Spin Glass Identities and the Nishimori Line
Disordered Systems and Neural Networks
2008-05-13 v2
Abstract
For a general spin glass model with asymmetric couplings we prove a family of identities involving expectations of generalized overlaps and magnetizations in the quenched state. Those identities holds pointwise in the Nishimori line and are reached at the rate of the inverse volume while, in the general case, they can be proved in integral average.
Keywords
Cite
@article{arxiv.0805.0754,
title = {Spin Glass Identities and the Nishimori Line},
author = {Pierluigi Contucci and Cristian Giardina and Hidetoshi Nishimori},
journal= {arXiv preprint arXiv:0805.0754},
year = {2008}
}
Comments
23 pages