Absence of Replica Symmetry Breaking in Finite Fifth Moment Random Field Ising Model

Published 16 Nov 2018 in math-ph, cond-mat.stat-mech, math.MP, and math.PR | (1811.07003v3)

Abstract: This work is concerned with the theory of the Random Field Ising Model on the hypercubic lattice, in the presence of a independent disorder with finite fifth moment. We showed the absence of replica symmetry in any dimensions, at any temperature and field strength, almost surely.

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