Lorentz and CPT symmetries in commutative and noncommutative spacetime

Abstract

We investigate the fermionic sector of a given theory, in which massive and charged Dirac fermions interact with an Abelian gauge field, including a non standard contribution that violates both Lorentz and CPT symmetries. We offer an explicit calculation in which the radiative corrections due to the fermions seem to generate a Chern-Simons-like effective action. Our results are obtained under the general guidance of dimensional regularization, and they show that there is no room for Lorentz and CPT violation in both commutative and noncommutative spacetime.

RevTex4, 7 pages, to be published in J. Phys. A

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Cited by in corpus (17)

• On the aether-like Lorentz-breaking actions
• On the perturbative generation of the higher-derivative Lorentz-breaking terms
• On the induction of the four-dimensional Lorentz-breaking non-Abelian Chern-Simons action
• Lorentz violation and the proper-time method
• Remarks on the Aharonov-Casher dynamics in a CPT-odd Lorentz-violating background
• Chern-Simons-like action induced radiatively in General Relativity
• Dynamical Lorentz and CPT symmetry breaking in a 4D four-fermion model
• Induced higher-derivative Lorentz-violating Chern-Simons term at finite temperature
• On the Aharonov-Casher scattering in a CPT-odd Lorentz-violating background
• The Lorentz and CPT violating effects on the Z\to l^+ l^- decay
• On the dual equivalence between self-dual and Maxwell-Chern-Simons models with Lorentz symmetry breaking
• Nonanalyticity of the induced Carroll-Field-Jackiw term at finite temperature
• Two-dimensional Lorentz-violating Chern-Simons-like action
• Ambiguities of the CPT-even aether-like Lorentz-breaking term at the finite temperature
• On the anomalies in Lorentz-breaking theories
• On the duality in CPT-even Lorentz-breaking theories
• Higher-derivative Lorentz-breaking terms in extended QED at the finite temperature