Bootstrapping Fuzzy Scalar Field Theory

Abstract

We describe a new way of rewriting the partition function of scalar field theory on fuzzy complex projective spaces as a solvable multitrace matrix model. This model is given as a perturbative high-temperature expansion. At each order, we present an explicit analytic expression for most of the arising terms; the remaining terms are computed explicitly up to fourth order. The method presented here can be applied to any model of hermitian matrices. Our results confirm constraints previously derived for the multitrace matrix model by Polychronakos. A further implicit expectation about the shape of the multitrace terms is however shown not to be true.

16 pages, improved version published in JHEP

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Cited by in corpus (8)

• The Phase Diagram of Scalar Field Theory on the Fuzzy Disc
• Asymmetric hermitian matrix models and fuzzy field theory
• Second moment fuzzy-field-theory-like matrix models
• Matrix model approximations of fuzzy scalar field theories and their phase diagrams
• Renormalization on the fuzzy sphere
• Approximate treatment of noncommutative curvature in quartic matrix model
• Quantum Gravity as a Multitrace Matrix Model
• Beyond second-moment approximation in fuzzy-field-theory-like matrix models