A. G. Pronko, G. P. Pronko, “Off-shell Bethe states and the six-vertex model”, Zap. Nauchn. Sem. POMI, 2018, Volume 473,Pages <nobr>228

This article is cited in 8 papers

Off-shell Bethe states and the six-vertex model

A. G. Pronko^a, G. P. Pronko^b

^a Steklov Mathematical Institute, Fontanka 27, St. Petersburg, 191023, Russia
^b Institute for High Energy Physics, The National Research Center "Kurchatov Institute", Protvino, Moscow region, 142281, Russia

Abstract: We study the symmetric six-vertex model on a finite square lattice with the partial domain wall boundary conditions. We use the known connection of the model with the off-shell Bethe states of the Heisenberg XXZ spin chain. We obtain various formulas for the partition function, and also discuss the model in the limit of semi-infinite lattice.

Key words and phrases: partial domain wall boundary conditions, Izergin–Korepin partition function, coordinate Bethe Ansatz, determinant representations.

UDC: 517.9

Received: 19.11.2018

Language: English