English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We apply the nonperturbative functional renormalization group (NP-FRG) in thesuperfield formalism that we have developed in the preceding paper to studylong-standing issues concerning the critical behavior of the random field Isingmodel. Through the introduction of an appropriate regulator and asupersymmetry-compatible nonperturbative approximation, we are able to followthe supersymmetry, more specifically the superrotational invariance firstunveiled by Parisi and Sourlas [Phys. Rev. Lett. 43, 744 (1979)], and itsspontaneous breaking along the RG flow. Breaking occurs below a criticaldimension dDR \simeq 5.1, and the supersymmetry-broken fixed point thatcontrols the critical behavior then leads to a breakdown of the "dimensionalreduction" property. We solve the NP-FRG flow equations numerically anddetermine the critical exponents as a function of dimension down to d < 3, witha good agreement in d = 3 and d = 4 with the existing numerical estimates.

Nonperturbative Functional Renormalization Group for Random Field Models. IV: Supersymmetry and its spontaneous breaking