Nonperturbative functional renormalization group for random-field models: the way out of dimensional reduction.

Abstract

We develop a nonperturbative functional renormalization group approach for the random-field O(N) model that allows us to investigate the ordering transition in any dimension and for any value of N including the Ising case. We show that the failure of dimensional reduction and standard perturbation theory is due to the nonanalytic nature of the zero… (More)

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