Reflection positivity and quantum Griffiths' inequalities
Mathematical Physics
2015-07-23 v2 math.MP
Abstract
We propose a new method of constructing the quantum Griffiths inequality. From a viewpoint of operator inequalities, we first study the quantum rotor model. This viewpoint clarifies important connections between the reflection positivity and the Griffiths inequality. Next we apply our method to the spin- quantum Heisenberg model. Finally we point out a model-independent structure which governs the correlation inequalities.
Cite
@article{arxiv.1504.06676,
title = {Reflection positivity and quantum Griffiths' inequalities},
author = {Tadahiro Miyao},
journal= {arXiv preprint arXiv:1504.06676},
year = {2015}
}
Comments
This paper has been merged with arXiv:1507.05355