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PERTURBATIVE EXPANSION OF CHERN-SIMONS THEORY WITH NONCOMPACT GAUGE GROUP

被引：65
作者：
BARNATAN, D
WITTEN, E
机构：
[1] PRINCETON UNIV,INST ADV STUDY,PRINCETON,NJ 08540
[2] PRINCETON UNIV,DEPT MATH,PRINCETON,NJ 08544
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 141卷 / 02期
关键词：
D O I：
10.1007/BF02101513
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Naive imitation of the usual formulas for compact gauge group in quantizing three dimensional Chern-Simons gauge theory with non-compact gauge group leads to formulas that are wrong or unilluminating. In this paper, an appropriate modification is described, which puts the perturbative expansion in a standard manifestly "unitary" format. The one loop contributions (which differ from naive extrapolation from the case of compact gauge group) are computed, and their topological invariance is verified.
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页码：423 / 440
页数：18
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