Propagator on the h-deformed Lobachevsky plane
arXiv:math/9907023 · doi:10.1088/0305-4470/33/2/309
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 2-point functions are shown to agree precisely with the classical ones. The propagator of the Laplacian is calculated explicitely. It is invariant only after adding a `non-classical' sector to the Hilbert space.
21 pages, LaTeX. 2nd order term in the cross-product included, 1 reference added. To appear in Journal of Physics A: Mathematical and General