Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complex singularities of the critical potential in the large-N limit   We show with two numerical examples that the conventional expansion in powers
of the field for the critical potential of 3-dimensional O(N) models in the
large-N limit, does not converge for values of phi^2 larger than some critical
value. This can be explained by the existence of conjugated branch points in
the complex phi^2 plane. Pade approximants [L+3/L] for the critical potential
apparently converge at large phi^2. This allows high-precision calculation of
the fixed point in a more suitable set of coordinates. We argue that the
singularities are generic and not an artifact of the large-N limit. We show
that ignoring these singularities may lead to inaccurate approximations.

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The categories of this paper are: hep-ph
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The categories of this paper are: stat
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an