Ising model as Wilson-Majorana Fermions
High Energy Physics - Lattice
2020-05-27 v2 Statistical Mechanics
Abstract
We show the equivalence of the 2D Ising model to standard free Euclidean lattice fermions of the Wilson Majorana type. The equality of the loop representations for the partition functions of both systems is established exactly for finite lattices with well-defined boundary conditions. The honeycomb lattice is particularly simple in this context and therefore discussed first and only then followed by the more familiar square lattice case.
Keywords
Cite
@article{arxiv.2003.01579,
title = {Ising model as Wilson-Majorana Fermions},
author = {Ulli Wolff},
journal= {arXiv preprint arXiv:2003.01579},
year = {2020}
}
Comments
19 pages, 5 figures, sec. 3.3 added detailing the relation with Samuel's fermionization