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Phase Transitions in Low-Dimensional Systems and Renormalization Group Theory

  • A. P. Young
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 50)

Abstract

These two lectures are intended as an introduction to some of the model systems and theoretical techniques which will be discussed by other speakers at this school.

Keywords

Domain Wall Renormalization Group Correlation Length Ising Model Spin Model 
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.
    L.D. Landau and E.M. Lifshitz, “Statistical Physics”, 2nd ed. Pergamon (1969).Google Scholar
  2. 2.
    H.E. Stanley, “Introduction to Phase Transitions and Critical Phenomena”, O.U.P. (1971).Google Scholar
  3. 3.
    G.A. Baker, B.G. Nickel and D.I. Meiron, Phys. Rev. B17, 1365 (1978).ADSGoogle Scholar
  4. 4.
    H. Bethe, Proc. Roy. Soc. A150, 552 (1935).ADSGoogle Scholar
  5. 5.
    R. Kikuchi, Phys. Rev. 81, 988 (1951).MathSciNetADSMATHCrossRefGoogle Scholar
  6. 6.
    V.L. Ginzburg, Sov. Phys. — Solid St. 2, 1824 (1960).MathSciNetGoogle Scholar
  7. 7.
    K.G. Wilson and J. Kogut, Phys. Rep. 12C, 75 (1974);ADSCrossRefGoogle Scholar
  8. 7a.
    S.K. Ma, Rev. Mod. Phys. 45, 589 (1973);ADSCrossRefGoogle Scholar
  9. 7b.
    S.K. Ma ‘Modern Theory of Critical Phenomena’ (Benjamin) (1976);Google Scholar
  10. 7c.
    G. Toulouse and P. Pfeuty ‘Introduction au Groupe de Renormalisation’ (Presses Universitaires de Grenoble) (1975);Google Scholar
  11. 7c.
    M.E. Fisher, Rev. Mod. Phys. 46, 587 (1974).ADSCrossRefGoogle Scholar
  12. 8.
    L. Onsager, Phys. Rev. 65, 117 (1944).MathSciNetADSMATHCrossRefGoogle Scholar
  13. 9.
    D.R. Nelson and M.E. Fisher, Ann. Phys. (NY) 91, 226 (1975).MathSciNetADSCrossRefGoogle Scholar
  14. 10.
    M.E. Fisher, J. Math. Phys. 5, 944 (1964).ADSCrossRefGoogle Scholar
  15. 11.
    H.E. Stanley, Phys. Rev. 179, 570 (1969).ADSCrossRefGoogle Scholar
  16. 12.
    N.D. Mermin and H. Wagner, Phys. Rev. Lett. 17, 1133 (1966).ADSCrossRefGoogle Scholar
  17. 13.
    J.M. Kosterlitz and D.J. Thouless, Journal of Low Temperature Physics (to be published).Google Scholar
  18. 14.
    J.A. Krumhansl and J.R. Schrieffer, Phys. Rev. B11, 3535 (1975).ADSGoogle Scholar
  19. 15.
    P. Reed, M.A. Moore and A.J. Bray, J. Phys. C 11, L139 (1978).ADSCrossRefGoogle Scholar
  20. 16.
    A.J. Bray and M.A. Moore (to be published).Google Scholar
  21. 17.
    M.N. Barber, J. Phys. C. 8, L203 (1975);ADSCrossRefGoogle Scholar
  22. 17a.
    L.P. Kadanoff and A. Houghton, Phys. Rev. B11, 377 (1975).ADSGoogle Scholar
  23. 18.
    A.M. Polyakov, Phys. Lett. 59B, 79 (1975);MathSciNetADSGoogle Scholar
  24. 18a.
    E. Brezin, and J. Zinn-Justin, Phys. Rev. B14, 3110 (1976);ADSGoogle Scholar
  25. 18b.
    A.A. Migdal, Sov. Phys. JETP 42, 413, (1975)ADSGoogle Scholar
  26. 18c.
    A.M. Polyakov, Phys. Lett. 59B, 79 (1975);MathSciNetADSGoogle Scholar
  27. 18d.
    E. Brezin, and J. Zinn-Justin, Phys. Rev. B14, 3110 (1976);ADSGoogle Scholar
  28. 18e.
    A.A. Migdal, Sov. Phys. JETP 42, 743 (1976).ADSGoogle Scholar

Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • A. P. Young
    • 1
  1. 1.Dept. of MathematicsImperial CollegeLondonUK

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