135 citations · 998 across the 57 of their papers we have counts for
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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…
Vacuum configurations for renormalizable non-commutative scalar models
A. de Goursac, A. Tanasa, J-C. Wallet
In this paper we find non-trivial vacuum states for the renormalizable non-commutative model. An associated linear sigma model is then considered. We further investigate the…
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…