Characterization of Reflection Positivity: Majoranas and Spins
Mathematical Physics
2016-03-23 v2 Statistical Mechanics
math.MP
Quantum Physics
Abstract
We study linear functionals on a Clifford algebra (algebra of Ma- joranas) equipped with a reflection automorphism. For Hamiltonians that are functions of Majoranas or of spins, we find necessary and sufficient conditions on the coupling constants for reflection positivity to hold. One can easily check these conditions in concrete models. We illustrate this by discussing a number of spin systems with nearest-neighbor and long-range interactions.
Keywords
Cite
@article{arxiv.1506.04197,
title = {Characterization of Reflection Positivity: Majoranas and Spins},
author = {Arthur Jaffe and Bas Janssens},
journal= {arXiv preprint arXiv:1506.04197},
year = {2016}
}
Comments
32 pages, 2 figures