FIZIKA B 14 (2005) 1, 13 - 30
CIRCUMVENTING THE AXIAL ANOMALIES AND THE STRONG CP PROBLEM
DALIBOR KEKEZa, DUBRAVKO KLABUČARb and M. D.
aRuđer Bošković Institute, P.O.B. 180, 10002 Zagreb,
bPhysics Department, Faculty of Science, University of Zagreb, P.O.B. 331,
10002 Zagreb, Croatia
cPhysics Department, University of Arizona, Tucson AZ 85721 U.S.A.
Received 10 February 2005; Accepted 2 May 2005
Online 31 October 2005
Many meson processes are related to the UA(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.
PACS numbers: 14.40.-n, 12.39.Fe, 13.20.-v, 11.10.St
Keywords: anomaly, quark loops, radiative and hadronic decays of mesons