Bound states of the transfer matrix of the Ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 213-218 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The Ising model on a $\nu+1$-dimensional lattice $(\nu>2)$ at large values of the temperature $T$ is considered. It is shown that the transfer matrix of the limit field has no bound states with spectrum $\sim1/T^2$.
@article{TMF_1984_58_2_a5,
     author = {Sh. S. Mamatov},
     title = {Bound states of the transfer matrix of the {Ising} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {213--218},
     year = {1984},
     volume = {58},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a5/}
}
TY  - JOUR
AU  - Sh. S. Mamatov
TI  - Bound states of the transfer matrix of the Ising model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1984
SP  - 213
EP  - 218
VL  - 58
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a5/
LA  - ru
ID  - TMF_1984_58_2_a5
ER  - 
%0 Journal Article
%A Sh. S. Mamatov
%T Bound states of the transfer matrix of the Ising model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1984
%P 213-218
%V 58
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a5/
%G ru
%F TMF_1984_58_2_a5
Sh. S. Mamatov. Bound states of the transfer matrix of the Ising model. Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 213-218. http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a5/

[1] Minlos R. A., Sinai Ya. G., TMF, 2:2 (1970), 230–243 | MR

[2] Abdulla-zade F. G., Minlos R. A., Pogosyan S. K., Mnogokomponentnye sluchainye sistemy, Nauka, M., 1978, 5–29 | MR

[3] Malyshev V. A., Minlos R. A., J. Stat. Phys., 21:3 (1979), 231–242 | DOI | MR

[4] Malyshev V. A., Minlos R. A., Commun. Math. Phys., 82 (1981), 211–226 | DOI | MR | Zbl

[5] Onsager L., Phys. Rev., 65 (1944), 117 | DOI | MR | Zbl

[6] Malyshev V. A., UMN, 35:2 (1980), 3–53 | MR