Partial differential equations from integrable vertex models
Mathematical Physics
2015-06-18 v2 Analysis of PDEs
math.MP
Exactly Solvable and Integrable Systems
Abstract
In this work we propose a mechanism for converting the spectral problem of vertex models transfer matrices into the solution of certain linear partial differential equations. This mechanism is illustrated for the invariant six-vertex model and the resulting partial differential equation is studied for particular values of the lattice length.
Cite
@article{arxiv.1403.0425,
title = {Partial differential equations from integrable vertex models},
author = {W. Galleas},
journal= {arXiv preprint arXiv:1403.0425},
year = {2015}
}
Comments
19 pages. v2: affiliation and references updated, minor changes, accepted for publication in J. Math. Phys