Abstract
We consider spin systems in two dimensions having the discrete symmetry group Z N . We give a bound on the spontaneous magnetization for such systems which reduces to the classical Mermin-Wager argument as N goes to infinity.
Similar content being viewed by others
References
De Angelis, G.F., De Falco, D., and Guerra, F., Lett. Nuovo Cimento 19, 55 (1977).
De Angelis, G.F., De Falco, D., Guerra, F., and Marra, R., Acta Physica Austriaca, Suppl. XIX, 205 (1978).
Parisi, G., ‘Recent Progresses in Gauge Theories’, Preprint LNF-80/52(P), Laboratori Nazionali di Frascati.
Mermin, N.D., J. Math. Phys. 8, 1061 (1967).
Dobrushin, R.L. and Shlosman, S.B., Comm. Math. Phys. 42, 31 (1975).
Elitzur, S., Pearson, R.B., and Shigemitsu, J., Phys. Rev. D19, 3698 (1979).
Author information
Authors and Affiliations
Additional information
Research supported in part by NSF PHY 78-23952.
Rights and permissions
About this article
Cite this article
de Angelis, G.F., de Falco, D. An estimate on the large N behavior of Z N spin systems in two dimensions. Lett Math Phys 5, 475–479 (1981). https://doi.org/10.1007/BF00408128
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00408128