Some exact results for the three-layer Zamolodchikov model

Details Some exact results for the three-layer Zamolodchikov model Some exact results for the three-layer Zamolodchikov model

2000-08-10

arxiv.org/abs/hep-th/0008085v1

Nucl.Phys. B592 (2001) 597-626

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 27 pages, 9 figures

Scientific paper

10.1016/S0550-3213(00)00619-2

In this paper we continue the study of the three-layer Zamolodchikov model started in our previous works. We analyse numerically the solutions to the Bethe ansatz equations. We consider two regimes I and II which differ by the signs of the spherical sides (a1,a2,a3)->(-a1,-a2,-a3). We accept the two-line hypothesis for the regime I and the one-line hypothesis for the regime II. In the thermodynamic limit we derive integral equations for distribution densities and solve them exactly. We calculate the partition function for the three-layer Zamolodchikov model and check a compatibility of this result with the functional relations. We also do some numerical checkings of our results.

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