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

Rei Inoue, Kazuhiro Hikami

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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 τ -function, and discuss the correspondence with the T-system.

Original languageEnglish
Pages (from-to)761-775
Number of pages15
JournalNuclear Physics B
Volume581
Issue number3
DOIs
Publication statusPublished - Aug 21 2000
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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