Lorentz and CPT violation in QED revisited: A missing analysis

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 $b$.

References in corpus (4)

• Gauge Invariance and the Pauli-Villars Regulator in Lorentz- and CPT-Violating Electrodynamics
• Gauge invariance and the CPT and Lorentz violating induced Chern-Simons-like term in extended QED
• The ambiguity-free four-dimensional Lorentz-breaking Chern-Simons action
• Extended QED with CPT violation : clarifying some controversies

Cited by in corpus (30)

• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Black holes with a cosmological constant in bumblebee gravity
• QED with minimal and nonminimal couplings: on the quantum generation of Lorentz violating terms in the pure photon sector
• Rotational strain in Weyl semimetals: A continuum approach
• Feynman propagator for the nonbirefringent CPT-even electrodynamics of the Standard Model Extension
• Radiative generation of the CPT-even gauge term of the SME from a dimension-five nonminimal coupling term
• Aspects of Quantum Corrections in a Lorentz-violating Extension of the Abelian Higgs Model
• Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
• Generation of Axion-Like Couplings via Quantum Corrections in a Lorentz Violating Background
• Radiative corrections and Lorentz violation
• Maxwell electrodynamics modified by CPT-even and Lorentz-violating dimension-6 higher-derivative terms
• Dimensional reduction of the CPT-even electromagnetic sector of the Standard Model Extension
• All orders renormalizability of a Lorentz and CPT violating quantum electrodynamics
• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• Lorentz-violating Yang-Mills theory: discussing the Chern-Simons-like term generation
• Remarks on the renormalization properties of Lorentz and CPT violating quantum electrodynamics
• Mirrors and field sources in a Lorentz-violating scalar field theory
• Testing CPT- and Lorentz-odd electrodynamics with waveguides
• Gauge field spectrum in massive Yang-Mills theory with Lorentz violation
• Field sources in a CPT-even Lorentz-violation Maxwell electrodynamics
• Gauge anomalies in Lorentz-violating QED
• Lorentz-violating effects in three-dimensional $QED$
• Super-entropy bumblebee AdS black holes
• Solid quantization for non-point particles
• Higher-order one-loop contributions in Lorentz-breaking QED
• Lorentz-violating nonminimal coupling contributions in mesonic hydrogen atoms and generation of photon higher-order derivative terms
• No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergences
• On one-loop corrections in the non-minimal dimension-five extension of QED
• Optical and Thermodynamic Signatures of Lorentz Symmetry Breaking in Bumblebee AdS Black Holes
• Symanzik-Becchi-Rouet-Stora lessons on renormalizable models with broken symmetry: the case of Lorentz violation