Simplifying the spectral analysis of the volume operator
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The spectrum of the volume operator is discrete.
“The spectrum of the volume operator is also discrete [344, 329, 258, 34].”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [258]
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“This is also sensible from a physical point of view, since the condition should be independent of the regularization (for example, the version of the area operator corresponding to a pure Laplacian [10,20] obviously fulfills (4.1), but coincides with other discretized forms of the area to lowest order in the lattice s…”
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Self-citation
Flagged first, then by citations
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- Authors
- Loll, R.
- Affiliations
- Max Planck Society (DE)
- Corresponding author
- Loll, R.
- ORCID
- Loll, R.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1997-09
- Volume
- 500
- Issue
- 1-3
- Pages
- 405-420
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2141781344
- Cited by
- 27
- References
- 39
- Citations by year
- 2015: 1 · 2014: 1 · 2013: 1 · 2012: 1
- FWCI
- 1.54
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nuclear Physics B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion, other-oa)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Utrecht University Repository (Utrecht University) (submittedVersion, other-oa)
- Max Planck Institute for Plasma Physics (submittedVersion)
- Max Planck Digital Library (submittedVersion, other-oa)
- 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 › Mathematics › Mathematical Physics › Advanced Operator Algebra Research
- Keywords
- volume operator, spectral analysis, quantum gravity, canonical quantum gravity, cubic lattice, irreducible representations, Hilbert space decomposition
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