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.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
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?
In the citing paper
“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]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
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
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
Cited by
Sorted by citations
Items 701–800 of 999
Non-anticommutative ABJ theory
Faizal, M. (2013) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2012.12.018 · Cited by 17
LORENTZ VIOLATION IN THREE-FAMILY NEUTRINO OSCILLATION
YANG, S., & Ma, B.-Q. (2009) · International Journal of Modern Physics A · doi:10.1142/s0217751x09046382 · Cited by 17
Embedding commutative and noncommutative theories in the symplectic framework
Neves, C., Oliveira, W., Rodrigues, D. C., et al. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.69.045016 · Cited by 17
QUANTUM TUNNELING AND SPECTROSCOPY OF NONCOMMUTATIVE INSPIRED KERR BLACK HOLE
Miao, Y.-G., Zhao, X. Z., & Zhang, S.-J. (2012) · International Journal of Modern Physics D · doi:10.1142/s0218271812500186 · Cited by 18
Chern–Simons theory in SIM(1) superspace
Vohánka, J., & Faizal, M. (2015) · The European Physical Journal C · doi:10.1140/epjc/s10052-015-3782-1 · Cited by 17
IR dynamics from UV divergences: UV/IR mixing, NCFT, and the hierarchy problem
Craig, N. J. (2023) · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · doi:10.1007/jhep03%282020%29037 · Cited by 17
Noncommutative Mechanics, Landau Levels, Twistors, and Yang–Mills Amplitudes
Nair, V. P. (2006) · Springer eBooks · doi:10.1007/3-540-33314-2_3 · Cited by 17
Worldline approach to noncommutative field theory
Bonezzi, R., Corradini, O., Viñas, S. A. F., et al. (2012) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/45/40/405401 · Cited by 17
Field theory amplitudes in a space with SU(2) fuzziness
Komaie-Moghaddam, H., Fatollahi, A. H., & Khorrami, M. (2007) · The European Physical Journal C · doi:10.1140/epjc/s10052-007-0484-3 · Cited by 17
Schwarzschild geometry emerging from matrix models
Blaschke, D. N., & Steinacker, H. C. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/18/185020 · Cited by 17
Noncommutative solitons and quasideterminants
Hamanaka, M. (2014) · Physica Scripta · doi:10.1088/0031-8949/89/03/038006 · Cited by 18
Spectrum of the three-dimensional fuzzy well
Chandra, N., Groenewald, H. W., Kriel, J. N., Scholtz, F. G., & Vaidya, S. (2014) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/47/44/445203 · Cited by 17
Minimal theory of quasidilaton massive gravity
Felice, A. D., Shinji Mukohyama, A., & Oliosi, M. (2017) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.96.024032 · Cited by 17
The Foldy-Wouthuysen Transformation of the Dirac Equation in Noncommutative Phase-Space
Haouam, I., & Chétouani, L. (2018) · Journal of Modern Physics · doi:10.4236/jmp.2018.911127 · Cited by 17
A non-perturbative approach to the scalar Casimir effect with Lorentz symmetry violation
Escobar, C. A., Martín-Ruiz, A., Franca, O. J., & García, M. A. G. (2020) · Physics Letters B · doi:10.1016/j.physletb.2020.135567 · Cited by 17
Noncommutative QED and Muon Anomalous Magnetic Moment
Wang, X., & Yan, M.-L. (2002) · Journal of High Energy Physics · doi:10.1088/1126-6708/2002/03/047 · Cited by 17
Field theories on spaces with linear fuzziness
Fatollahi, A. H., & Khorrami, M. (2007) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/80/20003 · Cited by 17
Quantum complex scalar fields and noncommutativity
Amorim, R., & Abreu, É. M. C. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.80.105010 · Cited by 17
Free q-deformed relativistic wave equations by representation theory
Blohmann, C. (2003) · The European Physical Journal C · doi:10.1140/epjc/s2003-01306-2 · Cited by 17
Path integral for the harmonic oscillator in one dimension with nonzero minimum position uncertainty
Nouicer, K. (2006) · Physics Letters A · doi:10.1016/j.physleta.2006.02.001 · Cited by 17
LOCALITY, CAUSALITY AND NONCOMMUTATIVE GEOMETRY
CHU, C.-S., FURUTA, K., & INAMI, T. (2006) · International Journal of Modern Physics A · doi:10.1142/s0217751x06024876 · Cited by 17
Noncommutative fields and actions of twisted Poincaré algebra
Чайчиан, М., Kulish, P. P., Tureanu, A., et al. (2008) · Journal of Mathematical Physics · doi:10.1063/1.2907580 · Cited by 17
Noncommutative field gas driven inflation
Barosi, L., Brito, F. A., & Queiroz, A. R. (2008) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2008/04/005 · Cited by 17
Singlet particles as cold dark matter in a noncommutative space-time
Ettefaghi, M. M. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.79.065022 · Cited by 17
Dolan–Grady relations and noncommutative quasi-exactly solvable systems
Клишевич, С. М., & Plyushchay, M. S. (2003) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/36/44/009 · Cited by 17
Duality between non-commutative Yang–Mills–Chern–Simons and non-Abelian self-dual models
Cantcheff, M. B., & Minces, P. (2003) · Physics Letters B · doi:10.1016/s0370-2693(03)00201-6 · Cited by 18
Continual Lie algebras and noncommutative counterparts of exactly solvable models
Zuevsky, A. (2003) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/37/2/020 · Cited by 17
Noncommutative gauge theories and gauge invariance of dimension two condensate in Yang–Mills theory
Slavnov, A. A. (2005) · Physics Letters B · doi:10.1016/j.physletb.2005.01.016 · Cited by 17
Noncommutativity and reparametrization symmetry
Banerjee, R., Chakraborty, B., & Gangopadhyay, S. (2005) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/38/4/014 · Cited by 17
Nondecoupling phenomena in QED in a magnetic field and noncommutative QED
Gorbar, E. V., Hashimoto, M., & MIRANSKY, V. A. (2005) · Physics Letters B · doi:10.1016/j.physletb.2005.02.018 · Cited by 17
Morita duality and noncommutative Wilson loops in two dimensions
Cirafici, M., Griguolo, L., Domenico Seminara, C., et al. (2005) · Journal of High Energy Physics · doi:10.1088/1126-6708/2005/10/030 · Cited by 17
Noncommuting electric fields and algebraic consistency in noncommutative gauge theories
Banerjee, R. (2003) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.67.105002 · Cited by 17
Lattice perturbation theory in noncommutative geometry and parity anomaly in 3d noncommutative QED
Nishimura, J., & Vázquez-Mozo, M. A. (2003) · Journal of High Energy Physics · doi:10.1088/1126-6708/2003/01/075 · Cited by 17
Seiberg-Witten Map for Superfields on Canonically DeformedN=1,d=4 Superspace
Mikulovic, D. (2004) · Journal of High Energy Physics · doi:10.1088/1126-6708/2004/01/063 · Cited by 17
Chiral Bosons in Noncommutative Spacetime
Miao, Y. G., Müller-Kirsten, H. J. W., & Park, D. K. (2003) · CERN Document Server (European Organization for Nuclear Research) · Cited by 17
Чайчиан, М., & Kobakhidze, A. B. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.71.047501 · Cited by 17
Three-Dimensional Dirac Oscillator with Minimal Length: Novel Phenomena for Quantized Energy
Betrouche, M., Maamache, M., & Choi, J. R. (2013) · Advances in High Energy Physics · doi:10.1155/2013/383957 · Cited by 16
New Higher-Order Generalized Uncertainty Principle: Applications
Hamil, B., & Lütfüoğlu, B. C. (2021) · International Journal of Theoretical Physics · doi:10.1007/s10773-021-04853-6 · Cited by 16
Dynamical noncommutative graphene
Haouam, I., & Alavi, S. A. (2022) · International Journal of Modern Physics A · doi:10.1142/s0217751x22500543 · Cited by 16
Non-commutative harmonic oscillator in magnetic field and continuous limit
Jing, J., & Chen, J. (2009) · The European Physical Journal C · doi:10.1140/epjc/s10052-009-0950-1 · Cited by 16
Scattering of spin 1/2 particles by the 2+1 dimensional noncommutative Aharonov-Bohm potential
Ferrari, A. F., Gomes, M., & Stechhahn, C. A. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.085008 · Cited by 16
The Linear Interaction in Noncommutative Space; Both Relativistic and Nonrelativistic Cases
HASSANABADI, H., Hosseini, S. S., & Zarrinkamar, S. (2014) · International Journal of Theoretical Physics · doi:10.1007/s10773-014-2219-1 · Cited by 16
Noncommutative extension of AdS–CFT and holographic superconductors
Pramanik, S., Das, S., & Ghosh, S. (2015) · Physics Letters B · doi:10.1016/j.physletb.2015.01.044 · Cited by 16
The twisted gradient flow coupling at one loop
Bribián, E. I., & Pérez, M. G. (2019) · Journal of High Energy Physics · doi:10.1007/jhep03(2019)200 · Cited by 16
Angular momentum quantum backflow in the noncommutative plane
Paccoia, V. D., Panella, O., & Roy, P. (2020) · Physical Review A · doi:10.1103/physreva.102.062218 · Cited by 16
Noncommutative vector DKP oscillator in an external magnetic field
CHARGUI, Y., & Dhahbi, A. (2023) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-023-03661-7 · Cited by 16
A comparison of updating algorithms for large N reduced models
Pérez, M. G., Antonio González-arroyo, A., Keegan, L., et al. (2015) · Journal of High Energy Physics · doi:10.1007/jhep06(2015)193 · Cited by 16
Three-dimensional Lorentz-violating action
Nascimento, J. R., Petrov, A. Y., Wotzasek, C., & Zarro, C. A. D. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.89.065030 · Cited by 16
Dirac oscillator in noncommutative space
HASSANABADI, H., Hosseini, S. S., & Zarrinkamar, S. (2014) · Chinese Physics C · doi:10.1088/1674-1137/38/6/063104 · Cited by 16
Liang, M.-L., & Jiang, Y. (2010) · Physics Letters A · doi:10.1016/j.physleta.2010.10.035 · Cited by 16
Brane-world black hole entropy from modified dispersion relations
Sefiedgar, A. S., & Sepangi, H. R. (2010) · Physics Letters B · doi:10.1016/j.physletb.2010.07.051 · Cited by 16
Effect of minimal lengths on electron magnetism
Nouicer, K. (2007) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/40/9/017 · Cited by 16
Graded Hopf maps and fuzzy superspheres
Hasebe, K. (2011) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2011.08.013 · Cited by 16
Localization for Yang-Mills Theory on the Fuzzy Sphere
Steinacker, H. C., & Szabo, R. J. (2007) · Communications in Mathematical Physics · doi:10.1007/s00220-007-0386-0 · Cited by 16
Saha, A., & Gangopadhyay, S. (2016) · Classical and Quantum Gravity · doi:10.1088/0264-9381/33/20/205006 · Cited by 16
On noncommutative Levi-Civita connections
Peterka, M. A., & Sheu, A. J.-L. (2017) · International Journal of Geometric Methods in Modern Physics · doi:10.1142/s0219887817500712 · Cited by 16
On bound states of photons in noncommutative U(1) gauge theory
Fatollahi, A. H., & Jafari, A. (2006) · The European Physical Journal C · doi:10.1140/epjc/s2005-02465-8 · Cited by 16
An extended noncommutative KP hierarchy
Ma, W. (2010) · Journal of Mathematical Physics · doi:10.1063/1.3458580 · Cited by 16
Noncommutative solitons on Kahler manifolds
Spradlin, M., & Volovich, A. (2002) · Journal of High Energy Physics · doi:10.1088/1126-6708/2002/03/011 · Cited by 16
Loop diagrams in space with SU(2) fuzziness
Komaie-Moghaddam, H., Khorrami, M., & Fatollahi, A. H. (2008) · Physics Letters B · doi:10.1016/j.physletb.2008.02.002 · Cited by 16
Exact noncommutative solitons in p-adic strings and BSFT
Ghoshal, D. (2004) · Journal of High Energy Physics · doi:10.1088/1126-6708/2004/09/041 · Cited by 16
UV-IR mixing in nonassociative Snyder ϕ4 theory
Meljanac, S., Mignemi, S., Trampetić, J., & You, J. (2018) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.97.055041 · Cited by 18
Gomes, M., Kupriyanov, V., & da Silva, A. J. (2010) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/43/28/285301 · Cited by 16
Quantum Electrodynamics on Noncommutative Spacetime
Calmet, X. (2006) · CERN Document Server (European Organization for Nuclear Research) · Cited by 16
The Low Energy Limit of the Noncommutative Wess-Zumino Model
Girotti, H. O., Gomes, M., Rivelles, V. O., da Silva, A. J., & Petrov, A. Y. (2002) · Journal of High Energy Physics · doi:10.1088/1126-6708/2002/05/040 · Cited by 17
Matrix Quantum Mechanics and Soliton Regularization of Noncommutative Field Theory
Landi, G., Lizzi, F., & Szabo, R. J. (2004) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.2004.v8.n1.a1 · Cited by 16
Classical Solutions of the TEK Model and Noncommutative Instantons in Two Dimensions
Griguolo, L., & Domenico Seminara, C. (2004) · Journal of High Energy Physics · doi:10.1088/1126-6708/2004/03/068 · Cited by 16
On the classical dynamics of charges in non-commutative QED
Fatollahi, A. H., & Mohammadzadeh, H. (2004) · The European Physical Journal C · doi:10.1140/epjc/s2004-01871-8 · Cited by 16
Seiberg-Witten monopole equations on noncommutative R**4
Popov, A. D., Сергеев, А. Г., & Wolf, M. (2010) · High-Energy Physics Literature Database (CERN, DESY, Fermilab, IHEP, and SLAC) · Cited by 16
On Generalized Uncertainty PrinciplePreprint
Tiwari, B. N. (2008) · arXiv (Cornell University) · doi:10.48550/arxiv.0801.3402 · Cited by 16
Wang, W., Huang, J.-H., & Sheng, Z.-M. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.025031 · Cited by 15
Acatrinei, C. (2013) · Journal of High Energy Physics · doi:10.1007/jhep02(2013)057 · Cited by 15
Random matrix approach to scalar fields on fuzzy spaces
Tekel, J. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.87.085015 · Cited by 15
Noncommutative geometry and fluid dynamics
Das, P., & Ghosh, S. (2016) · The European Physical Journal C · doi:10.1140/epjc/s10052-016-4488-8 · Cited by 15
Aspects of finite electrodynamics inD= 3 dimensions
Gaete, P., Helayël-Neto, J., & Spallucci, E. (2012) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/45/21/215401 · Cited by 15
The Higgs mass and the emergence of new physics
Aydemir, U., Minić, D., & Takeuchi, T. (2013) · Physics Letters B · doi:10.1016/j.physletb.2013.06.044 · Cited by 15
D1-strings in large RR 3-form flux, quantum Nambu geometry and M5-branes in theC-field
Chu, C., & Sehmbi, G. S. (2012) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/45/5/055401 · Cited by 15
On the triviality of higher-derivative theories
Andrzejewski, K., Gonera, J., Machalski, P., et al. (2011) · Physics Letters B · doi:10.1016/j.physletb.2011.11.024 · Cited by 15
Jurić, T., & Samsarov, A. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.93.104033 · Cited by 19
Topological number of edge states
Hashimoto, K., & Kimura, T. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.195166 · Cited by 19
Testing Lorentz and CPT invariance with ultracold neutrons
Martín-Ruiz, A., & Escobar, C. A. (2018) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.97.095039 · Cited by 15
