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Particles and Fields
Eur. Phys. J. C 28, 405-414 (2003)
DOI: 10.1140/epjc/s2003-01167-7

On the effective lagrangian in spinor electrodynamics with added violation of Lorentz and CPT-symmetries

Yu.A. Sitenko1, 2 and K.Yu. Rulik1, 3

1  Bogolyubov Institute for Theoretical Physics, National Academy of Sciences, 03143 Kyiv, Ukraine
2  Institute for Theoretical Physics, University of Berne, Sidlerstrasse 5, 3012 Berne, Switzerland
3  Dipartimento di Fisica Teorica, Universitá di Torino, Via P. Giuria 1, 10125 Torino, Italy

(Received: 29 January 2003 / Published online: 24 March 2003)

We consider quantum electrodynamics with additional coupling of spinor fields to the space-time independent axial vector violating both Lorentz and CPT-symmetries. The Fock-Schwinger proper-time method is used to calculate the one-loop effective action up to the second order in the axial vector and to all orders in the space-time independent electromagnetic field strength. We find that the Chern-Simons term is not radiatively induced and that the effective action is CPT-invariant in the given approximation.

© Società Italiana di Fisica, Springer-Verlag 2003