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

Abstract

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.

References in corpus (2)

• Quantum Field Theory in a Non-Commutative Space: Theoretical Predictions and Numerical Results on the Fuzzy Sphere
• A Multitrace Matrix Model from Fuzzy Scalar Field Theory

Cited by in corpus (7)

• Second moment fuzzy-field-theory-like matrix models
• The fate of the Wilson-Fisher fixed point in non-commutative ϕ^4
• Quantum Gravity as a Multitrace Matrix Model
• Quantized Noncommutative Geometry from Multitrace Matrix Models
• Beyond second-moment approximation in fuzzy-field-theory-like matrix models
• Wilsonian Matrix Renormalization Group
• Fuzzy field theories and related matrix models