Skip navigation
Skip navigation

The eight-vertex model and Painleve VI equation II: eigenvector results

Mangazeev, Vladimir; Bazhanov, Vladimir

Description

We study a special anisotropic XYZ-model on a periodic chain of an odd length and conjecture exact expressions for certain components of the ground state eigenvectors. The results are written in terms of tau-functions associated with Picards elliptic solutions of the Painlev́e VI equation. Connections with other problems related to the eight-vertex model are briefly discussed.

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
URI: http://hdl.handle.net/1885/26416
Source: Journal of Physics A: Mathematical and Theoretical
DOI: 10.1088/1751-8113/43/8/085206

Download

File Description SizeFormat Image
01_Mangazeev_The_eight-vertex_model_and_2010.pdf308.34 kBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  20 July 2017/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator