Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonperturbative Functional Renormalization Group for Random Field
  Models. IV: Supersymmetry and its spontaneous breaking   We apply the nonperturbative functional renormalization group (NP-FRG) in the
superfield formalism that we have developed in the preceding paper to study
long-standing issues concerning the critical behavior of the random field Ising
model. Through the introduction of an appropriate regulator and a
supersymmetry-compatible nonperturbative approximation, we are able to follow
the supersymmetry, more specifically the superrotational invariance first
unveiled by Parisi and Sourlas [Phys. Rev. Lett. 43, 744 (1979)], and its
spontaneous breaking along the RG flow. Breaking occurs below a critical
dimension dDR \simeq 5.1, and the supersymmetry-broken fixed point that
controls the critical behavior then leads to a breakdown of the "dimensional
reduction" property. We solve the NP-FRG flow equations numerically and
determine the critical exponents as a function of dimension down to d < 3, with
a good agreement in d = 3 and d = 4 with the existing numerical estimates.

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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: math
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga