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Propagator on the h-deformed Lobachevsky plane

John Madore·Harold Steinacker
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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.

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John Madore, Harold Steinacker. 1999-12-07. Propagator on the h-deformed Lobachevsky plane. https://doi.org/10.1088/0305-4470%2F33%2F2%2F309

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