The DOI matches its Crossref record; 451 of the 451 references it cites were found in a registry or an index.
Noncommutative field theory
Open accessAbstract
This article reviews the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory and to describe quantum Hall states. In the last few years they have been studied intensively, and many qualitatively new phenomena have been discovered, on both the classical and the quantum level.
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“Other high energy models of spacetime structure, such as non-commutative field theory, do however explicitly contain Lorentz violation [98].”
From Modern Tests of Lorentz Invariance (2005) · cites this paper as [98]
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Cites
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524
The Large N Limit of Superconformal Field Theories and SupergravityPreprint
Maldacena, J. (1998) · Cited by 12,247
The Large N Limit of Superconformal Field Theories and Supergravity
Maldacena, J. M. (1997) · arXiv · doi:10.48550/arxiv.hep-th/9711200 · Cited by 6,821
Large N field theories, string theory and gravity
Ofer Aharony, A., Gubser, S. S., MALDACENA, J. M., Ooguri, H., & Oz, Y. (2000) · Physics Reports · doi:10.1016/s0370-1573(99)00083-6 · Cited by 6,395
Solitons, Nonlinear Evolution Equations and Inverse Scattering
Ablowitz, M. A., & Clarkson, P. A. (1991) · Cambridge University Press eBooks · doi:10.1017/cbo9780511623998 · Cited by 6,115
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
Laughlin, R. B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.1395 · Cited by 5,749
A planar diagram theory for strong interactions
Hooft, G. '. (1974) · Nuclear Physics B · doi:10.1016/0550-3213(74)90154-0 · Cited by 4,476
Nathan Seiberg, B., & Witten, E. (1994) · Nuclear Physics B · doi:10.1016/0550-3213(94)90124-4 · Cited by 3,737
String Theory and Noncommutative GeometryPreprint
Seiberg, N., & Witten, E. H. (1999) · Cited by 3,162
M theory as a matrix model: A conjecture
Banks, T., Fischler, W., Shenker, S. H., & Susskind, L. (1997) · Physical Review D · doi:10.1103/physrevd.55.5112 · Cited by 2,748
Research works printed but not linked: 65
- 2000b, Phys. Lett. B, 504, 165
- 2001, J. High Energy Phys., 04, 001
- 1999, J. High Energy Phys., 09, 023
- 1999, J. High Energy Phys., 11, 029
- 2000, J. High Energy Phys., 06, 038
- 2000, J. High Energy Phys., 01, 028
- 1978, Phys. Lett., 65A, 185
- 2000, J. High Energy Phys., 10, 026
- 2001, J. High Energy Phys., 05, 002
- 1976, Sov. J. Nucl. Phys., 24, 449
- 1999, J. High Energy Phys., 02, 004
- 2001, Mod. Phys. Lett. A, 16, 179
- 2000, J. High Energy Phys., 05, 037
- 1980, C.R. Seances Acad. Sci., Ser. A, 290, 599
- 1998, J. High Energy Phys., 02, 003
- 1978, Phys. Lett., 76B, 409
- 2000, J. High Energy Phys., 05, 028
- 2001, J. High Energy Phys., 02, 046
- 2000, J. High Energy Phys., 06, 022
- 2001a, J. High Energy Phys., 02, 004
- 1998, J. High Energy Phys., 02, 008
- 1983, Phys. Lett., 122B, 59
- 2000, J. High Energy Phys., 10, 011
- 2000, J. High Energy Phys., 05, 008
- 2000, J. High Energy Phys., 05, 024
- 2000, J. High Energy Phys., 06, 032
- 1985, Phys. Lett., 163B, 123
- 2000, J. High Energy Phys., 08, 011
- 1983, Phys. Lett., 131B, 396
- 2000, J. High Energy Phys., 06, 036
- 2000, J. High Energy Phys., 08, 008
- 2000, J. High Energy Phys., 05, 020
- 2000a, J. High Energy Phys., 10, 021
- 2000b, J. High Energy Phys., 07, 034
- 2001, J. High Energy Phys., 03, 044
- 2001, J. High Energy Phys., 03, 034
- 2000, J. High Energy Phys., 12, 024
- 2000, J. High Energy Phys., 07, 042
- 2000, J. High Energy Phys., 12, 023
- 2000, J. High Energy Phys., 09, 018
- 2001, J. High Energy Phys., 01, 026
- 1985, Physica B, 126, 254
- 2000, J. High Energy Phys., 12, 004
- 1999, J. High Energy Phys., 09, 025
- 2001, Mod. Phys. Lett. A, 16, 311
- 2000, J. High Energy Phys., 12, 002
- 2000, J. High Energy Phys., 12, 008
- 2000, J. High Energy Phys., 02, 020
- 1977, Phys. Lett., 72B, 117
- 2000, J. High Energy Phys., 03, 032
- 1999, J. High Energy Phys., 12, 022
- 1980, Phys. Lett., 90B, 413
- 1976, Invent. Math., 31, 93
- 2001, J. High Energy Phys., 03, 015
- 2001, J. High Energy Phys., 04, 011
- 2000, J. High Energy Phys., 04, 033
- 2000, J. High Energy Phys., 11, 031
- 1999, J. High Energy Phys., 06, 030
- 2000, J. High Energy Phys., 09, 003
- 2000a, J. High Energy Phys., 06, 044
- 2000b, J. High Energy Phys., 06, 021
- 1999, J. High Energy Phys., 09, 032
- 1998, J. High Energy Phys., 9808, 012
- 2000, Phys. Rev. B, 62, 2008
- 2000, J. High Energy Phys., 03, 035
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Extremely high-intensity laser interactions with fundamental quantum systems
PIAZZA, A. D., Müller, C., Hatsagortsyan, K. Z., & Keitel, C. H. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.1177 · Cited by 1,733
Quantum field theory on noncommutative spaces
Szabo, R. J. (2003) · Physics Reports · doi:10.1016/s0370-1573(03)00059-0 · Cited by 1,805
Modern Tests of Lorentz Invariance
Mattingly, D. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-5 · Cited by 1,061
Quantum-Spacetime Phenomenology
Giovanni Amelino-camelia, A. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-5 · Cited by 886
Minimal Length Scale Scenarios for Quantum Gravity
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Metadata
- Authors
- Douglas, M., & Nekrasov, N.
- Affiliations
- Rutgers, The State University of New Jersey (US)
- Institute for Theoretical and Experimental Physics (RU)
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 2001-11
- Volume
- 73
- Issue
- 4
- Pages
- 977-1029
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- OpenAlex
- W1974665356
- Semantic Scholar
- ff829c1cab7a67ce29a3e6216b9b516d6929750f
- Cited by
- 2,096
- References
- 289
- Citations by year
- 2026: 27 · 2025: 46 · 2024: 60 · 2023: 58 · 2022: 49 · 2021: 37 · 2020: 40 · 2019: 66 · 2018: 63 · 2017: 68 · 2016: 84 · 2015: 63 · 2014: 86 · 2013: 85 · 2012: 91
- FWCI
- 89.23
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Reviews of Modern Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Mathematics › Mathematical Physics › Advanced Operator Algebra Research
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- noncommutative field theory, noncommutative spacetime, M-theory, string theory, quantum Hall states, noncommutative geometry, classical field theory, quantum field theory
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