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.

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

References in corpus (2)

• Signals for Lorentz Violation in Post-Newtonian Gravity
• On the consistency of Lorentz invariance violation in QED induced by fermions in constant axial-vector background

Cited by in corpus (26)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Matter-gravity couplings and Lorentz violation
• Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
• What Do We Know About Lorentz Invariance?
• Classical-physics applications for Finsler $b$ space
• One-Loop Renormalization of the Electroweak Sector with Lorentz Violation
• One-Loop Renormalization of QCD with Lorentz Violation
• Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension
• Renormalizability of Yang-Mills theory with Lorentz violation and gluon mass generation
• Relaxing Lorentz invariance in general perturbative anomalies
• Problems with Lorentz Violation Originating From a Cosmologically Varying Pseudoscalar Field
• Gauge anomalies in Lorentz-violating QED
• Vacuum contribution of photons in the theory with Lorentz and CPT-violating terms
• Reduced quantum electrodynamics in curved space
• Physical interpretation of large Lorentz violation via Weyl semimetals
• Nonperturbative Lorentz Violation and Field Quantization
• 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
• Two-loop renormalization of the CPT-even Lorentz-violating Scalar QED
• Solution to the $\beta$-functions in Lorentz-violating theories as a decomposition into irreducible representations
• Renormalization Group Running of the Parity Operator in Lorentz-Violating Quantum Field Theory
• CPT, Lorentz invariance and anomalous clash of symmetries
• Antimatter-Gravity Couplings, and Lorentz Symmetry