Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-Loop Renormalization Group Analysis of the
  Burgers-Kardar-Parisi-Zhang Equation   A systematic analysis of the Burgers--Kardar--Parisi--Zhang equation in $d+1$
dimensions by dynamic renormalization group theory is described. The fixed
points and exponents are calculated to two--loop order. We use the dimensional
regularization scheme, carefully keeping the full $d$ dependence originating
from the angular parts of the loop integrals. For dimensions less than $d_c=2$
we find a strong--coupling fixed point, which diverges at $d=2$, indicating
that there is non--perturbative strong--coupling behavior for all $d \geq 2$.
At $d=1$ our method yields the identical fixed point as in the one--loop
approximation, and the two--loop contributions to the scaling functions are
non--singular. For $d>2$ dimensions, there is no finite strong--coupling fixed
point. In the framework of a $2+\epsilon$ expansion, we find the dynamic
exponent corresponding to the unstable fixed point, which describes the
non--equilibrium roughening transition, to be $z = 2 + {\cal O} (\epsilon^3)$,
in agreement with a recent scaling argument by Doty and Kosterlitz. Similarly,
our result for the correlation length exponent at the transition is $1/\nu =
\epsilon + {\cal O} (\epsilon^3)$. For the smooth phase, some aspects of the
crossover from Gaussian to critical behavior are discussed.

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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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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: hep-lat
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The categories of this paper are: bayes-an