135 citations · 998 across the 57 of their papers we have counts for
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Derivations of the Moyal Algebra and Noncommutative Gauge Theories
Jean-Christophe Wallet
The differential calculus based on the derivations of an associative algebra underlies most of the noncommutative field theories considered so far. We review the essential properti…
Noncommutative epsilon-graded connections
Axel de Goursac, Thierry Masson, Jean-Christophe Wallet
We introduce the new notion of epsilon-graded associative algebras which takes its root into the notion of commutation factors introduced in the context of Lie algebras. We define…
Using mixed data in the inverse scattering problem
M. Lassaut, S. Y. Larsen, S. A. Sofianos +1
Consider the fixed- inverse scattering problem. We show that the zeros of the regular solution of the Schrödinger equation, , which are monotonic functions of the e…
Noncommutative Yang-Mills-Higgs actions from derivation-based differential calculus
Eric Cagnache, Thierry Masson, Jean-Christophe Wallet
Derivations of a noncommutative algebra can be used to construct differential calculi, the so-called derivation-based differential calculi. We apply this framework to a version of…
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…