The QCD beta-function from global solutions to Dyson-Schwinger equations

Details The QCD beta-function from global solutions to Dyson-Schwinger equations The QCD beta-function from global solutions to Dyson-Schwinger equations

2009-06-09

arxiv.org/abs/0906.1754v2

Annals Phys.325:300-324,2010

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 4 figures

Scientific paper

10.1016/j.aop.2009.10.011

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.

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