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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 |
Appears in Collections: | Journal Article |
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