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The Multitrace Matrix Model of Scalar Field Theory on Fuzzy $\mathbb CP^n$
Symmetry, integrability and geometry: methods and applications, Tome 6 (2010) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{SIGMA_2010_6_a49,
     author = {Christian S\"amann},
     title = {The {Multitrace} {Matrix} {Model} of {Scalar} {Field} {Theory} on {Fuzzy} $\mathbb CP^n$},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2010},
     volume = {6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2010_6_a49/}
}
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Christian Sämann. The Multitrace Matrix Model of Scalar Field Theory on Fuzzy $\mathbb CP^n$. Symmetry, integrability and geometry: methods and applications, Tome 6 (2010). http://geodesic.mathdoc.fr/item/SIGMA_2010_6_a49/

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