## The strong running coupling from an approximate gluon Dyson-Schwinger equation

Description:
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 behavior 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}{sub S} increases without bound in the infrared.

Date:
October 1, 1996

Creator:
Alkofer, R.; Hauck, A. & Von Smekal, L.

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