THE FUSING RULE AND THE SCATTERING MATRIX OF AFFINE TODA THEORY

被引：40

作者：

FRING, A

OLIVE, DI

机构：

[1] The Blackett Laboratory, Imperial College, London

来源：

NUCLEAR PHYSICS B | 1992年 / 379卷 / 1-2期

关键词：

D O I：

10.1016/0550-3213(92)90602-8

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：

Affine Toda theory is an integrable theory with many interesting features. Classically, the presence of trilinear couplings is given by Dorey's "fusing rule", whatever the simple Lie algebra concerned. This paper discusses the structure of this rule, alternative solutions and formulations, and the relationship to the quantum conservation laws. This insight is applied to the conjectured scattering matrix of the quantum theory. The crossing and bootstrap properties are verified in a general way, valid for any Lie algebra, but the analyticity properties require the extra assumption that the algebra be simply laced. Various identities satisfied by a Coxeter element play a crucial role.

引用

页码：429 / 447

页数：19

共 30 条

[11] THE EXACT S-MATRICES OF AFFINE TODA THEORIES BASED ON LIE-SUPERALGEBRAS [J].