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Chiral Anomaly and CPT invariance in an implicit momentum space regularization framework

A. P. Baeta Scarpelli·M. Sampaio·M. C. Nemes·B. Hiller
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Abstract

This is the second in a series of two contributions in which we set out to establish a novel momentum space framework to treat field theoretical infinities in perturbative calculations when parity-violating objects occur. Since no analytic continuation on the space-time dimension is effected, this framework can be particularly useful to treat dimension-specific theories. Moreover arbitrary local terms stemming from the underlying infinities of the model can be properly parametrized. We (re)analyse the undeterminacy of the radiatively generated CPT violating Chern-Simons term within an extended version of $QED_4$ and calculate the Adler-Bardeen-Bell-Jackiw triangle anomaly to show that our framework is consistent and general to handle the subtleties involved when a radiative corretion is finite.

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A. P. Baeta Scarpelli, M. Sampaio, M. C. Nemes, B. Hiller. 2001-05-25. Chiral Anomaly and CPT invariance in an implicit momentum space regularization framework. https://doi.org/10.1103/physrevd.64.046013

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