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

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

1997-04-09

arxiv.org/abs/hep-th/9704074v2

Nucl.Phys. B503 (1997) 747-770

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX, references are added

Scientific paper

10.1016/S0550-3213(97)00520-8

We elaborate 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.

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