Chiral Anomaly and CPT 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)analyse the undeterminacy of the radiatively generated CPT violating Chern-Simons term within an extended version of $QE{D}_4$ 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.

16 pages, LaTeX, version to appear in PRD

References in corpus (2)

• Physical (ir)relevance of ambiguities to Lorentz and CPT violation in QED
• Induced Lorentz- and CPT-violating Chern-Simons term in QED: Fock-Schwinger proper time method

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