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Critical behavior and associated conformal algebra of the Z3 potts model

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Abstract

The conformal algebra for operators of theZ 3 model at the phase transition point is built. Critical exponents are found in this approach as solutions of simple algebraic equations, which are consistency conditions of the algebra. Multipoint correlation functions obey linear differential equations. Some solutions are given for the four-point correlation functions of theZ 3 model at the phase transition point.

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References

  1. R. B. Potts,Proc. Cambridge Philos. Soc. 48:106 (1952).

    Google Scholar 

  2. R. J. Baxter,J. Phys. C 6:L445 (1973).

    Google Scholar 

  3. T. T. Wu,Rev. Mod. Phys. 54:235 (1982).

    Google Scholar 

  4. R. J. Baxter,Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982).

    Google Scholar 

  5. A. M. Polyakov,Zh. Eksp. Teor. Fiz. Pis'ma Red. 12:538 (1970).

    Google Scholar 

  6. A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov,J. Slat. Phys. 34:763 (1984);Nucl. Phys. B, in press.

    Google Scholar 

  7. B. M. McCoy and T. T. Wu,The Two-Dimensional Ising Model (Harvard Univ. Press, Cambridge, Massachusetts, 1973).

    Google Scholar 

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

    Google Scholar 

  9. L. P. Kadanoff and H. Ceva,Phys. Rev. D 3:3918 (1971).

    Google Scholar 

  10. E. Fradkin and L. P. Kadanoff,Nucl. Phys. B170 FSI:1 (1980).

    Google Scholar 

  11. M. A. Virasoro,Phys. Rev. D 1:2933 (1970).

    Google Scholar 

  12. V. G. Kac,Lecture Notes Phys. V 94:441 (1979).

    Google Scholar 

  13. Any textbook on linear differential equations.

  14. A. Luther and I. Peschel,Phys. Rev. B 12:3908 (1975).

    Google Scholar 

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Dotsenko, V.S. Critical behavior and associated conformal algebra of the Z3 potts model. J Stat Phys 34, 781–791 (1984). https://doi.org/10.1007/BF01009440

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  • DOI: https://doi.org/10.1007/BF01009440

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