On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory

Marcillaud de Goursac, Axel
(2010) Symmetry Integrability And Geometry-methods And Applications — Vol. 6, p. 48 (2010)

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  • Marcillaud de Goursac, AxelUCLouvain
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Abstract
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 principal interpretations of this harmonic term: the Langmann-Szabo duality, the superalgebraic approach and the noncommutative scalar curvature interpretation. Then, we show some deep relationship between these interpretations.
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Marcillaud de Goursac, A. (2010). On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory. Symmetry Integrability And Geometry-methods And Applications, 6, 48. https://doi.org/10.3842/SIGMA.2010.048 (Original work published 2010)