Diffeomorphism Groups And Current Algebras: configuration space analysis in quantum theory (1997)
by
S. Albeverio
,
Yu. G. Kondratiev
,
M. Röckner
| Venue: | PREPRINT 97-073, SFB 343 |
| Citations: | 11 - 1 self |
BibTeX
@MISC{Albeverio97diffeomorphismgroups,
author = {S. Albeverio and Yu. G. Kondratiev and M. Röckner},
title = {Diffeomorphism Groups And Current Algebras: configuration space analysis in quantum theory},
year = {1997}
}
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Abstract
The constuction of models of non-relativistic quantum fields via current algebra representations is presented using a natural differential geometry of the configuration space \Gamma of particles, the corresponding classical Dirichlet operator associated with a Poisson measure on \Gamma, being the free Hamiltonian. The case with interactions is also discussed together with its relation to the problem of unitary representations of the diffeomorphism group on R^d.
