6-VERTEX MODEL WITH ROTATED BOUNDARY-CONDITIONS

Authors
Citation
M. Fujimoto, 6-VERTEX MODEL WITH ROTATED BOUNDARY-CONDITIONS, Journal of statistical physics, 82(5-6), 1996, pp. 1519-1539
Citations number
35
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00224715
Volume
82
Issue
5-6
Year of publication
1996
Pages
1519 - 1539
Database
ISI
SICI code
0022-4715(1996)82:5-6<1519:6MWRB>2.0.ZU;2-W
Abstract
We investigate the six-vertex model on a square lattice rotated throug h an arbitrary angle with respect to the coordinate axes, a model rece ntly introduced by Litvin and Priezzhev. Auxiliary vertices are used t o define an inhomogeneous system which leads to a one-parameter family of commuting transfer matrices. A product of commuting transfer matri ces can be interpreted as a transfer matrix acting on zigzag walls in the rotated system. Using an equation for commuting transfer matrices, we calculate their eigenvalues. Finite-size properties of the model a re discussed from the viewpoint of the conformal field theory.