Source: http://www.perimeterinstitute.ca/people/Joseph-Ben-Geloun
Timestamp: 2019-04-20 20:24:36+00:00

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for 2D quantum gravity. TGFT's generate, at the perturbative level, Feynman graphs as simplicial manifolds and therefore provide a realization of a quantum theory for topology in arbitrary dimension. They are very attractive because they offer, within a traditional field-theoretical formalism, one of the most complete framework for a background independent quantum theory of gravity. As a quantum field theory formulated by a functional integral, TGFT's should satisfy some renormalizability conditions that I am investigating.
R. C. Avohou, J Ben Geloun and L. Etera, ``On terminal forms for topological polynomials for ribbon graphs: The $N$-petal flower,'' to appear in European Journal of Combinatorics (2013) doi 10.1016/j.ejc.2013.08.001; arXiv: 1212.5961 [math.CO].
J. Ben Geloun and V. Rivasseau, ``Addendum to 'A Renormalizable 4-Dimensional Tensor Field Theory','' Commun. Math. Phys. 322, 957 (2013) arXiv: 1209.4606 [hep-th].
J. Ben Geloun and E. R. Livine, ``Some classes of renormalizable tensor models,'' J. Math. Phys. 54, 082303 (2013) arXiv: 1207.0416 [hep-th].
J. Ben Geloun and J. R. Klauder, ``Enhanced quantization on the circle,'' Phys. Scripta 03, 035006 (2013) arXiv: 1206.1180 [math-ph].
J. Ben Geloun, ``Two and four-loop beta-functions of rank 4 renormalizable tensor field theories,'' Class. Quant. Grav. 29, 235011 (2012) arXiv: 1205.5513 [hep-th].
J. Ben Geloun, J. Hnybida, J. R. Klauder, ``Coherent states for continuous spectrum operators with non-normalizable fiducial states,'' J. Phys. A: Math. Theor. 45, 085301 (2012) arXiv: 1111.6913 [math-ph].
J. Ben Geloun, ``Classical Group Field Theory,'' J. Math. Phys. 53, 022901 (2012) arXiv: 1107.3122 [hep-th].
J. Ben Geloun and D. O. Samary, ``3D Tensor Field Theory: Renormalization and One-loop $\beta$-functions,'' Annales Henri Poincare 14, 1599 (2013) arXiv: 1201.0176 [hep-th].
J. Ben Geloun and V. Rivasseau, ``A Renormalizable 4-Dimensional Tensor Field Theory,'' Commun. Math. Phys. 318, 69 (2013) arXiv: 1111.4997 [hep-th].
J. Ben Geloun, ``Ward-Takahashi identities for the colored Boulatov model,'' J. Phys. A: Math. Theor. 44, 415402 (2011) arXiv: 1106.1847 [hep-th].
J. Ben Geloun and V. Bonzom, ``Radiative corrections in the Boulatov-Ooguri tensor model: The 2-point function,'' Int. J. Theor. Phys. 50, 2819 (2011) arXiv: 1101.4294 [hep-th].
J. Ben Geloun and R. Gurau, ``Asymptotes in SU(2) Recoupling Theory: Wigner Matrices, $3j$ Symbols, and Character Localization,'' Annales Henri Poincare 12, 77 (2011) arXiv: 1009.5632 [math-ph].
J. Ben Geloun, R. Gurau and V. Rivasseau, ``EPRL/FK Group Field Theory,'' EPL 92, 60008 (2010) arXiv: 1008.0354 [hep-th].
J. Ben Geloun, J. Magnen and V. Rivasseau, ``Bosonic Colored Group Field Theory,'' Eur. Phys. J. C 70, 1119 (2010) arXiv: 0911.1719 [hep-th].
J. Ben Geloun, T. Krajewski, J. Magnen and V. Rivasseau, ``Linearized Group Field Theory and Power Counting Theorems,'' Class. Quant. Grav. 27, 155012 (2010) arXiv: 1002.3592[hep-th].
J. Ben Geloun, ``On the finite amplitudes for open graphs in Abelian dynamical colored Boulatov-Ooguri models,'' arXiv: 1307.8299 [hep-th].
J. Ben Geloun and S. Ramgoolam, ``Counting Tensor Model Observables and Branched Covers of the 2-Sphere,'' arXiv: 1307.6490 [hep-th].
J. Ben Geloun and J. R. Klauder, ``The finite and large-$N$ behaviors of independent-value matrix models,'' arXiv: 1306.4403 [hep-th].
J. Ben Geloun, ``Renormalizable Models in Rank $d\geq 2$ Tensorial Group Field Theory,'' arXiv: 1306.1201 [hep-th].
J. Ben Geloun ``Enhanced Quantization: The particle on the circle,'' Contribution to the XXIXth International Colloquium on Group-Theoretical Methods in Physics, Nankai, China, August 20-26, 2012; arXiv: 1210.5492 [math-ph].
J. Ben Geloun, ``Asymptotic Freedom of Rank 4 Tensor Group Field Theory,'' Contribution to the XXIXth International Colloquium on Group-Theoretical Methods in Physics, Nankai, China, August 20-26, 2012; arXiv: 1210.5490 [hep-th].
J. Ben Geloun and Cecilia Flori, ``Topos Analogues of the KMS State,'' arXiv: 1207.0227 [math-ph].
I. Aremua, J. Ben Geloun, M. N. Hounkonnou, ``Deepening the vector coherent state analysis: Revisiting the harmonic oscillator,'' arXiv: 1109.4328 [math-ph].

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