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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Items 401–451 of 451
Deformation quantization of Poisson manifolds, I
Kontsevich, M. (1997) · arXiv · doi:10.48550/arxiv.q-alg/9709040
Instability of Non-Commutative SYM Theories at Finite Temperature
Landsteiner, K., Lopez, E., & Tytgat, M. H. G. (2001) · arXiv · doi:10.48550/arxiv.hep-th/0104133
The CP(n) Model on Noncommutative Plane
Lee, B.-H., Lee, K., & Yang, H. S. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0007140
Non-commutative Soliton Scattering
Lindstrom, U., Rocek, M., & von Unge, R. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0008108
*-TREK: The One-Loop N=4 Noncommutative SYM Action
Liu, H., & Michelson, J. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0008205
Ramond-Ramond Couplings of Noncommutative D-branes
Liu, H., & Michelson, J. (2001) · arXiv · doi:10.48550/arxiv.hep-th/0104139
Supergravity Couplings of Noncommutative D-branes
Liu, H., & Michelson, J. (2001) · arXiv · doi:10.48550/arxiv.hep-th/0101016
Nielsen-Olesen vortices in noncommutative space
Lozano, G. S., Moreno, E. F., & Schaposnik, F. A. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0011205
Large N Limit of Non-Commutative Gauge Theories
Maldacena, J. M., & Russo, J. G. (1999) · arXiv · doi:10.48550/arxiv.hep-th/9908134
Chiral Gauge Anomalies on Noncommutative Minkowski Space-time
Martin, C. P. (2001) · arXiv · doi:10.48550/arxiv.hep-th/0102066
Compton scattering in Noncommutative Space-Time at the NLC
Mathews, P. (2000) · arXiv · doi:10.48550/arxiv.hep-ph/0011332
The IR/UV Connection in the Non-Commutative Gauge Theories
Matusis, A., Susskind, L., & Toumbas, N. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0002075
Noncommutativity in Space and Primordial Magnetic Field
Mazumdar, A., & Sheikh-Jabbari, M. M. (2000) · arXiv · doi:10.48550/arxiv.hep-ph/0012363
Generalized *-Products, Wilson Lines and the Solution of the Seiberg-Witten Equations
Mehen, T., & Wise, M. B. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0010204
Noncommutative Perturbative Dynamics
Minwalla, S., Raamsdonk, M. V., & Seiberg, N. (1999) · arXiv · doi:10.48550/arxiv.hep-th/9912072
Mocioiu, I., Pospelov, M., & Roiban, R. (2000) · arXiv · doi:10.48550/arxiv.hep-ph/0005191
The Wess-Zumino-Witten term in non-commutative two-dimensional fermion models
Moreno, E. F., & Schaposnik, F. A. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0002236
Wess-Zumino-Witten and fermion models in noncommutative space
Moreno, E. F., & Schaposnik, F. A. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0008118
Gauge-Invariant Couplings of Noncommutative Branes to Ramond-Ramond Backgrounds
Mukhi, S., & Suryanarayana, N. V. (2001) · arXiv · doi:10.48550/arxiv.hep-th/0104045
Myers, R. C. (1999) · arXiv · doi:10.48550/arxiv.hep-th/9910053
Nonabelian D-branes and Noncommutative Geometry
Myers, R. C. (2001) · arXiv · doi:10.48550/arxiv.hep-th/0106178
Trieste lectures on solitons in noncommutative gauge theories
Nekrasov, N. A. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0011095
Self-citationAn Exact Solution to Seiberg-Witten Equation of Noncommutative Gauge Theory
Okawa, Y., & Ooguri, H. (2001) · arXiv · doi:10.48550/arxiv.hep-th/0104036
How Noncommutative Gauge Theories Couple to Gravity
Okawa, Y., & Ooguri, H. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0012218
The one-loop effective action of noncommutative {\cal N}=4 super Yang-Mills is gauge invariant
Pernici, M., Santambrogio, A., & Zanon, D. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0011140
The Higgs Mechanism in Non-commutative Gauge Theories
Petriello, F. J. (2001) · arXiv · doi:10.48550/arxiv.hep-th/0101109
The Non-commutative Brane World
Pilo, L., & Riotto, A. (2000) · arXiv · doi:10.48550/arxiv.hep-ph/0012174
Dirichlet-Branes and Ramond-Ramond Charges
Polchinski, J. (1995) · arXiv · doi:10.48550/arxiv.hep-th/9510017
Flux tube solutions in noncommutative gauge theories
Polychronakos, A. P. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0007043
Noncommutative Gauge Theory, Divergences and Closed Strings
Rajaraman, A., & Rozali, M. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0003227
Half-strings, Projectors, and Multiple D-branes in Vacuum String Field Theory
Rastelli, L., Sen, A., & Zwiebach, B. (2001) · arXiv · doi:10.48550/arxiv.hep-th/0105058
Rieffel, M. A. (1997) · arXiv · doi:10.48550/arxiv.quant-ph/9712009
Gauge Invariant Correlators in Non-Commutative Gauge Theory
Rozali, M., & Raamsdonk, M. V. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0012065
Comments on the renormalizability of the Broken Phase in Noncommutative Scalar Field Theory
Sarkar, S., & Sathiapalan, B. (2001) · arXiv · doi:10.48550/arxiv.hep-th/0104106
Schaefer, T., & Shuryak, E. (1996) · arXiv · doi:10.48550/arxiv.hep-ph/9610451
String field theory at large B-field and noncommutative geometry
Schnabl, M. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0010034
D-branes and Deformation Quantization
Schomerus, V. (1999) · arXiv · doi:10.48550/arxiv.hep-th/9903205
Morita equivalence and duality
Schwarz, A. (1998) · arXiv · doi:10.48550/arxiv.hep-th/9805034
Noncommutative instantons: a new approach
Schwarz, A. (2001) · arXiv · doi:10.48550/arxiv.hep-th/0102182
Space/Time Non-Commutativity and Causality
Seiberg, N., Susskind, L., & Toumbas, N. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0005015
Seiberg, N., Susskind, L., & Toumbas, N. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0005040
Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
Seiberg, N., & Witten, E. (1994) · arXiv · doi:10.48550/arxiv.hep-th/9407087
Tachyon Condensation on the Brane Antibrane System
Sen, A. (1998) · arXiv · doi:10.48550/arxiv.hep-th/9805170
Open Strings in a B-field Background as Electric Dipoles
Sheikh-Jabbari, M. M. (1999) · arXiv · doi:10.48550/arxiv.hep-th/9901080
D-branes and the noncommutative torus
Douglas, M. R., & Hull, C. (1998) · Journal of High Energy Physics · doi:10.1088/1126-6708/1998/02/008
Self-citationA twisted model for large N lattice gauge theory
Gonzalez-Arroyo, A., & Okawa, M. (1983) · Physics Letters B · doi:10.1016/0370-2693(83)90647-0
Phase structure of non-commutative scalar field theories
Gubser, S. S., & Sondhi, S. L. (2001) · Nuclear Physics B · doi:10.1016/s0550-3213(01)00108-0
Noncommutative solitons: moduli spaces, quantization, finite θ effects and stability
Hadasz, L., Rocek, M., Lindström, U., & von Unge, R. (2001) · Journal of High Energy Physics · doi:10.1088/1126-6708/2001/06/040
Flagged first, then by citations
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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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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