The QCD beta-function from global solutions to Dyson-Schwinger equations
High Energy Physics - Theory
2010-01-21 v2
Abstract
We study quantum chromodynamics from the viewpoint of untruncated Dyson-Schwinger equations turned to an ordinary differential equation for the gluon anomalous dimension. This nonlinear equation is parameterized by a function P(x) which is unknown beyond perturbation theory. Still, very mild assumptions on P(x) lead to stringent restrictions for possible solutions to Dyson-Schwinger equations. We establish that the theory must have asymptotic freedom beyond perturbation theory and also investigate the low energy regime and the possibility for a mass gap in the asymptotically free theory.
Cite
@article{arxiv.0906.1754,
title = {The QCD beta-function from global solutions to Dyson-Schwinger equations},
author = {Guillaume van Baalen and Dirk Kreimer and David Uminsky and Karen Yeats},
journal= {arXiv preprint arXiv:0906.1754},
year = {2010}
}
Comments
34 pages, 4 figures