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Absence of replica symmetry breaking in the random field Ising model

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arxiv 1404.7178 v2 pith:QWNYLU6M submitted 2014-04-28 math-ph math.MPmath.PR

Absence of replica symmetry breaking in the random field Ising model

classification math-ph math.MPmath.PR
keywords fieldisingmodelrandomreplicasymmetryabsencebreaking
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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  1. Self-averaging of replica overlaps in the random field Edwards-Anderson model

    math-ph 2026-06 unverdicted novelty 7.0

    Proves self-averaging of replica overlaps in the random-field EA model in any dimension using free energy derivatives and Tasaki's inequality.