Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Scaling Hypothesis for the Spectral Densities in the O(3) Nonlinear
  Sigma-Model   A scaling hypothesis for the n-particle spectral densities of the O(3)
nonlinear sigma-model is described. It states that for large particle numbers
the n-particle spectral densities are ``self-similar'' in being basically
rescaled copies of a universal shape function. This can be viewed as a
2-dimensional, but non-perturbative analogue of the KNO scaling in QCD.
Promoted to a working hypothesis, it allows one to compute the two point
functions at ``all'' energy or length scales. In addition, the values of two
non-perturbative constants (needed for a parameter-free matching of the
perturbative and the non-perturbative regime) are determined exactly.

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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: math
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc