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Quantum field theories (QFT's) on noncommutative spacetimes are currently under intensive study.
P. Aschieri, M. Dimitrijevic, F. Meyer, and J. Wess, Noncommutative geometry and gravity
1912
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H. Grosse, On the construction of Möller operators for the nonlinear Schrödinger equation
1979
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A. B. Zamolodchikov and A. B. Zamolodchikov, Factorized s-matrices in two dimensions as the exact solutions of certain relativistic quantum field models
1979
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L. D. Faddeev, Quantum completely integral models of field theory
1980
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S. Doplicher, K. Fredenhagen, and J. E. Roberts, The quantum structure of space-time at the planck scale and quantum fields
1995
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J. Geddes, T. C. Quinn, and R. M. Wald, On the injection energy distribution of ultrahigh-energy cosmic rays
1995
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G. Landi, F. Lizzi, and R. J. Szabo, String geometry and the noncommutative torus
1999
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N. Seiberg and E. Witten, String theory and noncommutative geometry
1999
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A. Y. Alekseev, A. Recknagel, and V. Schomerus, Non-commutative world-volume geometries: Branes on su(2) and fuzzy spheres
1999
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R. Oeckl, Untwisting noncommutative ℝ d \mathbb{R}^{d} and the equivalence of quantum field theories
2000
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R. Oeckl, Braided quantum field theory
2001
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M. R. Douglas and N. A. Nekrasov, Noncommutative field theory
2001
Cited alongside, same era.
V. P. Nair and A. P. Polychronakos, Quantum mechanics on the noncommutative plane and sphere
2001
Cited alongside, same era.
V. P. Nair, Quantum mechanics on a noncommutative brane in m(atrix) theory
2001
Cited alongside, same era.
D. Bahns, S. Doplicher, K. Fredenhagen, and G. Piacitelli, On the unitarity problem in space/time noncommutative theories
2002
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A. Das, J. Gamboa, F. Mendez, and J. Lopez-Sarrion, Chiral bosonization for noncommutative fields
2004
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A. Pinzul, Twisted Poincaré group and spin-statistics
2005
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J. Gamboa and J. Lopez-Sarrion, U(1) noncommutative gauge fields and magnetogenesis
2005
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A. P. Balachandran, G. Mangano, A. Pinzul, and S. Vaidya, Spin and statistics on the Groenenwold-Moyal plane: Pauli- forbidden levels and transitions
2006
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A. P. Balachandran, A. Pinzul, and B. A. Qureshi, UV-IR mixing in non-commutative plane
2006
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J. Gamboa, J. Lopez-Sarrion, and A. P. Polychronakos, Ultraviolet modified photons and anisotropies in the cosmic microwave background radiation
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J. M. Carmona, J. L. Cortes, J. Gamboa, and F. Mendez, Noncommutativity in field space and lorentz invariance violation
2003
Cited alongside, same era.
J. M. Carmona, J. L. Cortes, J. Gamboa, and F. Mendez, Quantum theory of noncommutative fields
2003
Cited alongside, same era.
M. Chaichian, P. P. Kulish, K. Nishijima, and A. Tureanu, On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT
2004
Cited alongside, same era.
A. P. Balachandran, A. Pinzul, B. A. Qureshi, and S. Vaidya, Poincaré invariant gauge and gravity theories on the Groenewold-Moyal plane
Cited in the paper.
G. Fiore and J. Wess, On ‘full twisted poincaré’ symmetry and qft on moyal-weyl spaces
Cited in the paper.
2006
Later among the works it cites.
H. Falomir, J. Gamboa, J. Lopez-Sarrion, F. Mendez, and A. J. da Silva, Vortices, infrared effects and lorentz invariance violation
2006
Later among the works it cites.
A. P. Balachandran, T. R. Govindarajan, G. Mangano, A. Pinzul, B. A. Qureshi, and S. Vaidya, Statistics and UV-IR mixing with twisted Poincaré invariance
2007
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