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A remark on gauge symmetries in Ising spin glasses
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  • Published: 01 July 1999

A remark on gauge symmetries in Ising spin glasses

  • Alberto Gandolfi1 

Probability Theory and Related Fields volume 114, pages 419–430 (1999)Cite this article

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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.

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  1. Present address: Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA, USA

    Alberto Gandolfi

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  1. Alberto Gandolfi
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Received: 1 October 1997 / Revised version: 18 May 1998

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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

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  • Published: 01 July 1999

  • Issue Date: July 1999

  • DOI: https://doi.org/10.1007/s004400050230

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  • Mathematics Subject Classification (1991): Primary 60K35, 82B44; secondary 60C05, 82B43
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