Classical Group Field Theory

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S. T. Ali, J.-P. Antoine, J.-P. Gazeau, “Coherent states, wavelets and their generalizations,” Springer-Verlag, New York, (2000); J.-P. Antoine, L. Demanet, L. Jacques, and P. Vandergheynst, “Wavelets on the sphere: implementation and approximations” Appl. Comput. Harmon. Anal. 13

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K. Okuyama, “N = 4 SYM on R x S(3) and pp-wave,” JHEP 0211

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J. M. Grimstrup, B. Kloibock, L. Popp, V. Putz, M. Schweda and M. Wickenhauser, “The energy-momentum tensor in noncommutative gauge field models,” Int. J. Mod. Phys. A 19

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L. Freidel, “Group field theory: An overview,” Int. J. Theor. Phys. 44

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L. Freidel and E. R. Livine, “Effective 3-D quantum gravity and non-commutative quantum field theory,” Phys. Rev. Lett. 96

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W. J. Fairbairn and E. R. Livine, “3d spinfoam quantum gravity: Matter as a phase of the group field theory,” Class. Quant. Grav. 24

2007

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J. Ben Geloun and M. N. Hounkonnou, “Noncommutative Noether Theorem,” AIP Conf. Proc. 956

2007

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M. Disertori, R. Gurau, J. Magnen and V. Rivasseau, “Vanishing of beta function of non commutative phi(4)**4 theory to all orders,” Phys. Lett. B 649

2007

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G. Amelino-Camelia, F. Briscese, G. Gubitosi, A. Marciano, P. Martinetti and F. Mercati, “Twisted Hopf symmetries of canonical noncommutative spacetimes and the no-pure-boost principle,” Phys. Rev. D 78

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2008

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D. Oriti (ed.), “Approaches to quantum gravity: Towards a new understanding of space, time and matter,” Cambridge Univ. Press., Cambridge (2009)

2009

T. Krajewski, J. Magnen, V. Rivasseau, A. Tanasa and P. Vitale, “Quantum Corrections in the Group Field Theory Formulation of the EPRL/FK Models,” Phys. Rev. D 82

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2010

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J. Ben Geloun, R. Gurau and V. Rivasseau, “EPRL/FK Group Field Theory,” Europhys. Lett. 92

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2010

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E. R. Livine, “Matrix Models as Non-commutative Field Theories on ℝ 3 \mathbb{R}^{3} ,” Class. Quant. Grav. 26

Original

2010

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M. N. Hounkonnou and D. O. Samary, “Twisted Grosse-Wulkenhaar phi*4 model: Dynamical noncommutativity and Noether currents,” J. Phys. A 43

Original

2010

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J. Ben Geloun and V. Bonzom, “Radiative corrections in the Boulatov-Ooguri tensor model: The 2-point function,” Int. J. Theor. Phys. 50