39 citations · 62 across the 6 of their papers we have counts for
4 papers · 1 filter
Harmonic oscillator in a background magnetic field in noncommutative quantum phase-space
Joseph Ben Geloun, Sunandan Gangopadhyay, Frederik G Scholtz
We solve explicitly the two-dimensional harmonic oscillator and the harmonic oscillator in a background magnetic field in noncommutative phase-space without making use of any type…
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…
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…