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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 201–400 of 451
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Magnetic fields, branes and noncommutative geometry
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The Noncommutative Supersymmetric Nonlinear Sigma Model
Girotti, H. O., Gomes, M., Rivelles, V. O., & da Silva, A. J. (2001) · arXiv · doi:10.48550/arxiv.hep-th/0102101
Hamiltonian Formalism for Space-time Non-commutative Theories
Gomis, J., Kamimura, K., & Llosa, J. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0006235
Space-Time Noncommutative Field Theories And Unitarity
Gomis, J., & Mehen, T. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0005129
On Noncommutative Multi-solitons
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Gopakumar, R., Maldacena, J., Minwalla, S., & Strominger, A. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0005048
OM Theory in Diverse Dimensions
Gopakumar, R., Minwalla, S., Seiberg, N., & Strominger, A. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0006062
Hard Non-commutative Loops Resummation
Griguolo, L., & Pietroni, M. (2001) · arXiv · doi:10.48550/arxiv.hep-th/0102070
Wilsonian Renormalization Group and the Non-Commutative IR/UV Connection
Griguolo, L., & Pietroni, M. (2001) · arXiv · doi:10.48550/arxiv.hep-th/0104217
Dynamics of Strings in Noncommutative Gauge Theory
Gross, D. J., & Nekrasov, N. A. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0007204
Self-citationMonopoles and Strings in Noncommutative Gauge Theory
Gross, D. J., & Nekrasov, N. A. (2000) · arXiv · doi:10.48550/arxiv.hep-th/0005204
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Quantum Hall Transition in the Classical Limit
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Open Branes in Space-Time Non-Commutative Little String Theory
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D-branes and Strings as Non-commutative Solitons
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Noncommutative Tachyons and K-Theory
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Non-Commutative Yang-Mills and the AdS/CFT Correspondence
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Traveling Faster than the Speed of Light in Non-Commutative Geometry
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Fluxons and Exact BPS Solitons in Non-Commutative Gauge Theory
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Quantum Hall Physics = Noncommutative Field Theory
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Signals for Non-Commutative Interactions at Linear Colliders
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Noncommutative Gauge Theories in Matrix Theory
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Wilson Loops in Noncommutative Yang Mills
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A Large-N Reduced Model as Superstring
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Nielsen-Olesen Vortices in Noncommutative Abelian Higgs Model
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Construction of non-Abelian gauge theories on noncommutative spaces
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Noncommutative gauge theory for Poisson manifolds
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Wilsonian Effective Actions and the IR/UV Mixing in Noncommutative Gauge Theories
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UV/IR Mixing in Noncommutative Field Theory via Open String Loops
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UV/IR connection, a matrix perspective
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BPS states on noncommutative tori and duality
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Compactification of M(atrix) theory on noncommutative toroidal orbifolds
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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
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.
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