Bound states of the transfer matrix of the Ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 213-218
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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/}
}
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