18 citations · 36 across the 6 of their papers we have counts for
6 papers
Multi-indicial symmetric functions
Joseph Ben Geloun, Mahouton Norbert Hounkonnou
In this paper, using the theory of category, we generalize known properties of symmetric polynomials and functions and characterize the multi-indicial symmetric functions. Examples…
New classes of nonlinear vector coherent states of generalized spin-orbit Hamiltonians
Joseph Ben Geloun, Mahouton Norbert Hounkonnou
This paper deals with an extension of our previous work [J. Phys. A: Math. Theor. {\bf 40} F817] by considering an alternative construction of canonical and deformed vector coheren…
Classes of f-Deformed Landau Operators: Nonlinear Noncommutative Coordinates from Algebraic Representations
Joseph Ben Geloun, Jan Govaerts, M. N. Hounkonnou
We consider, in a superspace, new operator dependent noncommutative (NC) geometries of the nonlinear quantum Hall limit related to classes of f-deformed Landau operators in the sph…
One-loop functions of a translation-invariant renormalizable noncommutative scalar model
Joseph Ben Geloun, Adrian Tanasa
Recently, a new type of renormalizable scalar model on the Moyal space was proved to be perturbatively renormalizable. It is translation-invariant and introduces…
Vanishing beta function for Grosse-Wulkenhaar model in a magnetic field
Joseph Ben Geloun, Razvan Gurau, Vincent Rivasseau
We prove that the beta function of the Grosse-Wulkenhaar model including a magnetic field vanishes at all order of perturbations. We compute the renormalization group flow of the r…
Color Grosse-Wulkenhaar models: One-loop -functions
Joseph Ben Geloun, Vincent Rivasseau
The -functions of O(N) and U(N) invariant Grosse-Wulkenhaar models are computed at one loop using the matrix basis. In particular, for ``parallel interactions", the model is pro…