Full quark-gluon vertex dynamics in the gap equation yields real poles with opposite-sign residues and a 350 MeV constituent mass, unlike prior approximations that produce complex poles.
Ladder Dyson-Schwinger calculation of the anomalous gamma-3pi form factor
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abstract
The anomalous processes, \gamma \to 3 \pi and \gamma \pi \to \pi\pi, are investigated within the Dyson-Schwinger framework using the rainbow-ladder approximation. Calculations reveal that a complete set of ladder diagrams beyond the impulse approximation are necessary to reproduce the fundamental low-energy theorem for the anomalous form factor. Higher momentum calculations also agree with the limited form factor data and exhibit the same resonance behavior as the phenomenological vector meson dominance model.
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Real poles with opposite-sign residues in the non-perturbative quark propagator
Full quark-gluon vertex dynamics in the gap equation yields real poles with opposite-sign residues and a 350 MeV constituent mass, unlike prior approximations that produce complex poles.