The point-splitting regularization of (2+1)d parity breaking models
D.G. Barci, J.F. Medeiros Neto, L.E. Oxman, S.P. Sorella
TL;DR
This paper demonstrates that point-splitting regularization provides a clear, ambiguity-free method to compute the Chern-Simons term coefficient in 3D parity-breaking models, ensuring physical consistency.
Contribution
It introduces point-splitting regularization as a unique, ambiguity-free approach for calculating the Chern-Simons term in (2+1)d parity-breaking systems.
Findings
No ambiguities in the coefficient calculation using point-splitting
Regularization preserves parity, avoiding additional parity-breaking effects
Provides a physical criterion for unique system characterization
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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