English

Difference equations for the correlation functions of the eight vertex model

High Energy Physics - Theory 2009-10-22 v3 Exactly Solvable and Integrable Systems solv-int

Abstract

We propose that the correlation functions of the inhomogeneous eight vertex model in the anti-ferroelectric regime satisfy a system of difference equations with respect to the spectral parameters. Solving the simplest difference equation we obtain the expression for the spontaneous staggered polarization conjectured by Baxter and Kelland. We discuss also a related construction of vertex operators on the lattice.

Keywords

Cite

@article{arxiv.hep-th/9211066,
  title  = {Difference equations for the correlation functions of the eight vertex model},
  author = {M. Jimbo and T. Miwa and A. Nakayashiki},
  journal= {arXiv preprint arXiv:hep-th/9211066},
  year   = {2009}
}

Comments

16 pages

R2 v1 2026-07-22T15:44:18.406Z