Lattice system of interacting spins in the thermodynamical limit

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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16 pages

Scientific paper

In this paper we investigate some particular spin lattice (a higher dimensional generalization of a spin chain) related to Zamolodchikov model, in the limit when both sizes of the lattice tend to infinity. An infinite set of bilinear equations, describing a distribution of eigenvalues of infinite set of mutually commuting operators, is derived. The distribution for the maximal eigenvalues is obtained explicitly. The way to obtain the excitations is discussed.

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