Operator reflection positivity inequalities and their applications to interacting quantum rotors
Mathematical Physics
2020-03-30 v1 math.MP
Abstract
In the Reflection Positivity theory and its application to statistical mechanical systems, certain matrix inequalities play a central role. The Dyson-Lieb-Simon and Kennedy-Lieb-Shastry-Schupp inequalities constitute prominent examples. In this paper we extend the KLS-S inequality to the case where matrices are replaced by certain operators. As an application, we prove the occurrence of the long range order in the ground state of two-dimensional quantum rotors.
Cite
@article{arxiv.1507.03079,
title = {Operator reflection positivity inequalities and their applications to interacting quantum rotors},
author = {Jacek Wojtkiewicz and Wiesław Pusz and Piotr Stachura},
journal= {arXiv preprint arXiv:1507.03079},
year = {2020}
}
Comments
20 pages, one figure