The lattice Toda field theory for simple Lie algebras:: Hamiltonian structure and τ-function

被引：9
作者：
Inoue, R [1 ]
Hikami, K [1 ]
机构：
[1] Univ Tokyo, Dept Phys, Grad Sch Sci, Bunkyo Ku, Tokyo 1130033, Japan
来源：
NUCLEAR PHYSICS B | 2000年 / 581卷 / 03期
基金：
日本学术振兴会;
关键词：
Toda field theory; Hamiltonian structure; tau-function; T-system;
D O I：
10.1016/S0550-3213(00)00265-0
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
The discretization of the Toda field theory for any finite-dimensional simple Lie algebras is studied. We define the Poisson relation among Toda fields on the lattice, and clarify the Hamiltonian structure of the lattice Toda field equation. We transform the Toda field equation into the functional equation of the tau-function, and discuss the correspondence with the T-system. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：761 / 775
页数：15
相关论文
共 6 条
1