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SPIN-CUBE MODELS OF QUANTUM GRAVITY [PDF]

Reviews in Mathematical Physics, 2013
We study the state-sum models of quantum gravity based on a representation 2-category of the Poincare 2-group. We call them spin-cube models, since they are categorical generalizations of spin-foam models.
A. Miković
semanticscholar   +5 more sources

Spin Foam Models of Quantum Gravity [PDF]

Mathematical, Theoretical and Phenomenological Challenges Beyond the Standard Model, 2004
We give a short review of the spin foam models of quantum gravity, with an emphasis on the Barret-Crane model. After explaining the shortcomings of the Barret-Crane model, we briefly discuss two new approaches, one based on the 3d spin foam state sum ...
A. Miković
semanticscholar   +4 more sources

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 Schwarzschild geometry in effective field theory models of gravity [PDF]

Physical Review D, 2023
The Schwarzschild geometry is investigated within the context of effective-field-theory models of gravity. Starting from its harmonic-coordinate expression, we derive the metric in standard coordinates by keeping the leading one-loop quantum ...
Emmanuele Battista
semanticscholar   +3 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.
Bittner, E., Hauke, A., Holm, C., Janke, W., Markum, H., Riedler, J.   +5 more
core   +5 more sources

Quantum Cosmology of Generalized Two--Dimensional Dilaton Gravity Models [PDF]

Physical Review D, 1995
The quantum cosmology of two-dimensional dilaton-gravity models is investigated. A class of models is mapped onto the constrained oscillator-ghost-oscillator model.
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
core   +6 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 ...
Alekseev A, Ambjørn J, Arnsdorf M, Baez J C, Baez J C, Baez J C, Baez J C, Baez J C, Barrett J W, Barrett J W, Barrett J W, Bojowald M, Capovilla R, Capovilla R, Carter J S, Christensen J D, Crane L, David C Tsang, Griffiths R B, J Daniel Christensen, John C Baez, Kauffman L, Livine R, Loll R, Metropolis N, Omnès R, Ooguri H, Oriti D, Perez A, Perez A, Ponzano G, Reisenberger M, Thomas R Halford, Turaev V, Yetter D N   +34 more
core   +9 more sources

Clocks and dynamics in quantum models of gravity [PDF]

Classical and Quantum Gravity, 2016
We investigate how the quantum dynamics of gravitational models depends on the internal clock employed in quantisation. Our previous result on the quantum Friedmann–Lemaitre model (Małkiewicz 2015 What is dynamics in quantum gravity?
P. Małkiewicz
semanticscholar   +6 more sources

Towards the map of quantum gravity [PDF]

General Relativity and Gravitation, 2018
In this paper we point out some possible links between different approaches to quantum gravity and theories of the Planck scale physics. In particular, connections between Loop Quantum Gravity, Causal Dynamical Triangulations, Ho\v{r}ava-Lifshitz gravity,
Mielczarek, Jakub, Trześniewski, Tomasz
core   +4 more sources

Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity [PDF]

Living Reviews in Relativity, 2022
We review recent developments in Jackiw–Teitelboim gravity. This is a simple solvable model of quantum gravity in two dimensions (that arises e.g. from the s-wave sector of higher dimensional gravity systems with spherical symmetry).
T. Mertens, G. Turiaci
semanticscholar   +1 more source