Zero curvature representation for classical lattice sine-Gordon equation via quantum R-matrix

Details Zero curvature representation for classical lattice sine-Gordon equation via quantum R-matrix Zero curvature representation for classical lattice sine-Gordon equation via quantum R-matrix

1997-09-23

arxiv.org/abs/hep-th/9709168v2

JETP Lett. 66 (1997) 653-659

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX (misprints are corrected)

Scientific paper

10.1134/1.567561

Local M-operators for the classical sine-Gordon model in discrete space-time are constructed by convolution of the quantum trigonometric 4$\times$4 R-matrix with certain vectors in its "quantum" space. Components of the vectors are identified with $\tau$-functions of the model. This construction generalizes the known representation of M-operators in continuous time models in terms of Lax operators and classical $r$-matrix.

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