Fetching the paper…
Reading the bibliography…
The ultraviolet/infrared (UV/IR) mixing of noncommutative field theories has been recently shown to be a generic feature of translation- invariant associative products.
F. Bayen, in Group Theoretical Methods in Physics, ed. E. Beiglbock , et. al. [Lect. Notes Phys. 94, 260 (1979)];
1979
Earlier work this paper cites.
E. Witten, “Noncommutative Geometry And String Field Theory,” Nucl. Phys. B 268
1986
Earlier work this paper cites.
1988
Earlier work this paper cites.
V. Rivasseau, ”From perturbative to constructive renormalization“, Princeton University Press, 1991
1991
Earlier work this paper cites.
S. Doplicher, K. Fredenhagen and J. E. Roberts, “The Quantum structure of space-time at the Planck scale and quantum fields,” Commun. Math. Phys. 172
1995
Earlier work this paper cites.
Connes A, Douglas M. R., Schwarz A.: ”Noncommutative Geometry and Matrix Theory: Compactification on Tori”, JHEP 9802, 3-43 (1998)
1998
Earlier work this paper cites.
M. R. Douglas and C. M. Hull, “D-branes and the noncommutative torus,” JHEP 9802
1998
Earlier work this paper cites.
A. Voros, “Wentzel-Kramers-Brillouin method in the Bargmann representation”, Phys. Rev. A40, 6814 (1989). M. Bordemann and S. Waldmann, “A Fedosov Star Product of Wick Type for Kähler Manifolds,” Lett. Math. Phys. 41, 243 (1997). arXiv:q-alg/9605012. M. Bordemann and S. Waldmann, “Formal GNS Construction and States in Deformation Quantization,” Comm. Math. Phys. 195, 549 (1998). arXiv:q-alg/9607019
1998
Earlier work this paper cites.
N. Seiberg and E. Witten, “String theory and noncommutative geometry,” JHEP 9909
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.
M. Chaichian, A. Demichev and P. Presnajder, “Quantum field theory on noncommutative space-times and the persistence of ultraviolet divergences,” Nucl. Phys. B 567
2000
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.
Susskind L.: The Quantum Hall Fluid and Non-Commutative Chern Simons Theory. hep-th/0101029; Polychronakos A. P.: Quantum Hall states on the cylinder as unitary matrix Chern-Simons theory. JHEP, 06, 70-95 (2001); Hellerman S., Van Raamsdonk M.: Quantum Hall physics equals noncommutative field theory. JHEP 10, 39-51 (2001)
2001
Earlier work this paper cites.
A. B. Hammou, M. Lagraa and M. M. Sheikh-Jabbari, “Coherent state induced star-product on R(lambda)**3 and the fuzzy sphere,” Phys. Rev. D 66
2001
Earlier work this paper cites.
J. Gomis and T. Mehen, “Space-time noncommutative field theories and unitarity,” Nucl. Phys. B 591
2002
Cited alongside, same era.
Y. Liao and K. Sibold, “Time-ordered perturbation theory on noncommutative spacetime. II. Unitarity,” Eur. Phys. J. C 25
2002
Cited alongside, same era.
C. S. Chu, J. Lukierski and W. J. Zakrzewski, “Hermitian analyticity, IR/UV mixing and unitarity of noncommutative field theories,” Nucl.Phys. B 632
2002
Cited alongside, same era.
R. J. Szabo, “Quantum field theory on noncommutative spaces,” Phys. Rept. 378
2003
Cited alongside, same era.
D. Bahns, “The ultraviolet-finite Hamiltonian approach on the noncommutative Minkowski space,” Fortsch. Phys. 52
2003
Cited alongside, same era.
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2003
Cited alongside, same era.
M. Kontsevich, “Deformation quantization of Poisson manifolds, I,” Lett. Math. Phys. 66
2003
Cited alongside, same era.
H. Grosse and R. Wulkenhaar, “Renormalisation of phi**4 theory on noncommutative R**2 in the matrix base,” JHEP 0312
2005
Cited alongside, same era.
F. Lizzi, P. Vitale and A. Zampini, “The fuzzy disc,” JHEP 0308
2005
Cited alongside, same era.
L. Freidel and E. R. Livine, “Effective 3d quantum gravity and non-commutative quantum field theory,” Phys. Rev. Lett. 96
2006
Cited alongside, same era.
2007
Cited alongside, same era.
R. C. Helling, J. You, “Macroscopic Screening of Coulomb Potentials From UV/IR-Mixing”, JHEP 0806
2008
Cited alongside, same era.
2008
Later among the works it cites.
P. Aschieri, F. Lizzi and P. Vitale, Phys. Rev. D 77
2008
Later among the works it cites.
2009
Closest in time.
2009
Closest in time.
2009
Closest in time.
2009
Closest in time.
2009
Closest in time.
2009
Closest in time.