Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scale Invariant Dynamics of Surface Growth   We describe in detail and extend a recently introduced nonperturbative
renormalization group (RG) method for surface growth. The scale invariant
dynamics which is the key ingredient of the calculation is obtained as the
fixed point of a RG transformation relating the representation of the
microscopic process at two different coarse-grained scales. We review the RG
calculation for systems in the Kardar-Parisi-Zhang universality class and
compute the roughness exponent for the strong coupling phase in dimensions from
1 to 9. Discussions of the approximations involved and possible improvements
are also presented. Moreover, very strong evidence of the absence of a finite
upper critical dimension for KPZ growth is presented. Finally, we apply the
method to the linear Edwards-Wilkinson dynamics where we reproduce the known
exact results, proving the ability of the method to capture qualitatively
different behaviors.

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The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th