Gauge Technique approximation to the $\pi \gamma$ production and the pion transition form factor

Abstract

The pion transition form factor $G(q^2)$ is computed on the entire domain of spacelike and timelike momenta using a quantum field theory continuum approach. In analytical continuation of the function $G(Q^2)$ we utilized the Gauge Technique with the quark propagator determined from Minkowski space solution of QCD Dyson-Schwinger equations. The scale is set up by the phenomena of dynamical chiral symmetry breaking, which is a striking feature of low energy QCD.

arXiv commentTypos and grammar corrected. New refs. added

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• Fermion and Photon gap-equations in Minkowski space within the Nakanishi Integral Representation method
• The Schwinger and Chiral Schwinger Models in a Non-perturbative Spectral Regularization