On trigonometric intertwining vectors and non-dynamical R-matrix for the Ruijsenaars model

A. Antonov, K. Hasegawa, A. Zabrodin

研究成果: Article査読

33 被引用数 (Scopus)

抄録

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 An type. A connection with the dynamical R-matrix approach is discussed.

本文言語English
ページ(範囲)747-770
ページ数24
ジャーナルNuclear Physics B
503
3
DOI
出版ステータスPublished - 1997 10月 20

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学

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