Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1855147 | Annals of Physics | 2009 | 15 Pages |
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.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Guillaume van Baalen, Dirk Kreimer, David Uminsky, Karen Yeats,