Path Integrals on Riemannian Manifolds with Symmetry and Stratified Gauge Structure

Details Path Integrals on Riemannian Manifolds with Symmetry and Stratified Gauge Structure Path Integrals on Riemannian Manifolds with Symmetry and Stratified Gauge Structure

2001-10-02

arxiv.org/abs/hep-th/0110015v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figures, LaTeX2e; Proceedings of The Third International Conference on Geometry, Integrability and Quantization,

Scientific paper

We study a quantum system in a Riemannian manifold M on which a Lie group G acts isometrically. The path integral on M is decomposed into a family of path integrals on a quotient space Q=M/G and the reduced path integrals are completely classified by irreducible unitary representations of G. It is not necessary to assume that the action of G on M is either free or transitive. Hence the quotient space M/G may have orbifold singularities. Stratification geometry, which is a generalization of the concept of principal fiber bundle, is necessarily introduced to describe the path integral on M/G. Using it we show that the reduced path integral is expressed as a product of three factors; the rotational energy amplitude, the vibrational energy amplitude, and the holonomy factor.

Affiliated with

Also associated with

No associations

Rating

Path Integrals on Riemannian Manifolds with Symmetry and Stratified Gauge Structure does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Path Integrals on Riemannian Manifolds with Symmetry and Stratified Gauge Structure, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Path Integrals on Riemannian Manifolds with Symmetry and Stratified Gauge Structure will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-60587