Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization Group, Operator Product Expansion, and Anomalous Scaling
  in a Model of Advected Passive Scalar   Field theoretical renormalization group methods are applied to the
Obukhov--Kraichnan model of a passive scalar advected by the Gaussian velocity
field with the covariance $<{\bf v}(t,{\bf x}){\bf v}(t',{\bf x})> - < v(t,{\bf
x}){\bf v}(t',x')> \propto\delta(t-t')| x-x'|^{\eps}$. Inertial range anomalous
scaling for the structure functions and various pair correlators is established
as a consequence of the existence in the corresponding operator product
expansions of ``dangerous'' composite operators [powers of the local
dissipation rate], whose negative critical dimensions determine anomalous
exponents. The main technical result is the calculation of the anomalous
exponents in the order $\eps^{2}$ of the $\eps$ expansion. Generalization of
the results obtained to the case of a ``slow'' velocity field is also
presented.

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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: ao-sci
8
The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con