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 CPn.
|Journal||Symmetry, Integrability and Geometry: Methods and Applications|
|Publication status||Published - 24 Mar 2010|
- Fuzzy geometry
- Matrix models