Fuzzy Scalar Field Theory as Matrix Quantum Mechanics
High Energy Physics - Theory
2011-03-22 v2 Mathematical Physics
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.
Cite
@article{arxiv.1012.3568,
title = {Fuzzy Scalar Field Theory as Matrix Quantum Mechanics},
author = {Matthias Ihl and Christoph Sachse and Christian Saemann},
journal= {arXiv preprint arXiv:1012.3568},
year = {2011}
}
Comments
1+17 pages, 4 figures, minor improvements, version published in JHEP