Circumventing the axial anomalies and the strong CP problem

Kekez, Dalibor and Klabučar, Dubravko and Scadron, Michael D. (2005) Circumventing the axial anomalies and the strong CP problem. Fizika B, 14 (1). pp. 13-30. ISSN 1330-0016

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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.

Item Type: Article
Keywords: anomaly, quark loops, radiative and hadronic decays of mesons
Date: 2005
Subjects: NATURAL SCIENCES > Physics
Divisions: Faculty of Science > Department of Physics
Publisher: Hrvatsko fizikalno društvo
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 14 Mar 2014 22:01
Last Modified: 07 Apr 2014 14:14

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