125 citations
- Centre National de la Recherche ScientifiqueFR12 papers
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5 papers · 1 filter
Supersymmetry breaking in noncommutative quantum mechanics
J Ben Geloun, F G Scholtz
Supersymmetric quantum mechanics is formulated on a two dimensional noncommutative plane and applied to the supersymmetric harmonic oscillator. We find that the ordinary commutativ…
A note on stability conditions for planar switched systems
Moussa Balde, Ugo Boscain, Paolo Mason
This paper is concerned with the stability problem for the planar linear switched system , where the real matrices $A_1,A_2\in \R^{2\times 2}…
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…