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• W2041475599 abstract "We study the quantum deformation of the Barrett-Crane Lorentzian spin foam model which is conjectured to be the discretization of Lorentzian Plebanski model with positive cosmological constant and includes therefore as a particular sector quantum gravity in de-Sitter space. This spin foam model is constructed using harmonic analysis on the quantum Lorentz group. The evaluation of simple spin networks are shown to be non commutative integrals over the quantum hyperboloid defined as a pile of fuzzy spheres. We show that the introduction of the cosmological constant removes all the infrared divergences: for any fixed triangulation, the integration over the area variables is finite for a large class of normalization of the amplitude of the edges and of the faces." @default.
• W2041475599 created "2016-06-24" @default.
• W2041475599 creator A5039331757 @default.
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• W2041475599 date "2003-07-01" @default.
• W2041475599 modified "2023-10-18" @default.
• W2041475599 title "Cosmological deformation of Lorentzian spin foam models" @default.
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• W2041475599 doi "https://doi.org/10.1088/0264-9381/20/14/318" @default.
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