Exact Computations in Topological Abelian Chern-Simons and BF Theories

被引：0
|
作者：
Mathieu, Philippe [1 ]
机构：
[1] Univ Savoie, LAPTh, CNRS, Chemin Bellevue,BP 110, F-74941 Annecy Le Vieux, France
来源：
ADVANCES IN HIGH ENERGY PHYSICS | 2017年 / 2017卷
关键词：
INVARIANTS;
D O I：
10.1155/2017/2878949
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We introduce Deligne cohomology that classifies U(1) fibre bundles over 3 manifolds endowed with connections. We show how the structure of Deligne cohomology classes provides a way to perform exact (nonperturbative) computations in U(1) Chern-Simons theory (BF theory, resp.) at the level of functional integrals. The partition functions (and observables) of these theories are strongly related to topological invariants well known to the mathematicians.
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页数：6
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