Abstract.
This paper studies a particular line in the parameter space of the FK random interaction random cluster model for spin glasses following Katsura ([K]) and Mazza ([M]). We show that, after averaging over the random couplings, the occupied FK bonds have exactly a Bernoulli distribution. Comparison with explicit calculations on trees confirms the marginal role of FK percolation in determining phase transitions.
Author information
Authors and Affiliations
Additional information
Received: 1 October 1997 / Revised version: 18 May 1998
Rights and permissions
About this article
Cite this article
Gandolfi, A. A remark on gauge symmetries in Ising spin glasses. Probab. Theory Relat. Fields 114, 419–430 (1999). https://doi.org/10.1007/s004400050230
Published:
Issue Date:
DOI: https://doi.org/10.1007/s004400050230
- Mathematics Subject Classification (1991): Primary 60K35, 82B44; secondary 60C05, 82B43