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Fuzzy Scalar Field Theory as Matrix Quantum Mechanics (1012.3568v2)
Published 16 Dec 2010 in hep-th, math-ph, and math.MP
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.