Propagator on the h-deformed Lobachevsky plane
Quantum Algebra
2008-11-26 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.math/9907023,
title = {Propagator on the h-deformed Lobachevsky plane},
author = {John Madore and Harold Steinacker},
journal= {arXiv preprint arXiv:math/9907023},
year = {2008}
}
Comments
21 pages, LaTeX. 2nd order term in the cross-product included, 1 reference added. To appear in Journal of Physics A: Mathematical and General