Lorentz and CPT symmetries in commutative and noncommutative space-time

Bazeia, D.; Mariz, T.; Nascimento, J.R.; Passos, E.; Ribeiro, R.F.

doi:10.1088/0305-4470/36/17/319

Lorentz and CPT symmetries in commutative and noncommutative space-time

Mar, 2003

7 pages

Published in:

J.Phys.A 36 (2003) 4937

e-Print:

hep-th/0303122 [hep-th]

DOI:

10.1088/0305-4470/36/17/319

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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.

Note:

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

gauge field theory: abelian
fermion: Dirac
space-time: noncommutative
violation: Lorentz
violation: CPT
radiative correction
effective action
regularization: dimensional

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