The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
The dual of pure non-Abelian lattice gauge theory as a spin foam model
Open accessOverview
Integrity signals
Registry
Cites
Statistics
Verification
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?
BF amplitudes are independent of the regulating triangulation, and with suitable regularization of bubble divergences the BF partition function is topologically invariant and discretization independent.
“using this graphical notation one can easily prove the discretization independence of the BF amplitudes.”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [291]
Citations
Cites
Wilson, K. G. (1974) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.10.2445 · Cited by 4,580
Statistics of the Two-Dimensional Ferromagnet. Part I
Kramers, H. A., & Wannier, G. H. (1941) · Physical Review · doi:10.1103/physrev.60.252 · Cited by 1,819
Phase transitions in Abelian lattice gauge theories
Banks, T., Myerson, R. J., & Kogut, J. B. (1977) · Nuclear Physics B · doi:10.1016/0550-3213(77)90129-8 · Cited by 705
Duality in field theory and statistical systems
Savit, R. S. (1980) · Reviews of Modern Physics · doi:10.1103/revmodphys.52.453 · Cited by 619
Mandelstam-'t Hooft duality in abelian lattice models
Peskin, M. E. (1978) · Annals of Physics · doi:10.1016/0003-4916(78)90252-x · Cited by 549
Baez, J. C. (1998) · Classical and Quantum Gravity · doi:10.1088/0264-9381/15/7/004 · Cited by 381
“Sum over surfaces” form of loop quantum gravity
Reisenberger, M. P., & Rovelli, C. (1997) · Physical Review D · doi:10.1103/physrevd.56.3490 · Cited by 372
Strong coupling and mean field methods in lattice gauge theories
Drouffe, J.-M. (1983) · Physics Reports · doi:10.1016/0370-1573(83)90034-0 · Cited by 349
Göpfert, M., & Mack, G. (1982) · Communications in Mathematical Physics · doi:10.1007/bf01961240 · Cited by 244
Existence proof of a nonconfining phase in four-dimensional U(1) lattice gauge theory
Guth, A. H. (1980) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.21.2291 · Cited by 205
Massless phases and symmetry restoration in abelian gauge theories and spin systems
Fröhlich, J. M., & Spencer, T. (1982) · Communications in Mathematical Physics · doi:10.1007/bf01213610 · Cited by 185
Soliton quantization in lattice field theories
Fröhlich, J. M., & Marchetti, P. A. (1987) · Communications in Mathematical Physics · doi:10.1007/bf01217817 · Cited by 113
Monopole condensate and monopole mass in U(1) lattice gauge theory
Polley, L., & Wiese, U. ‐. (1991) · Nuclear Physics B · doi:10.1016/0550-3213(91)90380-g · Cited by 77
Magnetic Monopoles and Charged States in Four-Dimensional, Abelian Lattice Gauge Theories
Fröhlich, J. M., & Marchetti, P. A. (1986) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/2/12/008 · Cited by 64
Plaquette formulation and the Bianchi identity for lattice gauge theories
Batrouni, G. G. (1982) · Nuclear Physics B · doi:10.1016/0550-3213(82)90231-0 · Cited by 55
Dual of 3-dimensional pure SU (2) lattice gauge theory and the Ponzano-Regge model
Anishetty, R., Cheluvaraja, S., Sharatchandra, H. S., & Mathur, M. (1993) · Physics Letters B · doi:10.1016/0370-2693(93)91254-k · Cited by 45
A definition of the Ponzano–Regge quantum gravity model in terms of surfacesa)
Iwasaki, J. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531245 · Cited by 43
Generalized dual symmetry for non-Abelian Yang-Mills fields
Hong-Mo, C., Faridani, J., & Tsun, T. S. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.53.7293 · Cited by 43
Scaling analysis of the magnetic monopole mass and condensate in the pure U(1) lattice gauge theory
Jersák, J., Neuhaus, T., & Pfeiffer, H. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.60.054502 · Cited by 35
Self-citationAn Introduction to Spin Foam Models of Quantum Gravity and BF TheoryPreprint
Baez, J. C. (1999) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/9905087 · Cited by 14
Wilson loops, Bianchi constraints and duality in abelian lattice models
Jaimungal, S. (1999) · Nuclear Physics B · doi:10.1016/s0550-3213(98)00808-6 · Cited by 3
Flagged first, then by citations
Research works printed but not linked: 1
