New constraints for canonical general relativity
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Spin foams also arise naturally in lattice gauge theory, where the problems of canonical quantum gravity are absent.
“It is reassuring therefore that spin foams also arise naturally in lattice gauge theory, where these problems are absent.”
From Spin foam models (1998) · cites this paper as [48]
In many lattice gauge theories, the time evolution operator can be computed as a sum of spin foam operators weighted by amplitudes that factor into vertex, edge, and face amplitudes.
“In a wide variety of lattice gauge theories, the time evolution operator can be computed as a sum of spin foam operators, weighted by amplitudes computed as a product of vertex, edge, and face amplitudes.”
From Spin foam models (1998) · cites this paper as [48]
A path integral in lattice gauge theory can be represented as a sum over spin foams living in the lattice.
“The basic idea, due to Iwasaki [32] and Reisenberger [48], is that a path integral in lattice gauge theory can be represented as a sum over spin foams living in the lattice.”
From Spin foam models (1998) · cites this paper as [48]
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References 19 · Cited by 36
Research works printed but not linked: 4
- [ADM62] R. Arnowitt, S. Deser, and C. W. Misner. The dynamics of general relativity. In L. Witten, editor, Gravitation. An introduction to current research , page 227, New York, 1962. Wiley.
- [AL94] A. Ashtekar and J. Lewandowski. Representation theory of analytic holonomy C ∗ algebras. In J. Baez, editor, Knots and quantum gravity . Oxford U. Press, 1994. Also available as grqc 9311010.
- [Ash91] A. Ashtekar. Lectures on non-perturbative canonical gravity . World Scientific, Singapore, 1991.
- [PR84] R. Penrose and W. Rindler. Spinors and space-time , volume 1. Cambridge University Press, Cambridge, 1984.
- Authors
- Reisenberger, M. P.
- Affiliations
- Utrecht University (NL)
- Corresponding author
- Reisenberger, Michael P.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1995-12
- Volume
- 457
- Issue
- 3
- Pages
- 643-687
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2058481901
- Cited by
- 36
- References
- 19
- Citations by year
- 2026: 1 · 2023: 1 · 2019: 2 · 2016: 3 · 2015: 1 · 2012: 3
- FWCI
- 2.63
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nuclear Physics B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (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
- canonical general relativity, Ashtekar variables, loop representation, quantum gravity, second-class constraints, causality condition
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