Chiral anomaly and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CPT</mml:mi></mml:math>invariance in an implicit momentum space regularization framework

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)analyze the indeterminacy of the radiatively generated $\mathrm{CPT}$ violating Chern-Simons term within an extended version of ${\mathrm{QED}}_{4}$ and calculate the Adler-Bardeen-Bell-Jackiw triangle anomaly to show that our framework is consistent and general enough to handle the subtleties involved when a radiative correction is finite.