Symmetry, Integrability and Geometry: Methods and Applications (Jun 2010)
On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
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.
