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math.QA2010★ 23 cited
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…
math-ph2010★ 12 cited
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…