On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
classification
🧮 math-ph
hep-thmath.MP
keywords
harmonictermtheoryfieldinterpretationsnoncommutativescalarapproach
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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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