Abstract
I review the revolutionary impact Rodney Baxter has had on statistical mechanics beginning with his solution of the 8 vertex model in 1971 and the invention of corner transfer matrices in 1976 to the creation of the RSOS models in 1984 and his continuing current work on the chiral Potts model.
Similar content being viewed by others
REFERENCES
L. Onsager, Phys. Rev. 65:117 (1944).
B. Kaufman, Phys. Rev. 76:1232 (1949).
B. Kaufman and L. Onsager, Phys. Rev. 76:1244 (1949).
C. N. Yang, Phys. Rev. 85:808 (1952).
E. H. Lieb, Phys. Rev. Letts. 18:692 (1967); 18:1046 (1967); 19:108 (1967); Phys. Rev. 162:162 (1967).
R. Orbach, Phys. Rev. 112:309 (1958).
L. R. Walker, Phys. Rev. 116:1089 (1959).
J. des Cloizeaux and M. Gaudin, J. Math. Phys. 7:1384 (1966).
C. N. Yang and C. P. Yang, Phys. Rev. 150:321, 327 (1966).
H. A. Bethe, Z. Physik 71:205 (1931).
B. M. McCoy and T. T. Wu, Il Nuovo Cimento 56:311 (1968).
B. Sutherland, J. Math. Phys. 11:3183 (1970).
R. J. Baxter, Phys. Rev. Lett. 26:832 (1971).
R. J. Baxter, Phys. Rev. Lett. 26:834 (1971).
R. J. Baxter, Ann. Phys. 70:193, 323 (1972).
G. H. Wannier, Rev. Mod. Phys. 17:50 (1945).
J. B. McGuire, J. Math. Phys. 5:622 (1964); 6:432 (1965); 7:123 (1967).
C. N. Yang, Phys. Rev. Lett. 19:1312 (1967).
V. G. Drinfel'd, Soviet Math. Doklady 32:254 (1985).
M. Jimbo, Lett. Math. Phys. 10:63 (1985).
L. Onsager, discussion, Nuovo Cimento 6, suppl., 261 (1949).
M. N. Barber and R. J. Baxter, J. Phys. C 6:2913 (1973).
R. J. Baxter, J. Stat. Phys. 15:485 (1976).
R. J. Baxter, J. Stat. Phys. 17:1 (1977).
R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, 1982).
R. J. Baxter, J. Stat. Phys. 9:145 (1973).
G. E. Andrews, R. J. Baxter, and P. J. Forrester, J. Stat. Phys. 35:193 (1984).
R. J. Baxter, Ann. Phys. 76:1, 25, 48 (1973).
R. J. Baxter, J. Stat. Phys. 26:427 (1981).
L. J. Rogers, Proc. Lond. Math. Soc. 25:318 (1894).
L. J. Rogers and S. Ramanujan, Proc. Camb. Phil. Soc. 19:315 (1919).
P. J. Forrester and R. J. Baxter, J. Stat. Phys. 38:435 (1985).
B. L. Feigin and D. B. Fuchs, Funct. Anal. and Appl. 16:114 (1982).
A. Rocha-Caridi, in Vertex Operators in Mathematics and Physics, J. Lepowsky, S. Mandelstam, and I. Singer, eds. (Springer-Verlag, New York, 1985), p. 451.
A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, J. Stat. Phys. 34:763 (1984); Nucl. Phys. B 241:333 (1984).
P. Goddard, A. Kent, and D. Olive, Phys. Lett. B 152:88 (1985); Comm. Math. Phys. 103:105 (1986).
H. Au-Yang, B. M. McCoy, J. H. H. Perk, S. Tang, and M.-L. Yan, Phys. Lett. A 123:219 (1987).
B. M. McCoy, J. H. H. Perk, S. Tang, and C. H. Sah, Phys. Lett. A 125:9 (1987).
R. J. Baxter, J. H. H. Perk, and H. Au-Yang, Phys. Letts. A 128:138 (1988).
R. J. Baxter, Phys. Lett. A 133:185 (1988).
G. Albertini, B. M. McCoy, and J. H. H. Perk, Phys. Lett. A 135:159 (1989).
G. Albertini, B. M. McCoy, and J. H. H. Perk, Phys. Lett. A 139:204 (1989); and in Advanced Studies in Pure Mathematics, Vol. 19, M. Jimbo, T. Miwa, and A. Tsuchiya, eds. (Kinokuniya Academic Press, Tokyo, 1989), p. 1.
R. J. Baxter, V. V. Bazhanov, and J. H. H. Perk, Int. J. Mod. Phys. B 4:803 (1990).
R. J. Baxter, J. Stat. Phys. 52:639 (1988).
S. Howes, L. P. Kadanoff, and M. den Nijs, Nucl. Phys. B 215[FS7]:169 (1983).
G. Albertini, B. M. McCoy, J. H. H. Perk, and S. Tang, Nucl. Phys. B 314:741 (1989).
R. J. Baxter, J. Stat. Phys. 70:535 (1993).
R. J. Baxter, J. Stat. Phys. 91:499 (1998).
R. J. Baxter, in Proceedings of the International Congress of Mathematicians (Springer-Verlag, 1990), p. 1309.
R. J. Baxter, J. Phys. A 31:6807 (1998).
R. J. Baxter, Physica A 260:117 (1998).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
McCoy, B.M. The Baxter Revolution. Journal of Statistical Physics 102, 375–384 (2001). https://doi.org/10.1023/A:1004894530125
Issue Date:
DOI: https://doi.org/10.1023/A:1004894530125