Loop and Path Spaces and¶Four-Dimensional BF Theories:¶Connections, Holonomies and Observables

被引：0

作者：

Alberto S. Cattaneo

P. Cotta-Ramusino

M. Rinaldi

机构：

[1] Dipartimento di Matematica,

[2] Università di Milano,undefined

[3] Via Saldini 50,undefined

[4] 20133 Milano,undefined

[5] and I.N.F.N.,undefined

[6] Sezione di Milano,undefined

[7] Italy. E-mail: cattaneo@elanor.mat.unimi.it; cotta@mi.infn.it,undefined

[8] Dipartimento di Matematica,undefined

[9] Università di Trieste,undefined

[10] Piazzale Europa 1,undefined

[11] 34127 Trieste,undefined

[12] Italy.¶ E-mail: rinaldi@univ.trieste.it,undefined

来源：

Communications in Mathematical Physics | 1999年 / 204卷

关键词：

Manifold; Field Theory; Quantum Field Theory; Free Path; Differential Geometry;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the differential geometry of principal G-bundles whose base space is the space of free paths (loops) on a manifold M. In particular we consider connections defined in terms of pairs (A,B), where A is a connection for a fixed principal bundle P(M,G) and B is a 2-form on M. The relevant curvatures, parallel transports and holonomies are computed and their expressions in local coordinates are exhibited. When the 2-form B is given by the curvature of A, then the so-called non-abelian Stokes formula follows.

引用

页码：493 / 524

页数：31