A Note on the Radiatively Induced Lorentz and CPT Violated Chern-Simons-like Term in the Extended Quantum Electrodynamics

2007/12/16 by W.F. Chen, Chen, W. F.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics

paper · pdf · doi:10.48550/arxiv.0712.2557

openalex publication_date 2007/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the ambiguity for the Chern-Simons-like term induced from quantum correction in the extended QED should have nothing to do with the approximation on the exact fermionic propagator, contradictory to the claim in Ref.[19]. Further, we investigate the induced Chern-Simons-like term using the original 't Hooft-Veltman dimensional regularization and reproduce the result obtained by gauge symmetry analysis. This fact demonstrates that the origin of the ambiguity should lie in different choices on regularization schemes.

Citations

• Induced Lorentz-Violating Chern-Simons Term in QED and Anomalous Contributions to Effective Action Expansions

Related

• Lorentz and CPT violations in QED : a short comment on recent controversies
• Gauge invariance and the Pauli-Villars regulator in Lorentz- and CPT-violating electrodynamics
• Induced Lorentz-Violating Chern-Simons Term in QED and Anomalous Contributions to Effective Action Expansions
• Radiatively induced CPT-odd Chern-Simons term in massless QED
• Failure of Gauge Invariance in the Nonperturbative Formulation of Massless Lorentz-Violating QED