Parametric representation of a translation-invariant renormalizable noncommutative model

D. N. Blaschke, F. Gieres, E. Kronberger, M. Schweda and M. Wohlgenannt, “Translation-invariant models for non-commutative gauge fields,” J. Phys. A 41

Original

1914

Earlier work this paper cites.

A. Connes, “Géometrie non commutative”, InterEditions, Paris (1990)

1990

Earlier work this paper cites.

V. Rivasseau, “From Perturbative to Constructive Field Theory”, Princeton University Press, Princeton (1991)

1991

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.

T. Filk, “Divergencies in a field theory on quantum space,” Phys. Lett. B 376

1996

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.

Seiberg N., Witten E.: String theory and noncommutative geometry. JHEP 9909, 32-131 (1999) [arXiv:hep-th/9908142]

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.

Douglas M., Nekrasov N.: Noncommutative field theory. Rev. Modern Physics 73, 977–1029 (2001)

2001

Earlier work this paper cites.

H. Grosse and R. Wulkenhaar, “The beta-function in duality-covariant noncommutative phi**4 theory,” Eur. Phys. J. C 35

2004

Earlier work this paper cites.

Grosse H. and Wulkenhaar R., Power-counting theorem for non-local matrix models and renormalization, Commun. Math. Phys. 254, 91-127 (2005)

2005

Earlier work this paper cites.

H. Grosse and R. Wulkenhaar, “Renormalization of ϕ 4 \phi^{4} -theory on noncommutative ℝ 4 {\mathbb{R}}^{4} in the matrix base,” Commun. Math. Phys. 256

2005

Cited alongside, same era.

R. Gurau, A. P. C. Malbouisson, V. Rivasseau and A. Tanasa, “Non-Commutative Complete Mellin Representation for Feynman Amplitudes,” Lett. Math. Phys. 81

Original

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.

V. Rivasseau, F. Vignes-Tourneret, R. Wulkenhaar, “Renormalization of noncommutative ϕ 4 ⋆ 4 \phi^{\star 4}_{4} -theory by multi-scale analysis,” Commun. Math. Phys. 262

2006

Cited alongside, same era.

R. Gurau, J. Magnen, V. Rivasseau and F. Vignes-Tourneret, “Renormalization of non-commutative phi**4(4) field theory in x space,” Commun. Math. Phys. 267

V. Rivasseau and A. Tanasa, “Parametric representation of ’covariant’ noncommutative QFT models,” Commun. Math. Phys. 279

2007

Later among the works it cites.

A. de Goursac, A. Tanasa and J. C. Wallet, “Vacuum configurations for renormalizable non-commutative scalar models,” Eur. Phys. J. C 53

Original

2007

Later among the works it cites.

V. Rivasseau, “Non-commutative renormalization,” Seminaire Poincaré X, Espaces Quantiques 15-95 (2007) arXiv:0705.0705[hep-th]

Original

2007

Later among the works it cites.

A. de Goursac, J. C. Wallet and R. Wulkenhaar, “Noncommutative induced gauge theory,” Eur. Phys. J. C 51

Original

2007

Later among the works it cites.

R. Gurau and A. Tanasa, “Dimensional regularization and renormalization of non-commutative QFT,” arXiv:0706.1147[math-ph], Annales H. Poincaré 9