Summary
A new method for spin lattice models is developed. An algorithm for the construction of the continuous-integral representation for the partition function is formulated. A method for finding the critical point of the two-dimensional models is developed.
Riassunto
Si sviluppa un nuovo metodo per i modelli del reticolo di spin. Si formula un algoritmo per la costruzione di una rappresentazione integrale continua per la funzione di partizione. Si sviluppa un metodo per trovare il punto critico dei modelli bidimensionali.
Резюме
В работе развит новый метод для исследования решеточных моделей. Сформулирован алгоритм построения континицуального представления для статсуммы. Излагается метод нахождения критической точки для двумерных моделей.
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References
a) M. S. Green andC. A. Hurst:Order-disorder phenomena; b) Phase transitions and critical phenomena, edited byM. S. Green andC. Domb, Vol.1, 2.
E. S. Fradkin:Proceedings of the IV Winter School of Theoretical Physics in Karpacz (February 1967), Acta Universitatis Wratislaviensis, No. 89, p. 35,Problems of Theoretical Physics (essay dedicated to Bogolubov 60-birthday) (Moscow, 1969), p. 399.
F. A. Berezin:Proceedings of the IV Winter School of Theoretical Physics in Karpacz (February 1967),Acta Universitatis Wratislaviensis, No. 89, p. 103.
E. S. Fradkin andD. M. Shteingradt: preprints,a) Lebedev Phys. Inst., Moscow, No. 90 (1975);b) Lebedev Phys. Inst., Moscow, No. 100 (1976);c) Lebedev Phys. Inst., Moscow, No. 145 (1976);d) Inst. für theoretische Physik, ETH, CH 8049, Zürich (1977).
F. A. Berezin:Secondary Quantisation Method (Moscow).
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Fradkin, E.S., Shteingradt, D.M. A continuous-integral method for spin lattice models. Nuov Cim A 47, 115–138 (1978). https://doi.org/10.1007/BF02896231
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DOI: https://doi.org/10.1007/BF02896231