Bypassing the axial anomalies

Details Bypassing the axial anomalies Bypassing the axial anomalies

2005-12-09

arxiv.org/abs/hep-ph/0512123v1

Int.J.Mod.Phys.A20:6189-6199,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 4 figures, uses ws-ijmpa.cls, published in the proceedings of MRST 2005 conference, Utica, New York, 16-18 May 2005

Scientific paper

10.1142/S0217751X05029216

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 Feynman 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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