The Multitrace Matrix Model of Scalar Field Theory on Fuzzy C P n

[摘要] We perform a high-temperature expansion of scalar quantum field theory on fuzzy C P 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 C P 1 .

[关键词] matrix models;fuzzy geometry