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.

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Cited by in corpus (16)

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• Lectures on Matrix Field Theory I
• Phase diagrams of the multitrace quartic matrix models of noncommutative Φ^4
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• Asymmetric hermitian matrix models and fuzzy field theory
• Second moment fuzzy-field-theory-like matrix models
• Emergent geometry from random multitrace matrix models
• Matrix model approximations of fuzzy scalar field theories and their phase diagrams
• A Multitrace Approach to Noncommutative Φ_2^4
• 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
• Complex (super)-matrix models with external sources and $q$-ensembles of Chern-Simons and ABJ(M) type
• Fuzzy field theories and related matrix models
• Wilsonian Matrix Renormalization Group