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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 $\mathbb CP^n$

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)
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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 $\mathbb CP^n$ 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
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    • This publication is cited in the following 23 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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