Off-Shell Axial Anomaly via the γ^* π^0 -> γTransition

Abstract

The ${\gamma }^{\ast }{\pi }^0\to \gamma$ form factor, including the extension off the pion mass-shell, is obtained from a generalized impulse approximation within a QCD-based model field theory known to provide an excellent description of the pion charge form factor. This approach implements dressing of the vertex functions and propagators consistent with dynamical chiral symmetry breaking, gauge invariance, quark confinement and perturbative QCD. Soft nonperturbative behavior, dictated by the axial anomaly, is found to evolve to the perturbative QCD limit only for \mbox{$Q^2\ge 20{\mathrm{GeV}}^2$}.

arXiv comment10 Pages, 3 figures (uuencoded and appended), REVTEX

References in corpus (4)

• Dyson-Schwinger Equations and the Application to Hadronic Physics
• Electromagnetic Pion Form Factor and Neutral Pion Decay Width
• Charge symmetry breaking via rho-omega mixing from model quark-gluon dynamics
• Gauge Invariance and the Electromagnetic Current of Composite Pions

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