On path integral localization and the Laplacian, the thesis

Details On path integral localization and the Laplacian, the thesis On path integral localization and the Laplacian, the thesis

1999-05-27

arxiv.org/abs/math-ph/9905021v1

Physics

Mathematical Physics

40 pages, uses antero.sty that is included, Ph.D. thesis, Uppsala University

Scientific paper

In this thesis, we develop path integral localization methods that are familiar from topological field theory: the integral over the infinite dimensional integration domain depends only on local data around some finite dimensional subdomain. We introduce a new localization principle that unifies BRST localization, the non-Abelian localization principle and the conformal generalization of the Duistermaat-Heckman integration formula. In addition, it is studied if one can possibly derive a generalized Selberg's trace formula on locally homogeneous manifolds using localization techniques. However, a definite answer is obtained only in the Lie group case (we complete the work of R. Picken) in which it is an application of the Duistermaat-Heckman integration formula. Also a new derivation of DeWitt's term is reported. Furthermore, connections between evolution operators of integrable models and localization methods are studied. A derivative expansion localization is presented and it is conjectured to apply also to integrable models, for example the Toda lattice. Moreover, a pedagogical introduction to the localization techniques is given, as well as a list of selected references that might be useful for a beginning graduate student in mathematical physics or for a mathematician who would like to study the physical point of view to topological field theory and string theory.

Affiliated with

Also associated with

No associations

Rating

On path integral localization and the Laplacian, the thesis 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 On path integral localization and the Laplacian, the thesis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On path integral localization and the Laplacian, the thesis will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-54382