One-loop contributions in Lorentz-violating scalar QED with nonminimal coupling

Abstract

In the context of pertubative aspects of Lorentz-violating theories, we study the divergent one-loop two-point functions of a Lorentz-violating (LV) extension of scalar QED containing a dimension-five CPT-odd nonminimal coupling. The model is defined through a generalized covariant derivative involving a constant background vector and the dual electromagnetic field strength. After expanding the action, we derive the full set of vertices relevant for the photon and scalar self-energies, including the mixed minimal-nonminimal seagull interaction diagram required by the gauge invariance. Using dimensional regularization, we compute the divergent parts of the vacuum polarization and scalar self-energy. The complete photon two-point function is shown to be transverse since the mass-dependent pieces generated by the mixed and purely nonminimal bubble graphs cancel against the corresponding seagull graphs, leaving higher-derivative CPT-odd and CPT-even LV gauge counterterms. The scalar self-energy generates LV kinetic and higher-derivative counterterms. The calculation confirms that gauge invariance is preserved, while the nonminimal interaction should be understood within an effective-field-theory expansion.

21 pages, final submitted version

References in corpus (24)

• Data Tables for Lorentz and CPT Violation
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• One-Loop Renormalization of Lorentz-Violating Electrodynamics
• Dimension-8 Operators in the Standard Model Effective Field Theory
• On the aether-like Lorentz-breaking actions
• Vacuum Photon Splitting in Lorentz-Violating Quantum Electrodynamics
• Lorentz-violating spinor electrodynamics and Penning traps
• Gauge field theories with Lorentz-violating operators of arbitrary dimension
• Aspects of Causality and Unitarity and Comments on Vortex-like Configurations in an Abelian Model with a Lorentz-Breaking Term
• Massive photons and Lorentz violation
• Radiative generation of the CPT-even gauge term of the SME from a dimension-five nonminimal coupling term
• Radiatively induced Lorentz-violating operator of mass dimension five in QED
• Considerations Concerning the Contributions of Fundamental Particles to the Vacuum Energy Density
• Aspects of Quantum Corrections in a Lorentz-violating Extension of the Abelian Higgs Model
• Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics
• Maxwell electrodynamics modified by CPT-even and Lorentz-violating dimension-6 higher-derivative terms
• Radiative corrections and Lorentz violation
• Gupta--Bleuler's quantization of the anisotropic parity-even and CPT-even electrodynamics of standard model extension
• Topological charged BPS vortices in Lorentz-violating Maxwell-Higgs electrodynamics
• Three- and Four-Point Functions in CPT-Even Lorentz-Violating Scalar QED
• One-loop calculations in CPT-even Lorentz-breaking scalar QED
• Topological self-dual configurations in a Maxwell--Higgs model with a CPT-odd and Lorentz-violating nonminimal coupling
• Two-loop corrections to the Carroll-Field-Jackiw term in a CPT-odd Lorentz-violating scalar QED
• Two-loop renormalization of the CPT-even Lorentz-violating Scalar QED