The Bethe ansatz and the Tzitzeica-Bullough-Dodd equation

被引：32
|
作者：
Dorey, Patrick [1 ]
Faldella, Simone [2 ]
Negro, Stefano [3 ,4 ]
Tateo, Roberto [3 ,4 ]
机构：
[1] Univ Durham, Dept Math Sci, Durham DH1 3LE, England
[2] Univ Bourgogne, Inst Math Bourgogne, F-21078 Dijon, France
[3] Univ Torino, Dip Fis Teor, I-10125 Turin, Italy
[4] Univ Torino, Ist Nazl Fis Nucl, I-10125 Turin, Italy
来源：
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2013年 / 371卷 / 1989期
关键词：
spectral problems; affine Toda field theory; Bethe ansatz; ANISOTROPIC HEISENBERG CHAIN; CONFORMAL FIELD-THEORY; INTEGRABLE STRUCTURE; LATTICE STATISTICS; 8-VERTEX MODEL; ANHARMONIC-OSCILLATORS; STOKES MULTIPLIERS; ISING-MODEL; REALITY; MATRIX;
D O I：
10.1098/rsta.2012.0052
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The theory of classically integrable nonlinear wave equations and the Bethe ansatz systems describing massive quantum field theories defined on an infinite cylinder are related by an important mathematical correspondence that still lacks a satisfactory physical interpretation. In this paper, we shall extend this link to the case of the classical and quantum versions of the Tzitzeica-Bullough-Dodd model.
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页数：15
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