On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
arXiv:1003.5788 · doi:10.3842/SIGMA.2010.048
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.
v2: revised version; v3: published version
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Cited by in corpus (7)
- Noncommutative geometry, gauge theory and renormalization
- Deformation Quantization for Heisenberg Supergroup
- Symmetries of noncommutative scalar field theory
- Strong Field, Noncommutative QED
- Fréchet Quantum Supergroups
- Quantization of a gauge theory on a curved noncommutative space
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