Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonperturbative renormalization group for the stationary
  Kardar-Parisi-Zhang equation: scaling functions and amplitude ratios in 1+1,
  2+1 and 3+1 dimensions   We investigate the strong-coupling regime of the stationary
Kardar-Parisi-Zhang equation for interfaces growing on a substrate of dimension
d=1, 2, and 3 using a nonperturbative renormalization group (NPRG) approach. We
compute critical exponents, correlation and response functions, extract the
related scaling functions and calculate universal amplitude ratios. We work
with a simplified implementation of the second-order (in the response field)
approximation proposed in a previous work [PRE 84, 061128 (2011) and Erratum
86, 019904 (2012)], which greatly simplifies the frequency sector of the NPRG
flow equations, while keeping a nontrivial frequency dependence for the 2-point
functions. The one-dimensional scaling function obtained within this approach
compares very accurately with the scaling function obtained from the full
second-order NPRG equations and with the exact scaling function. Furthermore,
the approach is easily applicable to higher dimensions and we provide scaling
functions and amplitude ratios in d=2 and d=3. We argue that our ansatz is
reliable up to d \simeq 3.5.

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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: math