135 citations · 224 across the 6 of their papers we have counts for
8 papers
On the vacuum states for noncommutative gauge theory
Axel de Goursac, Jean-Christophe Wallet, Raimar Wulkenhaar
Candidates for renormalisable gauge theory models on Moyal spaces constructed recently have non trivial vacua. We show that these models support vacuum states that are invariant un…
Construction of potentials using mixed scattering data
M. Lassaut, S. Y. Larsen, S. A. Sofianos +1
The long-standing problem of constructing a potential from mixed scattering data is discussed. We first consider the fixed- inverse scattering problem. We show that the zeros…
Noncommutative Induced Gauge Theories on Moyal Spaces
Jean-Christophe Wallet
Noncommutative field theories on Moyal spaces can be conveniently handled within a framework of noncommutative geometry. Several renormalisable matter field theories that are now i…
Noncommutative Induced Gauge Theory
Axel de Goursac, Jean-Christophe Wallet, Raimar Wulkenhaar
We consider an external gauge potential minimally coupled to a renormalisable scalar theory on 4-dimensional Moyal space and compute in position space the one-loop Yang-Mills-type…
One-loop Beta Functions for the Orientable Non-commutative Gross-Neveu Model
Ahmed Lakhoua, Fabien Vignes-Tourneret, Jean-Christophe Wallet
We compute at the one-loop order the beta-functions for a renormalisable non-commutative analog of the Gross Neveu model defined on the Moyal plane. The calculation is performed wi…
Fractional Quantum Hall States in Fast Rotating Bose Gases
A. Lakhoua, T. Masson, J. C. Wallet
We use a Chern Simons Landau-Ginzburg (CSLG) framework related to hierarchies of composite bosons to describe 2D harmonically trapped fast rotating Bose gases in Fractional Quantum…