Exact solution of the Ising model on group lattices of genus g>1

Journal of Mathematical Physics

Volumn 37, Issue 6, 1996, Pages 2796-2814

  Regge, Tullio ^a   Zecchina, Riccardo ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030535593     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531690     Document Type: Article

References (14)

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10. F. Lund, M. Rasetti, and T. Regge, Commun. Math. Phys. 51, 15 (1976); Theor. Mat. Fiz. 11, 246 (1977); M. Rasetti, "Ising Model on Finitely Presented Groups," in Group Theoretical Methods in Physics, edited by M. Serdaroǧlu and E. Inönü, Lecture Notes in Physics (Springer-Verlag, Berlin, 1983), Vol. 180.
11. F. Lund, M. Rasetti, and T. Regge, Commun. Math. Phys. 51, 15 (1976); Theor. Mat. Fiz. 11, 246 (1977); M. Rasetti, "Ising Model on Finitely Presented Groups," in Group Theoretical Methods in Physics, edited by M. Serdaroǧlu and E. Inönü, Lecture Notes in Physics (Springer-Verlag, Berlin, 1983), Vol. 180.
12. F. Lund, M. Rasetti, and T. Regge, Commun. Math. Phys. 51, 15 (1976); Theor. Mat. Fiz. 11, 246 (1977); M. Rasetti, "Ising Model on Finitely Presented Groups," in Group Theoretical Methods in Physics, edited by M. Serdaroǧlu and E. Inönü, Lecture Notes in Physics (Springer-Verlag, Berlin, 1983), Vol. 180.
13. M. Rasetti and R. Zecchina, Physica A 199, 539 (1993).
14. Not all determinants can be computed symbolically but all of them can be evaluated numerically by very fast algorithms.