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

被引：19
|
作者：
van Baalen, Guillaume [2 ]
Kreimer, Dirk [1 ,3 ]
Uminsky, David [2 ]
Yeats, Karen [2 ]
机构：
[1] IHES, CNRS, F-91440 Bures Sur Yvette, France
[2] Boston Univ, Dept Math & Stat, Boston, MA 02215 USA
[3] Boston Univ, Ctr Math Phys, Boston, MA 02215 USA
来源：
ANNALS OF PHYSICS | 2009年 / 324卷 / 01期
关键词：
Dyson-Schwinger equations; Quantum electrodynamics; beta-Function; QUANTUM-FIELD THEORY; HOPF ALGEBRA; RENORMALIZATION;
D O I：
10.1016/j.aop.2008.05.007
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：205 / 219
页数：15
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