41 citations · 105 across the 5 of their papers we have counts for
5 papers
Resurgent Deformation Quantisation
Mauricio Garay, Axel de Goursac, Duco van Straten
We construct a version of the complex Heisenberg algebra based on the idea of endless analytic continuation. In particular, we exhibit an integral formula for the product of resurg…
Deformation Quantization for Heisenberg Supergroup
Pierre Bieliavsky, Axel de Goursac, Gijs Tuynman
We construct a non-formal deformation machinery for the actions of the Heisenberg supergroup analogue to the one developed by M. Rieffel for the actions of R^d. However, the method…
On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
Axel de Goursac
The harmonic term in the scalar field theory on the Moyal space removes the UV-IR mixing, so that the theory is renormalizable to all orders. In this paper, we review the three pri…
Symmetries of noncommutative scalar field theory
Axel de Goursac, Jean-Christophe Wallet
We investigate symmetries of the scalar field theory with harmonic term on the Moyal space with euclidean scalar product and general symplectic form. The classical action is invari…
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…