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Communications in Mathematical Physics

, Volume 76, Issue 2, pp 129–141 | Cite as

Conservation laws in the quantum version ofN-positional Potts model

  • Yu. A. Bashilov
  • S. V. Pokrovsky
Article

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.

Keywords

Neural Network Phase Transition Statistical Physic Complex System Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Onsager, L.: Phys. Rev.65, 117 (1944)Google Scholar
  2. 2.
    Fan, C., Wu, F.Y.: Phys. Rev. B2, 723 (1970)Google Scholar
  3. 3.
    Lieb, E.H.: Phys. Rev.162, 162 (1967); Phys. Rev. Lett.18, 1046 (1967); Phys. Rev. Lett.19, 108 (1967)Google Scholar
  4. 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. 5.
    Baxter, R.J.: Ann. Phys.70, 323 (1971); Phys. Rev. Lett.26, 834 (1971)Google Scholar
  6. 6.
    Lüscher, M.: Nucl. Phys. B117, 475 (1976)Google Scholar
  7. 7.
    Potts, R.B.: Proc. Camb. Phil. Soc.48, 106 (1952)Google Scholar
  8. 8.
    Kramers, H.A., Wannier, G.H.: Phys. Rev.60, 252 (1941)Google Scholar
  9. 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 1979Google Scholar
  10. 10.
    Kulish, P.P., Sklyanin, E.K.: Steklov Math. Institute Preprint, Leningrad, 1979Google Scholar
  11. 11.
    Carroll, J., Kogut, J., Sinclair, D.K., Susskind, L.: Lattice gauge theory calculations and the approach to the continuum limit CLNS - 325 (1975)Google Scholar
  12. 12.
    Anshelevitch, V., Gusev, E.: Theor. Math. Phys. (in print)Google Scholar
  13. 13.
    Anshelevitch, V.: Theor. Math. Phys. (in print)Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Yu. A. Bashilov
    • 1
  • S. V. Pokrovsky
    • 1
  1. 1.L. D. Landau Institute for Theoretical PhysicsAcademy of SciencesChernogolovka, Moscow RegionUSSR

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