Detecting scaling in phase transitions on the truncated Heisenberg algebra
High Energy Physics - Theory
2021-04-06 v3
Abstract
We construct and analyze a phase diagram of a self-interacting matrix field coupled to curvature of the non-commutative truncated Heisenberg space. The model reduces to the renormalizable Grosse-Wulkenhaar model in an infinite matrix size limit and exhibits a purely non-commutative non-uniformly ordered phase. Particular attention is given to scaling of model's parameters. We additionally provide the infinite matrix size limit for the disordered to ordered phase transition line.
Keywords
Cite
@article{arxiv.2002.05704,
title = {Detecting scaling in phase transitions on the truncated Heisenberg algebra},
author = {Dragan Prekrat and Kristina Neli Todorović-Vasović and Dragana Ranković},
journal= {arXiv preprint arXiv:2002.05704},
year = {2021}
}
Comments
v2: Paper restructured. New data and additional section added. Some notation changed. Major revision. v3: Typos from convention change corrected. Three figures added, one removed. Minor text changes