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

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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Veröffentlicht in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2010-01, Vol.6, p.048
1. Verfasser: de Goursac, Axel
Format: Artikel
Sprache:eng
Schlagworte:
gauge theory
Heisenberg algebra
High Energy Physics - Theory
Mathematical Physics
Mathematics
noncommutative QFT
Physics
renormalization
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Zusammenfassung: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.
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2010.048