White noise analysis on manifolds and the energy representation of a gauge group

Details White noise analysis on manifolds and the energy representation of a gauge group White noise analysis on manifolds and the energy representation of a gauge group

2008-05-09

arxiv.org/abs/0805.1329v3

Infinite Dimensional Analysis, Quantum Probability and Related Topics Vol. 13, No. 4 (2010) 619-627

Physics

Mathematical Physics

9 pages

Scientific paper

10.1142/S0219025710004243

The energy representation of a gauge group on a Riemannian manifold has been
discussed by several authors. Y. Shimada has shown the irreducibility for
compact Riemannian manifold, using white noise analysis. In this paper we
extend its technique to noncompact Riemannian manifolds which have differential
operators satisfying some conditions.

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