Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some new results on an old controversy: is perturbation theory the
  correct asymptotic expansion in nonabelian models?   Several years ago it was found that perturbation theory for two-dimensional
O(N) models depends on boundary conditions even after the infinite volume limit
has been taken termwise, provided $N>2$. There ensued a discussion whether the
boundary conditions introduced to show this phenomenon were somehow anomalous
and there was a class of `reasonable' boundary conditions not suffering from
this ambiguity. Here we present the results of some computations that may be
interpreted as giving some support for the correctness of perturbation theory
with conventional boundary conditions; however the fundamental underlying
question of the correctness of perturbation theory in these models and in
particular the perturbative $\beta$ function remain challenging problems of
mathematical physics.

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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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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: patt-sol
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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph