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

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 noncommuta...

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Bibliographic Details
Main Author: Axel de Goursac
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2010-06-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2010.048