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Yang—Baxter Relation

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Strings, Conformal Fields, and Topology

Part of the book series: Graduate Texts in Contemporary Physics ((GTCP))

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Abstract

Throughout the previous chapters, we have seen the close relationship between conformal field theory and two-dimensional statistical mechanics. In fact, at criticality, the detailed behavior of a statistical mechanical system gets washed out, and universality sets in. Since we have a complete classification of certain classes of conformal field theories, we should be able to catalog the models of statistical mechanics at criticality according to known representations of conformal field theories.

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References

  1. C. N. Yang, Phys. Rev. 85, 808 (1952); Phys. Rev. Lett. 19, 1312 (1967).

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  2. R. J. Baxter, Exactly Solved Models in Statistical Mechanics, Academic Press, San Diego, 1982; Ann. Phys. 70, 193 (1972).

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For reviews, see Refs. 3–6

  1. E. H. Lieb and F. Y. Wu, in Phase Transitions and Critical Phenomena, C. Domb and M. S. Green, eds., Academic Press, San Diego (1972).

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  2. M. N. Barber in Phase Transitions and Critical Phenomena, C. Domb and J. L. Lebowitz, eds., Academic Press, San Diego (1983).

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  3. H. W. Diehl in Phase Transitions and Critical Phenomena, 10, C. Domb and J. L. Lebowitz, eds., Academic Press, San Diego (1986).

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

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  5. E. Ising, Z. Physik. 31, 253 (1925).

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  6. L. Onsager, Phys. Rev. 65, 117 (1944).

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Authors and Affiliations

  1. Department of Physics, City College of the City University of New York, New York, NY, 10031, USA

    Michio Kaku

Authors
  1. Michio Kaku
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© 1991 Springer-Verlag New York, Inc.

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Kaku, M. (1991). Yang—Baxter Relation. In: Strings, Conformal Fields, and Topology. Graduate Texts in Contemporary Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0397-8_6

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  • DOI: https://doi.org/10.1007/978-1-4684-0397-8_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4684-0399-2

  • Online ISBN: 978-1-4684-0397-8

  • eBook Packages: Springer Book Archive

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