Propagator on the h-deformed Lobachevsky plane

Details Propagator on the h-deformed Lobachevsky plane Propagator on the h-deformed Lobachevsky plane

1999-07-05

arxiv.org/abs/math/9907023v2

J.Phys.A33:327-342,2000

Mathematics

Quantum Algebra

21 pages, LaTeX. 2nd order term in the cross-product included, 1 reference added. To appear in Journal of Physics A: Mathemati

Scientific paper

10.1088/0305-4470/33/2/309

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.

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