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Absence of replica symmetry breaking in the random field Ising model

Published 28 Apr 2014 in math-ph, math.MP, and math.PR | (1404.7178v2)

Abstract: It is shown that replica symmetry is not broken in the random field Ising model in any dimension, at any temperature and field strength, except possibly at a measure-zero set of exceptional temperatures and field strengths.

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