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arXiv · 1012.3568

Fuzzy Scalar Field Theory as Matrix Quantum Mechanics

Matthias Ihl·Christoph Sachse·Christian Saemann
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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.

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Matthias Ihl, Christoph Sachse, Christian Saemann. 2011-03-20. Fuzzy Scalar Field Theory as Matrix Quantum Mechanics. https://doi.org/10.1007/jhep03(2011)091

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