125 citations · 1k across the 46 of their papers we have counts for
5 papers · 1 filter
On terminal forms for topological polynomials for ribbon graphs: The -petal flower
Remi C. Avohou, Joseph Ben Geloun, Etera R. Livine
The Bollobas-Riordan polynomial [Math. Ann. 323, 81 (2002)] extends the Tutte polynomial and its contraction/deletion rule for ordinary graphs to ribbon graphs. Given a ribbon grap…
Some classes of renormalizable tensor models
Joseph Ben Geloun, Etera R. Livine
We identify new families of renormalizable of tensor models from anterior renormalizable tensor models via a mapping capable of reducing or increasing the rank of the theory withou…
Enhanced quantization on the circle
Joseph Ben Geloun, John R. Klauder
We apply the quantization scheme introduced in [arXiv:1204.2870] to a particle on a circle. We find that the quantum action functional restricted to appropriate coherent states can…
Two and four-loop -functions of rank 4 renormalizable tensor field theories
Joseph Ben Geloun
A recent rank 4 tensor field model generating 4D simplicial manifolds has been proved to be renormalizable at all orders of perturbation theory [arXiv:1111.4997 [hep-th]]. The mode…
3D Tensor Field Theory: Renormalization and One-loop -functions
Joseph Ben Geloun, Dine Ousmane Samary
We prove that the rank 3 analogue of the tensor model defined in [arXiv:1111.4997 [hep-th]] is renormalizable at all orders of perturbation. The proof is given in the momentum spac…