5 J ul 1 99 9 Propagator on the h – deformed Lobachevsky plane
نویسنده
چکیده
The action of the isometry algebra Uh(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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ar X iv : m at h / 99 07 02 3 v 2 [ m at h . Q A ] 7 D ec 1 99 9 Propagator on the h – deformed Lobachevsky plane
The action of the isometry algebra Uh(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. PACS classification 11.10.Kk, 03.65.Fd John.Madore@th...
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