文章基本信息

标题：Exact Computations in Topological Abelian Chern-Simons and BF Theories
本地全文：下载
作者：Philippe Mathieu
期刊名称：Advances in High Energy Physics
印刷版ISSN：1687-7357
电子版ISSN：1687-7365
出版年度：2017
卷号：2017
DOI：10.1155/2017/2878949
出版社：Hindawi Publishing Corporation
摘要：We introduce Deligne cohomology that classifies 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 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.