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On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
Інший ID:
2010 Mathematics Subject Classification: 81T13; 81T15; 81T75
DOI:10.3842/SIGMA.2010.048
DOI:10.3842/SIGMA.2010.048
Посилання:
On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory / A. Goursac // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 62 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html.
The author thanks Pierre Bieliavsky and Jean-Christophe Wallet for interesting discussions at various stages of this work. This work was supported by the Belgian Interuniversity Attraction Pole (IAP) within the framework “Nonlinear systems, stochastic processes, and statistical mechanics” (NOSY).
Дата:
2010
Переглядів:
431
Завантажень:
156
Анотація:
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.
