The QED beta-function from global solutions to Dyson-Schwinger equations
High Energy Physics - Theory
2014-11-18 v1 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0805.0826,
title = {The QED 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:0805.0826},
year = {2014}
}
Comments
22 pages