English

Bipartite dimer representation of squared 2d-Ising correlations

Mathematical Physics 2014-09-16 v2 Statistical Mechanics math.MP Probability

Abstract

The Bozonisation identities of [Dub11] show that squared 2d-Ising order and disorder correlations are equal to +- the ratio of bipartite dimer partition functions. In this self-contained paper, we give another proof of these identities using the approach of [BdT14]. Our proof is more direct and allows to keep track of order and disorder in XOR-Ising configurations.

Cite

@article{arxiv.1407.6274,
  title  = {Bipartite dimer representation of squared 2d-Ising correlations},
  author = {Béatrice de Tilière},
  journal= {arXiv preprint arXiv:1407.6274},
  year   = {2014}
}

Comments

11 pages, 6 figures

R2 v1 2026-06-22T05:11:12.044Z