- H. Grosse, K.-G. Schlesinger, Duals for non-Abelian lattice gauge theories by categorial methods, Erwin Schrödinger Institute preprint ESI 561, Vienna, 1998
Cited by
Sorted by citations
The Spin-Foam Approach to Quantum Gravity
Perez, A. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-3 · Cited by 677
Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity
Oriti, D. (2001) · Reports on Progress in Physics · doi:10.1088/0034-4885/64/12/203 · Cited by 201
The bond-algebraic approach to dualities
Cobanera, E., Ortíz, G., & Nussinov, Z. (2011) · Advances In Physics · doi:10.1080/00018732.2011.619814 · Cited by 165
Path integral representation of spin foam models of 4d gravity
Conrady, F., & Freidel, L. (2008) · Classical and Quantum Gravity · doi:10.1088/0264-9381/25/24/245010 · Cited by 98
Higher gauge theory and a non-Abelian generalization of 2-form electrodynamics
Pfeiffer, H. (2003) · Annals of Physics · doi:10.1016/s0003-4916(03)00147-7 · Cited by 67
Self-citationA numerical study of confinement in compact QED
Marco Panero, C. (2005) · Journal of High Energy Physics · doi:10.1088/1126-6708/2005/05/066 · Cited by 66
Bahr, B., Hellmann, F., Kamiński, W., Kisielowski, M., & Lewandowski, J. (2011) · Classical and Quantum Gravity · doi:10.1088/0264-9381/28/10/105003 · Cited by 63
Holonomy spin foam models: asymptotic geometry of the partition function
Hellmann, F., & Kamiński, W. (2013) · Journal of High Energy Physics · doi:10.1007/jhep10(2013)165 · Cited by 67
Spin foam model for pure gauge theory coupled to quantum gravity
Oriti, D., & Pfeiffer, H. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.66.124010 · Cited by 49
Self-citationA numerical study of confinement in compact QED
Marco Panero, C. (2005) · CERN Document Server (European Organization for Nuclear Research) · Cited by 45
Generalized lattice gauge theory, spin foams and state sum invariants
Oeckl, R. (2003) · Journal of Geometry and Physics · doi:10.1016/s0393-0440(02)00148-1 · Cited by 33
Self-citationSpin Foam Models with Finite Groups
Bähr, B., Dittrich, B., & Ryan, J. P. (2013) · Journal of Gravity · doi:10.1155/2013/549824 · Cited by 41
Spin foam models of matter coupled to gravity
Miković, A. R. (2002) · Classical and Quantum Gravity · doi:10.1088/0264-9381/19/9/301 · Cited by 32
Holonomy spin foam models: Asymptotic geometry of the partition function
Hellmann, F., & Kaminski, W. (2013) · MPG.PuRe (Max Planck Society) · Cited by 32
Lattice gauge theories and spin models
Mathur, M., & Sreeraj, T. P. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.94.085029 · Cited by 28
Dual computations of non-Abelian Yang-Mills theories on the lattice
Cherrington, J. W., Christensen, J. D., & Khavkine, I. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.094503 · Cited by 29
Gattringer, C., & Marchis, C. (2017) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2017.01.025 · Cited by 22
Dual variables and a connection picture for the Euclidean Barrett–Crane model
Pfeiffer, H. (2002) · Classical and Quantum Gravity · doi:10.1088/0264-9381/19/6/306 · Cited by 22
Self-citationGravitational Wilson loop in discrete quantum gravity
Hamber, H. W., & Williams, R. M. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.81.084048 · Cited by 25
Gauge networks in noncommutative geometry
Marcolli, M., & van Suijlekom, W. D. (2013) · Journal of Geometry and Physics · doi:10.1016/j.geomphys.2013.09.002 · Cited by 18
Quantum gravity vacuum and invariants of embedded spin networks
Mikovi, A. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/20/15/314 · Cited by 17
A dual algorithm for non-Abelian Yang–Mills coupled to dynamical fermions
Cherrington, J. W. (2007) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2007.11.006 · Cited by 12
A dual non-Abelian Yang–Mills amplitude in four dimensions
Cherrington, J. W., & Christensen, J. D. (2008) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2008.12.016 · Cited by 12
Flat spacetime vacuum in loop quantum gravity
Mikovi, A. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/16/006 · Cited by 12
Two-Dimensional State Sum Models and Spin Structures
Barrett, J. W., & Tavares, S. O. G. (2014) · Communications in Mathematical Physics · doi:10.1007/s00220-014-2246-z · Cited by 11
1 The dual of non-Abelian Lattice Gauge TheoryPreprint
