Combinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics
Exactly Solvable and Integrable Systems
2007-07-14 v2 Mathematical Physics
math.MP
Quantum Algebra
Cellular Automata and Lattice Gases
Abstract
The U_q(\hat{sl}_2) vertex model at q=0 with periodic boundary condition is an integrable cellular automaton in one-dimension. By the combinatorial Bethe ansatz, the initial value problem is solved for arbitrary states in terms of an ultradiscrete analogue of the Riemann theta function with rational characteristics.
Keywords
Cite
@article{arxiv.nlin/0611046,
title = {Combinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics},
author = {Atsuo Kuniba and Reiho Sakamoto},
journal= {arXiv preprint arXiv:nlin/0611046},
year = {2007}
}
Comments
9 pages