Results 1 to 10 of about 6,189 (307)
Quantum exponentials for the modular double and applications in gravity models [PDF]
Journal of High Energy Physics, 2023 In this note, we propose a decomposition of the quantum matrix group SL q + $$ {\textrm{SL}}_q^{+} $$ (2, ℝ) as (deformed) exponentiation of the quantum algebra generators of Faddeev’s modular double of U q ( sl $$ \mathfrak{sl} $$ (2, ℝ)).
Thomas G. Mertens
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Spin foam models of Riemannian quantum gravity [PDF]
Classical and Quantum Gravity, 2002 Using numerical calculations, we compare three versions of the Barrett-Crane model of 4-dimensional Riemannian quantum gravity. In the version with face and edge amplitudes as described by De Pietri, Freidel, Krasnov, and Rovelli, we show the partition function diverges very rapidly for many triangulated 4-manifolds.
John C Baez +3 more
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Effective actions for Regge state-sum models of quantum gravity [PDF]
Advances in Theoretical and Mathematical Physics, 2017 22 pages, improved presentation, 4 references ...
Aleksandar Miković
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A Matrix Model Proposal for Quantum Gravity and the Quantum Mechanics of Black Holes [PDF]
Physical Review DWe propose a quantum mechanical theory of quantum spaces described by large N noncommutative geometry as a model for quantum gravity. The model admits a fuzzy sphere as a static solution. Over the fuzzy geometry, the quantum mechanics of the fermions is given by a sum of oscillators with equal frequency. The energy state where exactly half of the Fermi
Chong-Sun Chu
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An integrable model of quantum gravity [PDF]
Physics Letters B, 1995 12 ...
Korotkin, D., Nicolai, H.
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Lorentzian quantum gravity via Pachner moves: one-loop evaluation
Journal of High Energy Physics, 2023 Lorentzian quantum gravity is believed to cure the pathologies encountered in Euclidean quantum gravity, such as the conformal factor problem. We show that this is the case for the Lorentzian Regge path integral expanded around a flat background.
Johanna N. Borissova, Bianca Dittrich
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Journal of High Energy Physics, 2022 Combinatorial quantum gravity is governed by a discrete Einstein-Hilbert action formulated on an ensemble of random graphs. There is strong evidence for a second-order quantum phase transition separating a random phase at strong coupling from an ordered,
C. A. Trugenberger
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Effective de Sitter space, quantum behaviour and large-scale spectral dimension (3+1)
Journal of High Energy Physics, 2023 De Sitter space-time, essentially our own universe, is plagued by problems at the quantum level. Here we propose that Lorentzian de Sitter space-time is not fundamental but constitutes only an effective description of a more fundamental quantum gravity ...
C. A. Trugenberger
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From quantum groups to Liouville and dilaton quantum gravity
Journal of High Energy Physics, 2022 We investigate the underlying quantum group symmetry of 2d Liouville and dilaton gravity models, both consolidating known results and extending them to the cases with N $$ \mathcal{N} $$ = 1 supersymmetry.
Yale Fan, Thomas G. Mertens
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Contextual extensions of quantum gravity models [PDF]
International Journal of Geometric Methods in Modern Physics, 2021 We present a simple way of incorporating the structure of contextual extensions into quantum gravity models. The contextual extensions of [Formula: see text]-algebras, originally proposed for contextual hidden variables, are generalized to the cones indexed by the contexts and their limit in a category.
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