paper

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

arXiv:1811.07003

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.

arXiv comment19 pages

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