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

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Фізико-технічні та математичні науки
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Відділення математики
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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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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
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dc.contributor.author	Goursac, A.
dc.date.accessioned	2019-02-08T20:55:14Z
dc.date.available	2019-02-08T20:55:14Z
dc.date.issued	2010
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 81T13; 81T15; 81T75
dc.identifier.other	DOI:10.3842/SIGMA.2010.048
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146323
dc.description.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.	uk_UA
dc.description.sponsorship	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).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA