Zero curvature representation for classical lattice sine-Gordon model via quantum R-matrix
Zabrodin A.V.
Local M-operators for the classical sine-Gordon model in discrete space-time are constructed by convolution of the quantum trigonometric 4x4 Ji-matrix with certain vectors in its "quantum" space. Components of the vectors are τ-functions of the model. This construction generalizes the known representation of continuous time M-operators through classical r-matrix. PACS: 11.30.Na
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![](/ps/1022/article_15525_800_head.png "<b>Local M-operators for the classical sine-Gordon model in discrete space-time are constructed by convolution of the quantum trigonometric 4x4 Ji-matrix with certain vectors in its "quantum" space. Components of the vectors are τ-functions of the model. This construction generalizes the known representation of continuous time M-operators through classical r-matrix.</b> PACS: 11.30.Na")