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Conservation laws in the quantum version ofN-positional Potts model

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Abstract

A quantum analogue of theN-positional Potts model is constructed. The system is shown to possess an infinite set of involutory conservation laws in the phase transition point.

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References

  1. Onsager, L.: Phys. Rev.65, 117 (1944)

    Google Scholar 

  2. Fan, C., Wu, F.Y.: Phys. Rev. B2, 723 (1970)

    Google Scholar 

  3. Lieb, E.H.: Phys. Rev.162, 162 (1967); Phys. Rev. Lett.18, 1046 (1967); Phys. Rev. Lett.19, 108 (1967)

    Google Scholar 

  4. Baxter, R.J.: Phys. Rev. Lett.26, 832 (1971); Ann. Phys.70, 193 (1972); Ann. Phys.76, 1 (1973); Ann. Phys.76, 25 (1973)

    Google Scholar 

  5. Baxter, R.J.: Ann. Phys.70, 323 (1971); Phys. Rev. Lett.26, 834 (1971)

    Google Scholar 

  6. Lüscher, M.: Nucl. Phys. B117, 475 (1976)

    Google Scholar 

  7. Potts, R.B.: Proc. Camb. Phil. Soc.48, 106 (1952)

    Google Scholar 

  8. Kramers, H.A., Wannier, G.H.: Phys. Rev.60, 252 (1941)

    Google Scholar 

  9. Rumer, Yu. B.: Usp. Ph. N. L111, 247 (1954); Mittag, L., Stephen, M.J.: J. Math. Phys.12, 221 (1971); Pokrovsky, S.V.: Landau Institute Preprint, Chernogolovka 1979

    Google Scholar 

  10. Kulish, P.P., Sklyanin, E.K.: Steklov Math. Institute Preprint, Leningrad, 1979

  11. Carroll, J., Kogut, J., Sinclair, D.K., Susskind, L.: Lattice gauge theory calculations and the approach to the continuum limit CLNS - 325 (1975)

  12. Anshelevitch, V., Gusev, E.: Theor. Math. Phys. (in print)

  13. Anshelevitch, V.: Theor. Math. Phys. (in print)

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Communicated by Ja. G. Sinai

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Bashilov, Y.A., Pokrovsky, S.V. Conservation laws in the quantum version ofN-positional Potts model. Commun.Math. Phys. 76, 129–141 (1980). https://doi.org/10.1007/BF01212821

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  • DOI: https://doi.org/10.1007/BF01212821

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