Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A strong-coupling analysis of two-dimensional O(N) sigma models with
  $N\geq 3$ on square, triangular and honeycomb lattices   Recently-generated long strong-coupling series for the two-point Green's
functions of asymptotically free ${\rm O}(N)$ lattice $\sigma$ models are
analyzed, focusing on the evaluation of dimensionless renormalization-group
invariant ratios of physical quantities and applying resummation techniques to
series in the inverse temperature $\beta$ and in the energy $E$. Square,
triangular, and honeycomb lattices are considered, as a test of universality
and in order to estimate systematic errors. Large-$N$ solutions are carefully
studied in order to establish benchmarks for series coefficients and
resummations. Scaling and universality are verified. All invariant ratios
related to the large-distance properties of the two-point functions vary
monotonically with $N$, departing from their large-$N$ values only by a few per
mille even down to $N=3$.

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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom