On trigonometric intertwining vectors and non-dynamical R-matrix for the Ruijs']jsenaars model

被引：38

作者：

Antonov, A

Hasegawa, K

Zabrodin, A

机构：

[1] LD LANDAU THEORET PHYS INST, MOSCOW 117940, RUSSIA

[2] TOHOKU UNIV, INST MATH, SENDAI, MIYAGI 980, JAPAN

[3] JOINT INST CHEM PHYS, MOSCOW 117334, RUSSIA

[4] INST THEORET & EXPT PHYS, MOSCOW 117259, RUSSIA

来源：

NUCLEAR PHYSICS B | 1997年 / 503卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

trigonometric Rui[!text type='js']js[!/text]enaars model; vertex-face correspondence; quantum L-operator;

D O I：

10.1016/S0550-3213(97)00520-8

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：

We elaborate on the trigonometric Version of intertwining Vectors and factorized L-operators. The starting point is the corresponding elliptic construction with Belavin's R-matrix. The naive trigonometric limit is singular and a careful analysis is needed. It is shown that the construction admits several different trigonometric degenerations. As a by-product, a quantum Lax operator for the trigonometric Ruijsenaars model intertwined by a non-dynamical R-matrix is obtained. The latter differs from the standard trigonometric R-matrix of A(n) type. A connection with the dynamical R-matrix approach is discussed. (C) 1997 Elsevier Science B.V. PACS: 11.10.-z.

引用

页码：747 / 770

页数：24

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