Ambiguities in the generation of CFJ-terms in a QED with dimension-5 operators in one loop

Abstract

In this paper, we investigate a Lorentz symmetry breaking extension of Quantum Electrodynamics (QED), incorporating 5-dimensional CPT-odd terms at the one-loop level. Employing an independent regularization method, we systematically separate the divergences into regularization-independent contributions and regularization-dependent (surface terms). We demonstrate that these surface terms, potentially contributing to the radiative generation of Carroll-Field-Jackiw (CFJ) terms, remain undetermined even when imposing the Ward-Takahashi identity. Our results are consistent with existing literature and emphasize the necessity of a careful and consistent treatment of regularization ambiguities in quantum field theories involving symmetry breaking extensions.

arXiv comment14 pages

References in corpus (17)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Data Tables for Lorentz and CPT Violation
• Gravity, Lorentz Violation, and the Standard Model
• Radiatively Induced Lorentz and CPT Violation in Electrodynamics
• One-Loop Renormalization of Lorentz-Violating Electrodynamics
• When radiative corrections are finite but undetermined
• Physical (ir)relevance of ambiguities to Lorentz and CPT violation in QED
• To $d$, or not to $d$: Recent developments and comparisons of regularization schemes
• Gauge field theories with Lorentz-violating operators of arbitrary dimension
• QED with minimal and nonminimal couplings: on the quantum generation of Lorentz violating terms in the pure photon sector
• Quantum gravitational contributions to the beta function of quantum electrodynamics
• Momentum routing invariance in Feynman diagrams and quantum symmetry breakings
• Conductivity of Coulomb interacting massless Dirac particles in graphene: Regularization-dependent parameters and symmetry constraints
• Two-loop renormalisation of gauge theories in $4D$ Implicit Regularisation and connections to dimensional methods
• A brief review of Implicit Regularization and its connection with the BPHZ theorem
• Advances towards the systematization of calculations with Implicit Regularization