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The point-splitting regularization of (2+1)d parity breaking models

D. G. Barci·J. F. Medeiros Neto·L. E. Oxman·S. P. Sorella
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Abstract

The coefficient of the Chern-Simons term in the effective action for massive Dirac fermions in three dimensions is computed by using the point-splitting regularization method. We show that in this framework no ambiguities arise. This is related to the fact that the point-splitting regularization does not introduce additional parity breaking effects, implementing one possible physical criterion in order to uniquely characterize the system.

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D. G. Barci, J. F. Medeiros Neto, L. E. Oxman, S. P. Sorella. 2000-11-24. The point-splitting regularization of (2+1)d parity breaking models. https://doi.org/10.1016/s0550-3213(01)00046-3

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