Published January 2009
| Version v1
Journal article
The QED β-function from global solutions to Dyson-Schwinger equations
- 1. Department of Mathematics and Statistics, Boston University, 111 Cummington Street, Boston MA 02215 (United States)
- 2. Center for Mathematical Physics Boston University, 111 Cummington Street, Boston MA 02215 (United States)
- 3. CNRS-IHES, 35 route de Chartres, 91440 Bures sur Yvette (France)
Description
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
Availability note (English)
Available from http://dx.doi.org/10.1016/j.aop.2008.05.007Additional details
Identifiers
- DOI
- 10.1016/j.aop.2008.05.007;
- arXiv
- arXiv:0805.0826v1;
- PII
- S0003-4916(08)00086-9;
Publishing Information
- Journal Title
- Annals of Physics (New York)
- Journal Volume
- 324
- Journal Issue
- 1
- Journal Page Range
- p. 205-219
- ISSN
- 0003-4916
- CODEN
- APNYA6
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 40044449
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; DYSON REPRESENTATION; FUNCTIONS; GRAPH THEORY; PERTURBATION THEORY; QUANTUM ELECTRODYNAMICS; SCHWINGER FUNCTIONAL EQUATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; ELECTRODYNAMICS; EQUATIONS; FIELD THEORIES; MATHEMATICAL SOLUTIONS; MATHEMATICS; QUANTUM FIELD THEORY
Optional Information
- Copyright
- Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.