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Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 048, 20 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.048 (Mi sigma505) 		 
This article is cited in 10 scientific papers (total in 10 papers)

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

Axel de Goursac

Département de Mathématiques, Université Catholique de Louvain, Chemin du Cyclotron, 2, 1348 Louvain-la-Neuve, Belgium
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DOI: https://doi.org/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.
Keywords: noncommutative QFT; gauge theory; renormalization; Heisenberg algebra.
Received: March 30, 2010; in final form June 1, 2010; Published online June 9, 2010
Bibliographic databases:
Document Type: Article
MSC: 81T13; 81T15; 81T75
Language: English
Citation: Axel de Goursac, “On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory”, SIGMA, 6 (2010), 048, 20 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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