ON THE CONSISTENCY OF THE CONSTRAINT ALGEBRA IN SPIN NETWORK QUANTUM GRAVITY
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We point out several features of the quantum Hamiltonian constraints recently introduced by Thiemann for Euclidean gravity. In particular we discuss the issue of the constraint algebra and of the quantum realization of the object q ab V b, which is classically the Poisson Bracket of two Hamiltonians.
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Thiemann [7] has a concrete proposal for realizing in the loop representation the operator corresponding to the metric divided by the determinant.
“Thiemann [7] has a concrete proposal for realizing in the loop representation the operator corresponding to the metric divided by the determinant.”
From Nonstandard optics from quantum space-time (1999) · cites this paper as [7]
The operators w_a acting on spin network states are finite and only give contributions at intersections.
“The only feature we will need of these operators is that acting on spin network states they are finite and only give contributions at intersections.”
From Nonstandard optics from quantum space-time (1999) · cites this paper as [7]
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Determination of the suitability of igneous rocks of Uzbekistan for obtaining basalt melt
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- Authors
- GAMBINI, R., LEWANDOWSKI, J., MAROLF, D., & PULLIN, J.
- Affiliations
- Universidad de la República de Uruguay (UY)
- Max Planck Institute for Gravitational Physics (DE)
- Syracuse University (US)
- Pennsylvania State University (US)
- Venue
- International Journal of Modern Physics D
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 1998-02
- Volume
- 07
- Issue
- 01
- Pages
- 97-109
- ISSN
- 0218-2718 (ISSN-L)
- 1793-6594
- OpenAlex
- W2034561929
- Cited by
- 77
- References
- 6
- Citations by year
- 2024: 4 · 2023: 2 · 2021: 2 · 2020: 1 · 2019: 1 · 2018: 1 · 2017: 1 · 2016: 4 · 2015: 3 · 2014: 2 · 2013: 6 · 2012: 9
- FWCI
- 3.70
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- International Journal of Modern Physics D (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Civil War Book Review (submittedVersion)
- Max Planck Institute for Plasma Physics (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- spin networks, quantum gravity, constraint algebra, Hamiltonian constraint, Euclidean gravity, Poisson brackets
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