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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| Datum: | 2010 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2010
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/146323 |
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| Zitieren: | 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. |
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irk-123456789-1463232019-02-09T01:23:51Z On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory Goursac, A. 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. 2010 Article 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. 1815-0659 2010 Mathematics Subject Classification: 81T13; 81T15; 81T75 DOI:10.3842/SIGMA.2010.048 http://dspace.nbuv.gov.ua/handle/123456789/146323 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Goursac, A. |
| spellingShingle |
Goursac, A. On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Goursac, A. |
| author_sort |
Goursac, A. |
| title |
On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory |
| title_short |
On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory |
| title_full |
On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory |
| title_fullStr |
On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory |
| title_full_unstemmed |
On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory |
| title_sort |
on the origin of the harmonic term in noncommutative quantum field theory |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146323 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2025-07-10T23:29:06Z |
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