IR dynamics from UV divergences: UV/IR mixing, NCFT, and the hierarchy problem
Craig, N. J., & Koren, S. (2020) · Journal of High Energy Physics · doi:10.1007/jhep03(2020)037 · Cited by 15
Pauli oscillator in noncommutative space
Heddar, M., Falek, M., Moumni, M., et al. (2021) · Modern Physics Letters A · doi:10.1142/s0217732321502801 · Cited by 15
Curvature and gravity actions for matrix models: II. The case of general Poisson structures
Blaschke, D. N., & Steinacker, H. C. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/23/235019 · Cited by 15
Chern-Simons terms in Lifshitz-like quantum electrodynamics
Alves, V. S., Charneski, B., Gomes, M., et al. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.067703 · Cited by 15
Classical and quantum mechanics in the generalized non-commutative plane
Jing, J., Liu, F., & Chen, J. (2008) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/84/61001 · Cited by 15
Tree amplitudes of noncommutativeU(N) Yang–Mills theory
Huang, J.-H., Huang, R., & Jia, Y. (2011) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/44/42/425401 · Cited by 15
Noncommutative Phase Space Schrödinger Equation with Minimal Length
HASSANABADI, H., Molaee, Z., & Zarrinkamar, S. (2014) · Advances in High Energy Physics · doi:10.1155/2014/459345 · Cited by 15
Noncommutativity in the early universe
Oliveira-Neto, G., de Oliveira, M. S., Monerat, G. A., et al. (2016) · International Journal of Modern Physics D · doi:10.1142/s0218271817500110 · Cited by 15
Thermodynamics of the FRW universe in rainbow gravity
Sefiedgar, A. S., & Daghigh, M. (2017) · International Journal of Modern Physics D · doi:10.1142/s0218271817501395 · Cited by 15
Improved localization of a renormalizable non-commutative translation invariant U(1) gauge model
Blaschke, D. N., Rofner, A., Schweda, M., et al. (2009) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/86/51002 · Cited by 15
Weak gravity conjecture for noncommutative field theory
Huang, Q.-G., & She, J.-H. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/12/014 · Cited by 15
Noncommutative multi-instantons on R2n×S2
Ivanova, T. A., & Lechtenfeld, O. (2003) · Physics Letters B · doi:10.1016/s0370-2693(03)00868-2 · Cited by 15
Quantum corrections to the noncommutative kink
Konoplya, R. A., & Vassilevich, D. (2008) · Journal of High Energy Physics · doi:10.1088/1126-6708/2008/01/068 · Cited by 15
String theory or field theory?
Marshakov, A. V. (2002) · Physics-Uspekhi · doi:10.1070/pu2002v045n09abeh001148 · Cited by 15
A New Class of Two-Dimensional Noncommutative Spaces
Pinzul, A., & Stern, A. (2002) · Journal of High Energy Physics · doi:10.1088/1126-6708/2002/03/039 · Cited by 15
On duality of the noncommutative extension of the Maxwell–Chern–Simons model
Guimarães, M. S., Rodrigues, D. C., Wotzasek, C., et al. (2004) · Physics Letters B · doi:10.1016/j.physletb.2004.11.064 · Cited by 15
Nonpertubative Effects of Extreme Localization in Noncommutative GeometryPreprint
Itzhak Bars, A. (2001) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/0109132 · Cited by 15
INVARIANT EIGEN-OPERATOR METHOD OF DERIVING ENERGY-LEVEL GAP FOR NONCOMMUTATIVE QUANTUM MECHANICS
Jing, S., & Fan, H.-Y. (2005) · Modern Physics Letters A · doi:10.1142/s0217732305015975 · Cited by 15
Noncommutative correction to Aharonov-Bohm scattering: A field theory approach
Anacleto, M. A., Gomes, M., da Silva, A. J., et al. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.085005 · Cited by 15
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.
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
