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

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dc.contributor.authorGoursac, A.
dc.date.accessioned2019-02-08T20:55:14Z
dc.date.available2019-02-08T20:55:14Z
dc.date.issued2010
dc.description.abstractThe 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.sponsorshipThis 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.identifier.citationOn 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 81T13; 81T15; 81T75
dc.identifier.otherDOI:10.3842/SIGMA.2010.048
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146323
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleOn the Origin of the Harmonic Term in Noncommutative Quantum Field Theoryuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік