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

Details The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CP^n The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CP^n

2010-03-24

arxiv.org/abs/1003.4683v2

SIGMA 6 (2010), 050, 23 pages

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.3842/SIGMA.2010.050

We perform a high-temperature expansion of scalar quantum field theory on fuzzy 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 CP^1.

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