Some exact results for the three-layer Zamolodchikov model

H. E. Boos*, V. V. Mangazeev

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this talk, we present our recent results on the three-layer Zamolodchikov model. We discuss solutions to the Bethe ansatz equations following from functional relations. We consider two regimes I and II that differ by the signs of the spherical sides (a1, a2, a3) → (-a1, -a2, -a3). Also, we accept the two-line hypothesis for regime I and the one-line hypothesis for regime II. In the thermodynamic limit, we derive integral equations for distribution densities and solve them exactly. Using this solution, we calculate the partition function for the three-layer Zamolodchikov model and check the compatibility of this result with functional relations. We also discuss the reasons for the discrepancy with Baxter's result of 1986.

Original languageEnglish
Pages (from-to)984-989
Number of pages6
JournalPhysics of Atomic Nuclei
Issue number6
Publication statusPublished - Jun 2002
Externally publishedYes


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