A remark on gauge symmetries in Ising spin glasses

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)419-430
Number of pages12
JournalProbability Theory and Related Fields
Volume114
Issue number4
DOIs
StatePublished - Jan 1 1999

Fingerprint

Gauge Symmetry
Spin Glass
Ising
Random-cluster Model
Bernoulli
Averaging
Parameter Space
Phase Transition
Line
Interaction
Symmetry

Keywords

  • FK model
  • Gauge invariance
  • Percolation
  • Spin glasses

ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

A remark on gauge symmetries in Ising spin glasses. / Gandolfi, Alberto.

In: Probability Theory and Related Fields, Vol. 114, No. 4, 01.01.1999, p. 419-430.

Research output: Contribution to journalArticle

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