A remark on gauge symmetries in Ising spin glasses |
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| Authors: | Alberto Gandolfi |
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| Institution: | (1) Present address: Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA, US;(2) Permanent address: Dipartimento di Matematica, Università di Roma Tor Vergata, Viale della Ricerca Scientifica, I-00133 Roma, Italy, IT |
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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.
Received: 1 October 1997 / Revised version: 18 May 1998 |
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| Keywords: | Mathematics Subject Classification (1991): Primary 60K35 82B44 secondary 60C05 82B43 |
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