Fuzzy Scalar Field Theory as Matrix Quantum Mechanics

Details Fuzzy Scalar Field Theory as Matrix Quantum Mechanics Fuzzy Scalar Field Theory as Matrix Quantum Mechanics

2010-12-16

arxiv.org/abs/1012.3568v2

JHEP 1103:091,2011

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/JHEP03(2011)091

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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