The Strong Running Coupling from an Approximate Gluon Dyson-Schwinger Equation

Details The Strong Running Coupling from an Approximate Gluon Dyson-Schwinger Equation The Strong Running Coupling from an Approximate Gluon Dyson-Schwinger Equation

1996-08-28

arxiv.org/abs/hep-ph/9608471v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 3 figures, Contribution to the Workshop ''Quark Confinement and the Hadron Spectrum II'', Como, Italy, June 26--29, 1

Scientific paper

Using Mandelstam's approximation to the gluon Dyson-Schwinger equation we calculate the gluon self-energy in a renormalisation group invariant fashion. We obtain a non-perturbative $\beta $ function. The scaling behaviour near the ultraviolet stable fixed point is in good agreement with perturbative QCD. No further fixed point for positive values of the coupling is found: $\alpha_S$ increases without bound in the infrared.

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