Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (385 kB) Citations (10)
References:
PDF
HTML
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
\Bibitem{De 10}
\by Axel de Goursac
\paper On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
\jour SIGMA
\yr 2010
\vol 6
\papernumber 048
\totalpages 20
\mathnet{http://mi.mathnet.ru/sigma505}
\crossref{https://doi.org/10.3842/SIGMA.2010.048}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2725035}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000279673500001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84896061913}
Linking options:
  • https://www.mathnet.ru/eng/sigma505
  • https://www.mathnet.ru/eng/sigma/v6/p48
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:245
    Full-text PDF :43
    References:38
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024