Propagator on the h-deformed Lobachevsky plane

Authors
Madore, J Steinacker, H
Citation
J. Madore et H. Steinacker, Propagator on the h-deformed Lobachevsky plane, J PHYS A, 33(2), 2000, pp. 327-342
Citations number
18
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
2
Year of publication
2000
Pages
327 - 342
Database
ISI
SICI code
0305-4470(20000121)33:2<327:POTHLP>2.0.ZU;2-O
Abstract
The action of the isometry algebra U-h(sl(2)) on the h-deformed Lobachevsky plane is found. The invariant distance and the invariant two-point functio ns are shown to agree precisely with the classical ones. The propagator of the Laplacian is calculated explicitly. It is invariant only after adding a 'non-classical' sector to the Hilbert space.