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, 050, 23 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.050 (Mi sigma507) 		 
This article is cited in 23 scientific papers (total in 23 papers)

The Multitrace Matrix Model of Scalar Field Theory on Fuzzy $\mathbb CP^n$

Christian Sämannab

a Maxwell Institute for Mathematical Sciences, Edinburgh, UK
b Department of Mathematics, Heriot-Watt University, Colin Maclaurin Building, Riccarton, Edinburgh EH14 4AS, UK
Full-text PDF (375 kB) Citations (23)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2010.050
Abstract: We perform a high-temperature expansion of scalar quantum field theory on fuzzy $\mathbb CP^n$ to third order in the inverse temperature. Using group theoretical methods, we rewrite the result as a multitrace matrix model. The partition function of this matrix model is evaluated via the saddle point method and the phase diagram is analyzed for various $n$. Our results confirm the findings of a previous numerical study of this phase diagram for $\mathbb CP^1$.
Keywords: matrix models; fuzzy geometry.
Received: March 25, 2010; in final form June 3, 2010; Published online June 11, 2010
Bibliographic databases:
Document Type: Article
MSC: 81T75
Language: English
Citation: Christian Sämann, “The Multitrace Matrix Model of Scalar Field Theory on Fuzzy $\mathbb CP^n$”, SIGMA, 6 (2010), 050, 23 pp.
Citation in format AMSBIB
\Bibitem{Sam10}
\by Christian S\"amann
\paper The Multitrace Matrix Model of Scalar Field Theory on Fuzzy $\mathbb CP^n$
\jour SIGMA
\yr 2010
\vol 6
\papernumber 050
\totalpages 23
\mathnet{http://mi.mathnet.ru/sigma507}
\crossref{https://doi.org/10.3842/SIGMA.2010.050}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2725033}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000279673500003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84896064036}
Linking options:
  • https://www.mathnet.ru/eng/sigma507
  • https://www.mathnet.ru/eng/sigma/v6/p50
    • This publication is cited in the following 23 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:617
    Full-text PDF :56
    References:43
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024