Please use this identifier to cite or link to this item: https://physrep.ff.bg.ac.rs/handle/123456789/230
Title: Laplacian on fuzzy de Sitter space
Authors: Brkić, Bojana 
Burić, Maja 
Latas, Duško 
Keywords: de Sitter cosmology;models of quantum gravity;noncommutative geometry
Issue Date: 6-Jun-2022
Journal: Classical and Quantum Gravity
Abstract: 
We study details of geometry of noncommutative de Sitter space: we determine the Riemann and Ricci curvature tensors, the energy and the Laplacian. We find, in particular, that fuzzy de Sitter space is an Einstein space, R ab = -3ζη ab . The Laplacian, defined in the noncommutative frame formalism, is not Hermitian and gives nonunitary evolution. When symmetrically ordered, it has the usual quadratic form Δ= Π a Π a (when acting on functions in representation space, ψϵH ): we find its eigenstates and discuss its spectrum. This result is a first step in a study of the scalar field Laplacian, Δ= [Π a , [Π a , ]], and its propagator.
URI: https://physrep.ff.bg.ac.rs/handle/123456789/230
ISSN: 0264-9381
DOI: 10.1088/1361-6382/ac6133
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