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

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

2008-05-07

arxiv.org/abs/0805.0826v1

Ann.Phys 324:205-219,2009

Physics

High Energy Physics

High Energy Physics - Theory

22 pages

Scientific paper

10.1016/j.aop.2008.05.007

We discuss the structure of beta functions as determined by the recursive nature of Dyson--Schwinger equations turned into an analysis of ordinary differential equations, with particular emphasis given to quantum electrodynamics. In particular we determine when a separatrix for solutions to such ODEs exists and clarify the existence of Landau poles beyond perturbation theory. Both are determined in terms of explicit conditions on the asymptotics for the growth of skeleton graphs.

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