FROM DYSON-SCHWINGER EQUATIONS TO THE RIEMANN-HILBERT CORRESPONDENCE

被引：6
|
作者：
Shojaei-Fard, Ali [1 ]
机构：
[1] Shahid Beheshti Univ, Dept Math, Tehran 1983963113, Iran
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2010年 / 7卷 / 04期
关键词：
Connes-Kreimer Hopf algebra of rooted trees; universal Hopf algebra of renormalization; combinatorial Dyson-Schwinger equations; Connes-Marcolli's approach to perturbative renormalization; HOPF ALGEBRA; FEYNMAN GRAPHS; RENORMALIZATION; FIELDS;
D O I：
10.1142/S0219887810004427
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, with the study of combinatorial Dyson-Schwinger equations at the level of the universal Hopf algebra of renormalization and with the extension of the universality of this specific Hopf algebra and also category of flat equisingular vector bundles to the level of these equations, we are going to consider the notion of a geometric description from nonperturbative theory.
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页码：519 / 538
页数：20
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