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arXiv · 1003.5788

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

Axel de Goursac
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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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Axel de Goursac. 2010-06-09. On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory. https://doi.org/10.3842/sigma.2010.048

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