Circumventing the axial anomalies and the strong CP problem

Details Circumventing the axial anomalies and the strong CP problem Circumventing the axial anomalies and the strong CP problem

2005-03-15

arxiv.org/abs/hep-ph/0503141v2

Fizika B14 (2005) 13-30

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, some typos corrected, published in Prof. D. Tadic's memorial issue of Fizika B, expanded version of hep-ph/0512123

Scientific paper

Many meson processes are related to the U_A(1) axial anomaly, present in the Feynman graphs where fermion loops connect axial vertices with vector vertices. However, the coupling of pseudoscalar mesons to quarks does not have to be formulated via axial vertices. The pseudoscalar coupling is also possible, and this approach is especially natural on the level of the quark substructure of hadrons. In this paper we point out the advantages of calculating these processes using (instead of the anomalous graphs) the graphs where axial vertices are replaced by pseudoscalar vertices. We elaborate especially the case of the processes related to the Abelian axial anomaly of QED, but we speculate that it seems possible that effects of the non-Abelian axial anomaly of QCD can be accounted for in an analogous way.

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