Topology and perturbation theory

Details Topology and perturbation theory Topology and perturbation theory

2001-04-29

arxiv.org/abs/hep-th/0104252v1

J.Math.Phys. 41 (2000) 5710-5734

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, LaTex, no figures

Scientific paper

10.1063/1.533434

Paper contains description of the fields nonlinear modes successive quantization scheme. It is shown that the path integrals for absorption part of amplitudes are defined on the Dirac ($\d$-like) functional measure. This permits arbitrary transformation of the functional integral variables. New form of the perturbation theory achieved by mapping the quantum dynamics in the space $W_G$ of the ({\it action, angle})-type collective variables. It is shown that the transformed perturbation theory contributions are accumulated exactly on the boundary $\pa W_G$. Abilities of the developed formalism are illustrated by the Coulomb problem. This model is solved in the $W_C$=({\it angle, angular momentum, Runge-Lentz vector}) space and the reason of its exact integrability is `emptiness' of $\pa W_C$.

Affiliated with

Also associated with

No associations

Rating

Topology and perturbation 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 Topology and perturbation theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topology and perturbation theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-554499