NON-ABELIAN GAUGE THEORY FOR CHERN-SIMONS PATH INTEGRAL ON R3

被引：6

作者：

Lim, Adrian P. C. ^{[1
]}

机构：

[1] Nanyang Technol Univ, Singapore 637616, Singapore

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2012年 / 21卷 / 04期

关键词：

Chern-Simons; path integral; link invariants; Wilson loop observables;

D O I：

10.1142/S021821651100987X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a prequel to this article, we used abstract Wiener measure to define the Chern-Simons path integral over R-3. In this sequel, we compute the Wilson Loop observable for the non-abelian gauge group and compare with current knot literature.

引用

页数：24

共 50 条

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