A mathematical construction of the non-abelian Chern-Simons functional integral

被引：30

作者：

Albeverio, S

Sengupta, A

机构：

[1] Fak. und Inst. für Mathematik, Ruhr-Universität Bochum

[2] Department of Mathematics, Louisiana State University, Baton Rouge, LA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1997年 / 186卷 / 03期

关键词：

D O I：

10.1007/s002200050120

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct rigorously an infinite dimensional distribution which corresponds to the Chern-Simons (CS) functional integral associated with a principal fiber bundle over R-3 with structure group a compact connected Lie group. We determine the 'moments' of the CS distribution and show that these coincide with those used in informal studies of the CS integral. A locality property of the CS distribution is proven. The complesified theory of Frohlich and King is also discussed within our framework.

引用

页码：563 / 579

页数：17