and Lorentz Symmetry
• Renormalization Group Running of the Parity Operator in Lorentz-Violating Quantum Field Theory
• CPT, Lorentz invariance and anomalous clash of symmetries