Ising Model Observables and Non-Backtracking Walks
Combinatorics
2014-10-14 v3 Probability
Abstract
This paper presents an alternative proof of the connection between the partition function of the Ising model on a finite graph and the set of non-backtracking walks on . The techniques used also give formulas for spin-spin correlation functions in terms of non-backtracking walks. The main tools used are Viennot's theory of heaps of pieces and turning numbers on surfaces.
Cite
@article{arxiv.1209.3996,
title = {Ising Model Observables and Non-Backtracking Walks},
author = {Tyler Helmuth},
journal= {arXiv preprint arXiv:1209.3996},
year = {2014}
}
Comments
33 pages, 11 figures. Typos and errors corrected, exposition improved, results unchanged