Triple Point of a Scalar Field Theory on a Fuzzy Sphere
High Energy Physics - Theory
2018-10-17 v2 High Energy Physics - Lattice
Abstract
The model of a scalar field with quartic self-interaction on the fuzzy sphere has three known phases: a uniformly ordered phase, a disordered phase and a non-uniformly ordered phase, the last of which has no classical counterpart. These three phases are expected to meet at a triple point. By studying the infinite matrix size limit, we locate the position of this triple point to within a small triangle in terms of the parameters of the model. We find the triple point is closer to the coordinate origin of the phase diagram than previous estimates but broadly consistent with recent analytic predictions.
Cite
@article{arxiv.1805.08111,
title = {Triple Point of a Scalar Field Theory on a Fuzzy Sphere},
author = {Samuel Kováčik and Denjoe O'Connor},
journal= {arXiv preprint arXiv:1805.08111},
year = {2018}
}
Comments
12 pages, 5 figures