VERTEX OPERATORS IN SOLVABLE LATTICE MODELS

被引：48

作者：

FODA, O

JIMBO, M

MIKI, K

NAKAYASHIKI, A

MIWA, T

机构：

[1] KYOTO UNIV,FAC SCI,DEPT MATH,KYOTO 606,JAPAN

[2] KYOTO UNIV,MATH SCI RES INST,KYOTO 606,JAPAN

[3] OSAKA UNIV,DEPT MATH SCI,TOYONAKA,OSAKA 560,JAPAN

[4] KOBE UNIV,GRAD SCH SCI & TECHNOL,KOBE 657,JAPAN

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1994年 / 35卷 / 01期

关键词：

D O I：

10.1063/1.530783

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The basic properties of q-vertex operators are formulated in the context of the Andrews-Baxter-Forrester (ABF) series, as an example of face interaction models, the q-difference equations satisfied by their correlation functions are derived, and their connection with representation theory established. The q-difference equations of the Kashiwara-Miwa (KM) series are discussed as an example of edge interaction models. Next, the Ising model, the simplest special case of both ABF and KM series, is studied in more detail using the Jordan-Wigner fermions. In particular, all matrix elements of vertex operators are calculated.

引用

页码：13 / 46

页数：34

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