Results 1 to 10 of about 165,231 (345)

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
doaj   +2 more sources

Quantum cosmology of generalized two-dimensional dilaton-gravity models [PDF]

Physical Review D, 1995
28 pages ...
A. A. Tseytlin, A. Abouelsaood, A. Giveon, A. Hosoya, A. Ishikawa, A. M. Polyakov, A. M. Polyakov, A. Miković, A. Vilenkin, A. Zhuk, A. Zhuk, B. S. DeWitt, C. Callan, C. Callan, C. Callan, C. G. Callan, C. Lanczos, C. Lovelace, C. R. Chester, D. Louis Martinez, D. N. Page, D. Zwillinger, E. Abdalla, E. Adi, E. Farhi, E. Fradkin, E. Witten, F. D. Mazzitelli, G. F. R. Ellis, G. Magnano, G. Moore, H. J. Schmidt, J. A. Wheeler, J. B. Hartle, J. Bene, J. Bene, J. E. Lidsey, J. G. Russo, J. G. Russo, J. Gegenberg, J. J. Halliwell, J. J. Halliwell, J. Klauder, J. Navarro Salas, J. Navarro Salas, J. Navarro Salas, J. Uglum, James E. Lidsey, K. Isler, K. Kikkawa, L. J. Garay, L. J. Garay, L. M. Campbell, M. "Onder, M. "Onder, M. Asano, M. B. Green, M. Born, M. Carreau, M. Claudson, M. D. McGuigan, M. Henneaux, M. Sakai, N. D. Birrell, N. Marcus, N. Seiberg, O. Obregón, O. Obregón, P. A. M. Dirac, P. D. D'Eath, P. Ginsparg, R. Capovilla, R. Graham, R. Graham, S. Mignemi, S. W. Hawking, S. W. Hawking, S. W. Hawking, S. W. Hawking, S. Wada, S. Wada, T. Banks, T. Dereli, T. Dereli, T. Dereli, T. H. Buscher, T. Hori, T. Thiemann, V. A. Rubakov, W. Fischler, W. Fischler   +90 more
openaire   +6 more sources

Lattice Models of Quantum Gravity [PDF]

, 1998
Standard Regge Calculus provides an interesting method to explore quantum gravity in a non-perturbative fashion but turns out to be a CPU-time demanding enterprise. One therefore seeks for suitable approximations which retain most of its universal features. The $Z_2$-Regge model could be such a desired simplification. Here the quadratic edge lengths $q$
Bittner, E., Hauke, A., Holm, C., Janke, W., Markum, H., Riedler, J.   +5 more
openaire   +5 more sources

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.
Baez, John C., Christensen, J. Daniel, Halford, Thomas R., Tsang, David C.   +3 more
openaire   +10 more sources

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
openalex   +4 more sources

A Matrix Model Proposal for Quantum Gravity and the Quantum Mechanics of Black Holes [PDF]

Physical Review D
We 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
openalex   +3 more sources

An integrable model of quantum gravity [PDF]

Physics Letters B, 1995
12 ...
Korotkin, D., Nicolai, H.
openaire   +6 more sources

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
doaj   +1 more source

Emergent time, cosmological constant and boundary dimension at infinity in combinatorial quantum gravity

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
doaj   +1 more source

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
doaj   +1 more source