Phase transitions in a $\Phi^4$ matrix model on a curved noncommutative space
Abstract
In this contribution, we summarize our recent studies of the phase structure of the Grosse-Wulkenhaar model and its connection to renormalizability. Its action contains a special term that couples the field to the curvature of the noncommutative background space. We first analyze the numerically obtained phase diagram of the model and its three phases: the ordered, the disordered, and the noncommutative stripe phase. Afterward, we discuss the analytical derivation of the effective action and the ordered-to-stripe transition line, and how the obtained expression successfully explains the curvature-induced shift of the triple point compared to the model without curvature. This shift also causes the removal of the stripe phase and makes the model renormalizable.
Keywords
Cite
@article{arxiv.2310.10794,
title = {Phase transitions in a $\Phi^4$ matrix model on a curved noncommutative space},
author = {Dragan Prekrat and Dragana Ranković and Neli Kristina Todorović-Vasović and Samuel Kováčik and Juraj Tekel},
journal= {arXiv preprint arXiv:2310.10794},
year = {2023}
}
Comments
COST Action CA18108: Workshop on theoretical aspects of quantum gravity, 1-3 September 2022, Belgrade