Loop space representation of quantum general relativity and the group of loops
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The same technique gives rigorous meaning to other operators, including the length of a curve, Poincaré generators for asymptotically flat topologies, and matter contributions to the Hamiltonian constraint.
“Using the same technique one can give rigorous meaning to a whole bunch of other operators in a representation where the metric is not diagonal, including but not exhausting: (i) the operator corresponding to the length of a curve [19]; (ii) the generators of the Poincaré group for asymptotically flat topologies [22] and (iii) matter contributions to the Hamiltonian constraint [23].”
From Quantum spin dynamics (QSD) (1998) · cites this paper as [22]
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References 23 · Cited by 78
- Authors
- Gambini, R.
- Affiliations
- Universidad de la República de Uruguay (UY)
- Corresponding author
- Gambini, R.
- ORCID
- Gambini, R.
- Venue
- Physics Letters B
- Publisher
- Elsevier BV
- Published
- 1991-02
- Volume
- 255
- Issue
- 2
- Pages
- 180-188
- ISSN
- 0370-2693 (ISSN-L)
- OpenAlex
- W2031262310
- Cited by
- 78
- References
- 23
- Citations by year
- 2021: 1 · 2019: 1 · 2016: 1 · 2015: 3 · 2014: 1 · 2013: 2 · 2012: 2
- FWCI
- 8.28
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physics Letters B (publishedVersion)
- 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
- loop representation, quantum general relativity, loop groups, constraints, physical states, non-perturbative quantum gravity, diffeomorphism invariance
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