Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Kardar-Parisi-Zhang equation with spatially correlated noise: a
  unified picture from nonperturbative renormalization group   We investigate the scaling regimes of the Kardar-Parisi-Zhang equation in the
presence of spatially correlated noise with power law decay $D(p) \sim
p^{-2\rho}$ in Fourier space, using a nonperturbative renormalization group
approach. We determine the full phase diagram of the system as a function of
$\rho$ and the dimension $d$. In addition to the weak-coupling part of the
diagram, which agrees with the results from Refs. [Europhys. Lett. 47, 14
(1999), Eur. Phys. J. B 9, 491 (1999)], we find the two fixed points describing
the short-range (SR) and long-range (LR) dominated strong-coupling phases. In
contrast with a suggestion in the references cited above, we show that, for all
values of $\rho$, there exists a unique strong-coupling SR fixed point that can
be continuously followed as a function of $d$. We show in particular that the
existence and the behavior of the LR fixed point do not provide any hint for 4
being the upper critical dimension of the KPZ equation with SR noise.

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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph