Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalons and Analytic Properties of the \beta function   The presence or absense of renormalon singularities in the Borel plane is
shown to be determined by the analytic properties of the Gell-Mann - Low
function \beta(g) and some other functions. A constructive criterion for the
absense of singularities consists in the proper behavior of the \beta function
and its Borel image B(z) at infinity, \beta(g)\sim g^\alpha and B(z)\sim
z^\alpha with \alpha\le 1. This criterion is probably fulfilled for the \phi^4
theory, QED and QCD, but is violated in the O(n)-symmetric sigma model with
n\to\infty.

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The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int