Physics of Atomic Nuclei

, Volume 65, Issue 6, pp 984–989 | Cite as

Some exact results for the three-layer zamolodchikov model

  • H. E. Boos
  • V. V. Mangazeev
Symposium on Integrable Systems


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.


Integral Equation Elementary Particle Partition Function Distribution Density Recent Result 
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Copyright information

© MAIK "Nauka/Interperiodica" 2002

Authors and Affiliations

  • H. E. Boos
    • 2
  • V. V. Mangazeev
    • 1
    • 2
  1. 1.Centre for Mathematics and Its Applications, School of Mathematical SciencesAustralian National UniversityCanberraAustralia
  2. 2.Institute for High Energy PhysicsProtvino, Moscow oblastRussia

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