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

1996/08/28 by R. Alkofer, Alkofer, R., A. Hauck +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9608471

4 pages, 3 figures, Contribution to the Workshop ''Quark Confinement and the Hadron Spectrum II'', Como, Italy, June 26--29, 1996, to appear in the Proceedings, ed. Nora Brambilla, World Scientific

arxiv created 1996/08/28 · arxiv updated 2009/11/30

Abstract

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 β 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: α_S increases without bound in the infrared.

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