Asymptotic expansion of perturbative Chern-Simons theory via Wiener space

被引：6

作者：

Albeverio, Sergio ^{[1
]}

Mitoma, Itaru ^{[2
]}

机构：

[1] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany

[2] Saga Univ, Dept Math, Saga 8408502, Japan

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2009年 / 133卷 / 03期

基金：

日本学术振兴会;

关键词：

Chern-Simons integral; Asymptotic expansion; Abstract Winer space; Malliavin-Taniguchi formula; Linking number; ONE-LOOP APPROXIMATION; LINK INVARIANTS; PATH-INTEGRALS; GAUGE; CALCULUS; FORMULA;

D O I：

10.1016/j.bulsci.2007.07.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Chern-Simons integral is divided into a sum of finitely many resp. infinitely many contributions. A mathematical meaning is given to the "finite part" and an asymptotic estimate of the other part is given, using the abstract Wiener space setting. The latter takes the form of an asymptotic expansion in powers of a charge, using the infinite-dimensional Malliavin-Taniguchi formula for a change of variables. (C) 2007 Published by Elsevier Masson SAS.

引用

页码：272 / 314

页数：43

共 43 条

[1] Some new developments in the theory of path integrals, with applications to quantum theory [J].