The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Quantum tetrahedra and simplicial spin networks
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“The basic idea behind the definition was that of the quantum tetrahedron introduced by Barbieri in [58] and generalized to 4D in [40].”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [58]
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Citations
Cites
General relativity without coordinates
Regge, T. (1961) · Il Nuovo Cimento · doi:10.1007/bf02733251 · Cited by 1,477
State sum invariants of 3-manifolds and quantum 6j-symbols
Turaev, V. G., & Viro, O. Y. (1992) · Topology · doi:10.1016/0040-9383(92)90015-a · Cited by 1,145
New Hamiltonian formulation of general relativity
Ashtekar, A. (1987) · Physical Review D · doi:10.1103/physrevd.36.1587 · Cited by 1,119
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
Projective techniques and functional integration for gauge theories
Ashtekar, A., & Lewandowski, J. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531037 · Cited by 388
Quantum gravity and Regge calculus
Immirzi, G. (1997) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(97)00354-x · Cited by 287
Geometry eigenvalues and the scalar product from recoupling theory in loop quantum gravity
De Pietri, R., & Rovelli, C. (1996) · Physical Review D · doi:10.1103/physrevd.54.2664 · Cited by 201
Causal evolution of spin networks
Markopoulou, F., & Smolin, L. (1997) · Nuclear Physics B · doi:10.1016/s0550-3213(97)80019-3 · Cited by 134
Holonomy and path structures in general relativity and Yang-Mills theory
Barrett, J. W. (1991) · International Journal of Theoretical Physics · doi:10.1007/bf00671007 · Cited by 119
Generalized Wick transform for gravity
Ashtekar, A. (1996) · Physical Review D · doi:10.1103/physrevd.53.r2865 · Cited by 47
Moduli-space structure of knots with intersections
Grot, N., & Carlo Rovelli, C. (1996) · Journal of Mathematical Physics · doi:10.1063/1.531527 · Cited by 42
A combinatorial approach to diffeomorphism invariant quantum gauge theories
Zapata, J. A. (1997) · Journal of Mathematical Physics · doi:10.1063/1.532159 · Cited by 32
Research works printed but not linked: 6
- Ashtekar, 1995, J. Math. Phys., 36, 6465
- F. Markopoulou, Dual formulation of spin network evolution, preprint available as gr-gc/9704013.
- Markopoulou, 1997, Nucl. Phys. B, 508, 409, 10.1016/S0550-3213(97)00488-4 · DOI · Paper page
- J.W. Barrett, L. Crane, Relativistic Spin Networks and Quantum Gravity, preprint available as grgc/9709028.
- L. Crane and D.N. Yetter, On the classical limit of the balanced state sum, preprint available as grgc/9712087.
- L. Smolin, Strings as perturbation of evolving spin-networks, preprint available as gr-
Cited by
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The Spin-Foam Approach to Quantum Gravity
Perez, A. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-3 · Cited by 677
A new spin foam model for 4D gravity
Freidel, L., & Krasnov, K. (2008) · Classical and Quantum Gravity · doi:10.1088/0264-9381/25/12/125018 · Cited by 521
Relativistic spin networks and quantum gravity
Barrett, J. W., & Crane, L. (1998) · Journal of Mathematical Physics · doi:10.1063/1.532254 · Cited by 404
New spinfoam vertex for quantum gravity
Livine, E. R., & Speziale, S. (2007) · Physical Review D · doi:10.1103/physrevd.76.084028 · Cited by 401
Twisted geometries: A geometric parametrization of SU(2) phase space
Freidel, L., & Simone Speziale, D. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.82.084040 · Cited by 282
Metadata
- Authors
- Barbieri, A.
- Affiliations
- Istituto Nazionale di Fisica Nucleare, Sezione di Pisa (IT)
- Corresponding author
- Barbieri, A.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1998-05
- Volume
- 518
- Issue
- 3
- Pages
- 714-728
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2088528909
- Cited by
- 113
- References
- 12
- Citations by year
- 2026: 1 · 2024: 5 · 2023: 4 · 2022: 8 · 2021: 5 · 2020: 3 · 2019: 7 · 2018: 7 · 2017: 3 · 2016: 8 · 2015: 4 · 2014: 6 · 2013: 6 · 2012: 4
- FWCI
- 3.42
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nuclear Physics B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy 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
- SU(2) representations, unitary irreducible representations, uncertainty relations, quantum gauge theory, loop representation, gauge invariance, diffeomorphism invariance
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