Dimensional reduction breakdown and correction to scaling in the random-field Ising model

We provide a theoretical analysis by means of the nonperturbative functional renormalization group (NP-FRG) of the corrections to scaling in the critical behavior of the random-field Ising model (RFIM) near the dimension d_{DR}≈5.1 that separates a region where the renormalized theory at the fixed p...

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Published in:Physical review. E 2020-12, Vol.102 (6-1), p.062154-062154, Article 062154
Main Authors: Balog, Ivan, Tarjus, Gilles, Tissier, Matthieu
Format: Article
Language:English
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Summary:We provide a theoretical analysis by means of the nonperturbative functional renormalization group (NP-FRG) of the corrections to scaling in the critical behavior of the random-field Ising model (RFIM) near the dimension d_{DR}≈5.1 that separates a region where the renormalized theory at the fixed point is supersymmetric and critical scaling satisfies the d→d-2 dimensional reduction property (d>d_{DR}) from a region where both supersymmetry and dimensional reduction break down at criticality (d
ISSN:2470-0045
2470-0053
DOI:10.1103/PhysRevE.102.062154