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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 CPn

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)
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DOI: https://doi.org/10.3842/SIGMA.2010.050
Abstract: We perform a high-temperature expansion of scalar quantum field theory on fuzzy CPn 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 CP1.
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 CPn”, SIGMA, 6 (2010), 050, 23 pp.
Citation in format AMSBIB
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\paper The Multitrace Matrix Model of Scalar Field Theory on Fuzzy $\mathbb CP^n$
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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