A remark on gauge symmetries in Ising spin glasses

Alberto Gandolfi

doi:10.1007/s004400050230

A remark on gauge symmetries in Ising spin glasses

Alberto Gandolfi

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	419-430
Number of pages	12
Journal	Probability Theory and Related Fields
Volume	114
Issue number	4
DOIs	https://doi.org/10.1007/s004400050230
State	Published - Aug 1999

Keywords

FK model
Gauge invariance
Percolation
Spin glasses

ASJC Scopus subject areas

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

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10.1007/s004400050230

Cite this

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A remark on gauge symmetries in Ising spin glasses

Abstract

Keywords

ASJC Scopus subject areas

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