Fetching the paper…
Reading the bibliography…
We consider the noncommutative space $\mathbb{R}^3_\lambda$, a deformation of the algebra of functions on $\mathbb{R}^3$ which yields a "foliation" of $\mathbb{R}^3$ into fuzzy spheres.
R. L. Stratonovich, “On distributions in representation space”. Sov. Phys. JETP 4
1957
Earlier work this paper cites.
1984
Earlier work this paper cites.
E. Witten, ”Noncommutative Geometry And String Field Theory”, Nucl. Phys. B 268
1986
Earlier work this paper cites.
J. M. Gracia-Bondía and J. C. Várilly, “Algebras of distributions suitable for phase space quantum mechanics. I,” J. Math. Phys. 29
1988
Earlier work this paper cites.
J. Hoppe “Quantum theory of a massless relativistic surface and a two-dimensional bound state problem”, Ph.D. thesis, MIT, 1982; published in Soryushiron Kenkyu 80
1989
Earlier work this paper cites.
J. C. Várilly and J. M. Gracia-Bondía, “ The Moyal representation for spin”, Ann. Phys. 190
1989
Earlier work this paper cites.
A. Wick-Voros, “Wentzel-Kramers-Brillouin method in the Bargmann representation”, Phys. Rev. A 40
1989
Earlier work this paper cites.
J.-C. Wallet, ”Derivations of the Moyal algebra and Noncommutative gauge theories”, SIGMA 5
1990
Earlier work this paper cites.
V. Aquilanti, S. Cavalli, G. Grossi ”Discrete analogs of spherical harmonics and their use in quantum mechanics: the hyperquatization algoritm” Theor. Chim. Acta 79
1991
Earlier work this paper cites.
J. Madore, Journ. Math. Phys. 32
1992
Earlier work this paper cites.
A. Connes, “ Noncommutative Geometry
1994
Earlier work this paper cites.
S. Dopplicher, K. Fredenhagen and J. E. Roberts, ”Space-time quantization induced by classical gravity ”Phys. Lett. B 331
1994
Earlier work this paper cites.
V. I. Manko, G. Marmo, P. Vitale and F. Zaccaria, “A Generalization of the Jordan-Schwinger map: Classical version and its q deformation,” Int. J. Mod. Phys. A 9
1994
Earlier work this paper cites.
V. Schomerus, JHEP 9906
1999
Earlier work this paper cites.
S. Minwalla, M. Van Raamsdonk and N. Seiberg, “Noncommutative perturbative dynamics,” JHEP 0002
2000
Earlier work this paper cites.
For reviews see e.g: A. Connes and M. Marcolli, ” A walk in the noncommutative garden
2001
Earlier work this paper cites.
M. R. Douglas and N. A. Nekrasov, “Noncommutative field theory,” Rev. Mod. Phys. 73
2001
Earlier work this paper cites.
S. Vaidya, “Perturbative dynamics on the fuzzy S**2 and RP**2,” Phys. Lett. B 512
2001
Cited alongside, same era.
C. -S. Chu, J. Madore and H. Steinacker, “Scaling limits of the fuzzy sphere at one loop,” JHEP 0108
2001
Cited alongside, same era.
C. K. Zachos, ”Geometrical evaluation of star products”, J. Math. Phys. 41 (2000) 5129 [arXiv:hep-th/9912238]. G. Alexanian, A. Pinzul and A. Stern, ”Generalized Coherent State Approach to Star Products and Applications to the Fuzzy Sphere,” Nucl. Phys. B 600
2001
Cited alongside, same era.
E. Langmann and R. J. Szabo, ”Duality in scalar field theory on noncommutative phase spaces”, Phys. Lett. B 533
2002
Cited alongside, same era.
J. M. Gracia-Bondía, F. Lizzi, G. Marmo and P. Vitale, “Infinitely many star products to play with,” JHEP 0204
2002
Cited alongside, same era.
V. I. Man’ko, G. Marmo and P. Vitale, “Phase space distributions and a duality symmetry for star products” Phys. Lett. A 334
2007
Later among the works it cites.
2008
Later among the works it cites.
2009
Later among the works it cites.
2009
Later among the works it cites.
D. N. Blaschke, A. Rofner, R. I. P Sedmik, M. Wohlgenannt, “On Non-Commutative U*(1) gauge models and renormalisability”, J. Phys. A.: Math. Theor. 43
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
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
Cited alongside, same era.
R. J. Szabo, “Quantum field theory on noncommutative spaces,” Phys. Rept. 378
2003
Cited alongside, same era.
H. Grosse and R. Wulkenhaar, ”Power-counting theorem for non-local matrix models and renormalisation”, Commun. Math. Phys. 254
2003
Cited alongside, same era.
F. Lizzi, P. Vitale and A. Zampini, “The Fuzzy disc,” JHEP 0308
2003
Cited alongside, same era.
L. Susskind, ”The Quantum Hall Fluid and Non-Commutative Chern Simons Theory”, arXiv:hepth/ 0101029 (2001); S. Hellerman, M. Van Raamsdonk, ”Quantum Hall physics equals noncommutative field theory,” JHEP 10
2004
Cited alongside, same era.
S. R. Das, J. Michelson and A. D. Shapere, “Fuzzy spheres in pp wave matrix string theory,” Phys. Rev. D 70
2004
Cited alongside, same era.
For a review see e.g A. P. Balachandran, S. Kurkcuoglu, S. Vaidya, ”Lectures on Fuzzy and Fuzzy SUSY Physics”, arXiv:hep-th/0511114 (2005) and references therein
2005
Cited alongside, same era.
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
R. Koekoek, P. A. Lesky, R. F. Swarttouw, ”Hypergeometric orthogonal polynomials and their q-analogues” , Springer Monographs in Mathematics, Berlin, New York (2010) doi:10.1007/978-3-642-05014-5
2010
Later among the works it cites.
M. Buric, J. Madore, “Geometry of the Grosse-Wulkenhaar model”, JHEP 1003
2011
Later among the works it cites.
2011
Later among the works it cites.
J.-C. Wallet, ”Connes distance by examples: Homothetic spectral metric spaces”, Rev. Math. Phys. 24
2011
Later among the works it cites.
2011
Later among the works it cites.
2012
Closest in time.
2012
Closest in time.
2012
Closest in time.