Fuzzy Scalar Field Theory as Matrix Quantum Mechanics

Abstract

We study the phase diagram of scalar field theory on a three dimensional Euclidean spacetime whose spatial component is a fuzzy sphere. The corresponding model is an ordinary one-dimensional matrix model deformed by terms involving fixed external matrices. These terms can be approximated by multitrace expressions using a group theoretical method developed recently. The resulting matrix model is accessible to the standard techniques of matrix quantum mechanics.

1+17 pages, 4 figures, minor improvements, version published in JHEP

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Cited by in corpus (4)

• Uniform order phase and phase diagram of scalar field theory on fuzzy $\mathbb{C}{P}^n$
• The Phase Diagram of Scalar Field Theory on the Fuzzy Disc
• Second moment fuzzy-field-theory-like matrix models
• Bootstrapping Fuzzy Scalar Field Theory