On integrable directed polymer models on the square lattice
Disordered Systems and Neural Networks
2016-01-05 v2 Statistical Mechanics
Abstract
In a recent work Povolotsky provided a three-parameter family of stochastic particle systems with zero-range interactions in one dimension which are integrable by coordinate Bethe ansatz. Using these results we obtain the corresponding condition for integrability of a class of directed polymer models with random weights on the square lattice. Analyzing the solutions we find, besides known cases, a new two-parameter family of integrable DP model, which we call the Inverse-Beta polymer, and provide its Bethe ansatz solution.
Cite
@article{arxiv.1506.05006,
title = {On integrable directed polymer models on the square lattice},
author = {Thimothée Thiery and Pierre Le Doussal},
journal= {arXiv preprint arXiv:1506.05006},
year = {2016}
}
Comments
31 pages, 2 figures, 4 appendix