PERTURBATIVE CHERN-SIMONS THEORY

被引：54

作者：

BARNATAN, D ^{[1
]}

机构：

[1] HARVARD UNIV,DEPT MATH,CAMBRIDGE,MA 02138

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 1995年 / 4卷 / 04期

关键词：

D O I：

10.1142/S0218216595000247

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present the perturbation theory of the Chern-Simons gauge field theory and prove that to second order it indeed gives knot invariants. We identify these invariants and show that in fact we get a previously unknown integral formula for the Arf invariant of a knot, in complete agreement with earlier non-perturbative results of Witten. We outline our expectations for the behavior of the theory beyond two loops.

引用

页码：503 / 547

页数：45

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