The Hamiltonian constraint in quantum gravity
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The definition of the commutator can be extended to arbitrary polynomials of operators.
“As shown in [20], this definition can be extended to an arbitrary polynomial of operators.”
From Quantum spin dynamics (QSD) (1998) · cites this paper as [20]
The number is independent of ε1 and ε2, so synchronization ε1=ε2 is unnecessary.
“Even more is true: also [20]) so that we do not need to synchronize 1 = 2 .”
From Quantum spin dynamics (QSD) (1998) · cites this paper as [20]
To include more generalized solutions, a new scalar product must be constructed.
“However, in order to incorporate more (generalized) solutions one has to construct a new scalar product [20].”
From Quantum spin dynamics (QSD) (1998) · cites this paper as [20]
This expectation is correct, as will be shown in [20].
“This expectation turns out to be correct as we will show in [20].”
From Quantum spin dynamics (QSD) (1998) · cites this paper as [20]
Cites
2 + 1 dimensional gravity as an exactly soluble system
Witten, E. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90143-5 · Cited by 2,562 · see citing works
Gravitation, an introduction to current research
Sewell, G. L. (1963) · Journal of the Franklin Institute · doi:10.1016/0016-0032(63)90691-4 · Cited by 2,050 · see citing works
Loop space representation of quantum general relativity
Rovelli, C., & Smolin, L. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90019-a · Cited by 806 · see citing works
Exactly soluble diffeomorphism invariant theories
Horowitz, G. T. (1989) · Communications in Mathematical Physics · doi:10.1007/bf01218410 · Cited by 472 · see citing works
Quantum electrodynamics without potentials
Mandelstam, S. (1962) · Annals of Physics · doi:10.1016/0003-4916(62)90232-4 · Cited by 466 · see citing works
Knot Theory and Quantum Gravity
Rovelli, C., & Smolin, L. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.1155 · Cited by 463 · see citing works
Nonperturbative quantum geometries
Jacobson, T., & Smolin, L. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90286-6 · Cited by 283 · see citing works
Quantum chromodynamics as dynamics of loops
Makeenko, Y. M., & Migdal, A. (1981) · Nuclear Physics B · doi:10.1016/0550-3213(81)90258-3 · Cited by 227 · see citing works
2+1 quantum gravity as a toy model for the 3+1 theory
Ashtekar, A., Husain, V, Rovelli, C., Samuel, J., & Smolin, L. (1989) · Classical and Quantum Gravity · doi:10.1088/0264-9381/6/10/001 · Cited by 165 · see citing works
Exact quantum scattering in 2 + 1 dimensional gravity
Carlip, S. (1989) · Nuclear Physics B · doi:10.1016/0550-3213(89)90183-1 · Cited by 153 · see citing works
Isham, C. J., & Kakas, A. C. (1984) · Classical and Quantum Gravity · doi:10.1088/0264-9381/1/6/008 · Cited by 95 · see citing works
Isham, C. J., & Kakas, A. C. (1984) · Classical and Quantum Gravity · doi:10.1088/0264-9381/1/6/009 · Cited by 68 · see citing works
A lattice approach to spinorial quantum gravity
Renteln, P., & Smolin, L. (1989) · Classical and Quantum Gravity · doi:10.1088/0264-9381/6/3/009 · Cited by 53 · see citing works
Observables in 2+1 dimensional gravity
Martin, S. P. (1989) · Nuclear Physics B · doi:10.1016/0550-3213(89)90291-5 · Cited by 50 · see citing works
Intersecting-loop solutions of the hamiltonian constraint of quantum general relativity
Husain, V. (1989) · Nuclear Physics B · doi:10.1016/0550-3213(89)90403-3 · Cited by 40 · see citing works
Chern-Simons and palatini actions and (2+1)-gravity
Ashtekar, A., & Romano, J. D. (1989) · Physics Letters B · doi:10.1016/0370-2693(89)90155-x · Cited by 39 · see citing works
Yang-Mills theory and general relativity in three and four dimensions
Bengtsson, I. (1989) · Physics Letters B · doi:10.1016/0370-2693(89)90012-9 · Cited by 36 · see citing works
Some results of SU(2) spinorial lattice gravity
Renteln, P. (1990) · Classical and Quantum Gravity · doi:10.1088/0264-9381/7/3/023 · Cited by 23 · see citing works
Hermitian operators on quantum general relativity loop space
Rayner, D. (1990) · Classical and Quantum Gravity · doi:10.1088/0264-9381/7/4/018 · Cited by 17 · see citing works
A formalism for quantising general relativity using non-local variables
Rayner, D. A. J. (1990) · Classical and Quantum Gravity · doi:10.1088/0264-9381/7/1/016 · Cited by 15 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
On the constraints of quantum gravity in the loop representation
Brügmann, B., & Pullin, J. (1993) · Nuclear Physics B · doi:10.1016/0550-3213(93)90462-x · Cited by 40 · see citing works
Hermitian operators on quantum general relativity loop space
Rayner, D. (1990) · Classical and Quantum Gravity · doi:10.1088/0264-9381/7/4/018 · Cited by 17 · see citing works
- Authors
- Blencowe, M. P.
- Affiliations
- University of Cambridge (GB)
- Corresponding author
- Blencowe, M.P.
- ORCID
- Blencowe, M.P.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1990-09
- Volume
- 341
- Issue
- 1
- Pages
- 213-251
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2039164696
- Cited by
- 53
- References
- 20
- Citations by year
- 2019: 1 · 2012: 1
- FWCI
- 5.48
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Nuclear Physics 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
- Hamiltonian constraint, loop quantum gravity, Hamiltonian operator, topological field theory, renormalization, regularization
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