Pfeiffer, H., & Oeckl, R. (2001) · Cited by 10
Self-citationFerreira, M. J. B., Jimenez, J. P. I., Padmanabhan, P., & Sobrinho, P. T. (2015) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/48/48/485206 · Cited by 11
The dual of non-Abelian Lattice Gauge Theory
Pfeiffer, H., & Oeckl, R. (2002) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(01)01913-2 · Cited by 8
Self-citationExact duality transformations for sigma models and gauge theories
Pfeiffer, H. (2003) · Journal of Mathematical Physics · doi:10.1063/1.1580071 · Cited by 8
Self-citationBorisenko, O., Voloshin, S., & Faber, M. (2009) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2009.02.008 · Cited by 8
Spinfoam Models for Quantum Gravity
Livine, E. R. (2024) · Elsevier eBooks · doi:10.1016/b978-0-323-95703-8.00253-6 · Cited by 15
Invited review: The new spin foam models and quantum gravity
Pérez, A. (2012) · Papers in Physics · doi:10.4279/pip.040004 · Cited by 18
Four-dimensional lattice gauge theory with ribbon categories and the Crane–Yetter state sum
Pfeiffer, H. (2001) · Journal of Mathematical Physics · doi:10.1063/1.1398063 · Cited by 7
Self-citationFour-dimensional Lattice Gauge Theory with ribbon categories and the Crane-Yetter state sum
Pfeiffer, H. (2001) · CERN Document Server (European Organization for Nuclear Research) · Cited by 6
Self-citationHnybida, J. (2016) · Classical and Quantum Gravity · doi:10.1088/0264-9381/33/20/205003 · Cited by 5
A solution to the non-Abelian duality problem
Cobanera, E., Ortíz, G., & Knill, E. H. (2013) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2013.10.018 · Cited by 5
A gauge-independent mechanism for confinement and mass gap: Part 1 — The general framework
Cherrington, J. W. (2010) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2010.03.007 · Cited by 5
Reduced Tensor Network Formulation for Non-Abelian Gauge Theories in Arbitrary Dimensions
Yosprakob, A. (2024) · Progress of Theoretical and Experimental Physics · doi:10.1093/ptep/ptae091 · Cited by 4
Higgs phases and boundary criticality
Chung, K. T. K., Flores-Calderón, R., Torres, R. C., Ribeiro, P., Moroz, S., & McClarty, P. (2025) · SciPost Physics · doi:10.21468/scipostphys.19.4.105 · Cited by 4
Fermion bag approach for the massive Thirring model at finite density
Li, D. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.94.114501 · Cited by 4
A gauge-independent mechanism for confinement and mass gap: Part 2. G=SU(2) and D=3
Cherrington, J. W. (2010) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2010.02.018 · Cited by 4
Delcamp, C., & Ishtiaque, N. (2025) · Annales Henri Poincaré · doi:10.1007/s00023-025-01591-x · Cited by 14
Yosprakob, A., & Okunishi, K. (2025) · Progress of Theoretical and Experimental Physics · doi:10.1093/ptep/ptaf028 · Cited by 3
Random surfaces and lattice Yang-Mills
Cao, S., Park, M.-K., & Sheffield⋆, S. (2025) · Communications of the American Mathematical Society · doi:10.1090/cams/59 · Cited by 6
Homotopy and duality in non-Abelian lattice gauge theory
Attal, R. (2004) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2004.01.025
Quantum cosmology in loop quantum gravity : 2-vertex spinfoam amplitudes and effective hamiltonians
Stagno, G. V. (2018) · theses.fr (ABES) · doi:10.70675/fe020c0czebdez43c2za92bz8181267db58f
Metadata
- Authors
- Oeckl, R., & Pfeiffer, H.
- Affiliations
- University of Cambridge (GB)
- Corresponding author
- Pfeiffer, Hendryk
- ORCID
- Oeckl, Robert
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 2001-03
- Volume
- 598
- Issue
- 1-2
- Pages
- 400-426
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2089080950
- Cited by
- 46
- References
- 21
- Citations by year
- 2025: 4 · 2024: 2 · 2018: 1 · 2017: 1 · 2016: 3 · 2015: 1 · 2014: 1 · 2013: 6 · 2012: 1
- FWCI
- 2.87
- 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 › Quantum Chromodynamics and Particle Interactions
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- non-Abelian lattice gauge theory, spin foam models, spin networks, Wilson loops, compact Lie groups, intertwiners, group characters, unitary representations, strong-weak coupling duality, partition function, statistical mechanics
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
