Noncommutative field theory from angular twist

H. J. Groenewold, “On the Principles of elementary quantum mechanics,” Physica 12

1946

Earlier work this paper cites.

J. E. Moyal, “Quantum mechanics as a statistical theory,” Proc. Cambridge Phil. Soc. 45

1949

Earlier work this paper cites.

D. A Kirzhnits, Field theoretical methods in many-body systems

1967

Earlier work this paper cites.

V. G. Drinfel’d, “On constant quasiclassical solutions of the Yang-Baxter equations”, Soviet Math. Dokl. 28 (1983) 667-671; “Quasi-Hopf Algebras” Leningrad Math. J. 1 1419 (1990) [Alg. Anal. 1N6 114 (1989)]

1989

Earlier work this paper cites.

J. Lukierski, A. Nowicki, H. Ruegg, V. N. Tolstoy, “ Q Q deformation of Poincaré algebra”, Phys. Lett. B 264

1991

Earlier work this paper cites.

J. Lukierski, A. Nowicki and H. Ruegg, “New quantum Poincaré algebra and κ \kappa deformed field theory”, Phys. Lett. B 293

1992

Earlier work this paper cites.

S. Doplicher, K. Fredenhagen and J. E. Roberts, “Space-time quantization induced by classical gravity,” Phys. Lett. B 331

1994

Earlier work this paper cites.

J. Lukierski, H. Ruegg, V. N. Tolstoi and A. Nowicki, “Twisted classical Poincaré algebras”, J. Phys. A 27

1994

Earlier work this paper cites.

S. Minwalla, M. Van Raamsdonk and N. Seiberg, “Noncommutative perturbative dynamics,” JHEP 0002

2000

Earlier work this paper cites.

J. M. Gracia-Bondia, F. Lizzi, G. Marmo and P. Vitale, “Infinitely many star products to play with,” JHEP 0204

2002

Earlier work this paper cites.

A. B. Hammou, M. Lagraa and M. M. Sheikh-Jabbari, “Coherent state induced star product on R**3(lambda) and the fuzzy sphere,” Phys. Rev. D 66

2002

Earlier work this paper cites.

A. Agostini, F. Lizzi and A. Zampini, “Generalized Weyl systems and kappa Minkowski space,” Mod. Phys. Lett. A 17

2002

Earlier work this paper cites.

R. Szabo, “Quantum field theory on noncommutative spaces,” Phys. Rept. 378

2003

Earlier work this paper cites.

M. Dimitrijevic, L. Jonke, L. Moller, E. Tsouchnika, J. Wess and M. Wohlgenannt, “Deformed field theory on kappa space-time,” Eur. Phys. J. C 31

2003

Cited alongside, same era.

O. Bertolami and L. Guisado, “Noncommutative field theory and violation of translation invariance,” JHEP 0312

2003

Cited alongside, same era.

D. Robbins and S. Sethi, “The UV/IR interplay in theories with space-time varying noncommutativity,” JHEP 0307

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”, Phys. Lett. B604

2004

Cited alongside, same era.

M. Dimitrijevic, F. Meyer, L. Moller and J. Wess, “Gauge theories on the kappa Minkowski space-time,” Eur. Phys. J. C 36

2004

Cited alongside, same era.

L. Rosa and P. Vitale, “On the ⋆ \star -product quantization and the Duflo map in three dimensions,” Mod. Phys. Lett. A 27

Original

2012

Later among the works it cites.

C. Guedes, D. Oriti and M. Raasakka, “Quantization maps, algebra representation and non-commutative Fourier transform for Lie groups,” J. Math. Phys. 54

Original

2013

Later among the works it cites.

P. Vitale and J. C. Wallet, “Noncommutative field theories on R λ 3 R^{3}_{\lambda} : Toward UV/IR mixing freedom,” JHEP 1304

Original

2013

Later among the works it cites.

A. Géré, P. Vitale and J. C. Wallet, “Quantum gauge theories on noncommutative three-dimensional space,” Phys. Rev. D 90

Original

2014

Later among the works it cites.

P. Vitale, “Noncommutative field theory on ℝ λ 3 \mathbb{R}^{3}_{\lambda} ,” Fortsch. Phys. 62