The Topological Particle and Morse Theory

Details The Topological Particle and Morse Theory The Topological Particle and Morse Theory

2000-05-08

arxiv.org/abs/hep-th/0005070v1

Class.Quant.Grav. 17 (2000) 3703-3714

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1088/0264-9381/17/18/309

Canonical BRST quantization of the topological particle defined by a Morse function h is described. Stochastic calculus, using Brownian paths which implement the WKB method in a new way providing rigorous tunnelling results even in curved space, is used to give an explicit and simple expression for the matrix elements of the evolution operator for the BRST Hamiltonian. These matrix elements lead to a representation of the manifold cohomology in terms of critical points of h along lines developed by Witten.

Affiliated with

Also associated with

No associations

Rating

The Topological Particle and Morse Theory 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 The Topological Particle and Morse Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Topological Particle and Morse Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-425943