STOCHASTIC GAUGE TRANSFORM OF THE STRING BUNDLE

Authors
LEANDRE R
Citation
R. Leandre, STOCHASTIC GAUGE TRANSFORM OF THE STRING BUNDLE, Journal of geometry and physics, 26(1-2), 1998, pp. 1-25
Citations number
56
Categorie Soggetti
Mathematics,"Physycs, Mathematical",Mathematics,"Physycs, Mathematical
Journal title
Journal of geometry and physics → ACNP
ISSN journal
03930440
Volume
26
Issue
1-2
Year of publication
1998
Pages
1 - 25
Database
ISI
SICI code
0393-0440(1998)26:1-2<1:SGTOTS>2.0.ZU;2-S
Abstract
We give the notion of frame bundle of the Brownian bridge and we estab lish over it a Sobolev Calculus. We construct over this frame bundle a non-trivial circle bundle by using its functionals, and we study the associated stochastic gauge transform of this bundle over the original Brownian bridge.