Freezing of the QCD coupling constant and solutions of Schwinger-Dyson equations

Details Freezing of the QCD coupling constant and solutions of Schwinger-Dyson equations Freezing of the QCD coupling constant and solutions of Schwinger-Dyson equations

2001-09-24

arxiv.org/abs/hep-ph/0109223v2

Phys.Rev. D65 (2002) 054011

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 4 figures, RevTeX, axodraw

Scientific paper

10.1103/PhysRevD.65.054011

We compare phenomenological values of the frozen QCD running coupling constant ($\alpha_s$) with two classes of solutions obtained through nonperturbative Schwinger-Dyson equations. We use these same solutions with frozen coupling constants as well as their respective nonperturbative gluon propagators to compute the QCD prediction for the asymptotic pion form factor. Agreement between theory and experiment on $\alpha_s(0)$ and $F_\pi (Q^2)$ is found only for one of the solutions Schwinger-Dyson equations.

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