Lorentz and CPT violation in QED revisited: A missing analysis

2009/12/31 by O. M. Del Cima, Oswaldo M. Del Cima, Jakson M. Fonseca +2 · 38 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #CPT symmetry #Lorentz covariance #Lorentz transformation #Noncommutative and Quantum Gravity Theories #Particle physics #Physics #Quantum Mechanics and Applications #Quantum mechanics #hep-ph #hep-th

paper · pdf · doi:10.1016/j.physletb.2010.03.081

published in Physics Letters B 688(2-3), 258-262 (Elsevier BV)

openalex publication_date 2010/04/02 · arxiv created 2010/05/18 · arxiv updated 2010/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the breakdown of Lorentz symmetry in QED by a CPT violating interaction term consisting of the coupling of an axial fermion current with a constant vector field b, in the framework of algebraic renormalization -- a regularization-independent method. We show, to all orders in perturbation theory, that a CPT-odd and Lorentz violating Chern-Simons-like term, definitively, is not radiatively induced by the axial coupling of the fermions with the constant vector b.

Citations

• A PCAC puzzle: π0→γγ in the σ-model
• Gauge invariance and the Pauli-Villars regulator in Lorentz- and CPT-violating electrodynamics
• Extended QED with CPT violation: Clarifying some controversies
• On Gauge Invariance and Vacuum Polarization
• Renormalization of gauge theories
• Axial-Vector Vertex in Spinor Electrodynamics

Cited by

• On one-loop corrections in the non-minimal dimension-five extension of QED
• Remarks on the Renormalization Properties of Lorentz- and CPT-Violating Quantum Electrodynamics
• Dimensional reduction of theCPT-even electromagnetic sector of the standard model extension