On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
Mathematical Physics
2014-11-20 v3 High Energy Physics - Theory
math.MP
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.
Keywords
Cite
@article{arxiv.1003.5788,
title = {On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory},
author = {Axel de Goursac},
journal= {arXiv preprint arXiv:1003.5788},
year = {2014}
}
Comments
v2: revised version; v3: published version