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The four dimensional Lorentz-breaking finite and determined Chern-Simons likeaction is generated as a one loop perturbative correction via an appropriateLorentz-breaking coupling of the gauge field with the spinor field. Unlike theknown schemes of calculations, within this scheme this term is found to beregularization independent.

The ambiguity-free four-dimensional Lorentz-breaking Chern-Simons action