A new representation for the partition function of the six vertex model with domain wall boundaries
Mathematical Physics
2015-05-20 v2 Statistical Mechanics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We obtain a new representation for the partition function of the six vertex model with domain wall boundaries using a functional equation recently derived by the author. This new representation is given in terms of a sum over the permutation group where the partial homogeneous limit can be taken trivially. We also show by construction that this partition function satisfies a linear partial differential equation.
Keywords
Cite
@article{arxiv.1010.5059,
title = {A new representation for the partition function of the six vertex model with domain wall boundaries},
author = {W. Galleas},
journal= {arXiv preprint arXiv:1010.5059},
year = {2015}
}
Comments
14 pages, v2: added references, accepted for publication in J. Stat. Mech