93 citations · 424 across the 45 of their papers we have counts for
7 papers · 1 filter
Just Renormalizable TGFT's on U(1)^d with Gauge Invariance
Dine Ousmane Samary, Fabien Vignes-Tourneret
We study the polynomial Abelian or U(1)^d Tensorial Group Field Theories equipped with a gauge invariance condition in any dimension d. From our analysis, we prove the just renorma…
deformation of the harmonic oscillator in a phase space
M. N. Hounkonnou, D. Ousmane Samary, E. Baloitcha +1
This work addresses a deformation of the harmonic oscillator in a phase space. Specifically, it concerns a quantum mechanics of the harmonic oscillator ba…
New Deformation of quantum oscillator algebra: Representation and some application
Sama Arjika, Dine Ousmane Samary, Ezinvi Baloitcha +1
This work addresses the study of the oscillator algebra, defined by four parameters , , , and . The time-independent Schrödinger equation for the induced deformed harmo…
Noncommutative complex Grosse-Wulkenhaar model
Mahouton Norbert Hounkonnou, Dine Ousmane Samary
This paper stands for an application of the noncommutative (NC) Noether theorem, given in our previous work [AIP Proc 956 (2007) 55-60], for the NC complex Grosse-Wulkenhaar model.…
On the harmonic oscillator properties in a twisted Moyal plane
Ezinvi Baloitcha, Mahouton Norbert Hounkonnou, Dine Ousmane Samary
This work prolongs, using an operator method, the investigations started in our recent paper J. Math. Phys. 51., 102108 on the spectrum and states of the harmonic oscillator on twi…
Twisted Yang-Mills field theory: connections and Noether current
Mahouton Norbert Hounkonnou, Dine Ousmane Samary
Main properties of noncommutative (NC) gauge theory are investigated in a dimensional twisted Moyal plane, generated by vector fields the dynamica…
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…