The Strong Running Coupling from an Approximate Gluon Dyson-Schwinger Equation
High Energy Physics - Phenomenology
2007-05-23 v1
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 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: increases without bound in the infrared.
Keywords
Cite
@article{arxiv.hep-ph/9608471,
title = {The Strong Running Coupling from an Approximate Gluon Dyson-Schwinger Equation},
author = {R. Alkofer and A. Hauck and L. von Smekal},
journal= {arXiv preprint arXiv:hep-ph/9608471},
year = {2007}
}
Comments
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