Physics – Mathematical Physics
Scientific paper
2010-03-30
SIGMA 6 (2010), 048, 20 pages
Physics
Mathematical Physics
v2: revised version; v3: published version
Scientific paper
10.3842/SIGMA.2010.048
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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