Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Is the 2D O(3) Nonlinear $\sigma$ Model Asymptotically Free?   We report the results of a Monte Carlo study of the continuum limit of the
two dimensional O(3) non-linear $\sigma$ model. The notable finding is that it
agrees very well with both the prediction inspired by Zamolodchikovs' S-matrix
ansatz and with the continuum limit of the dodecahedron spin model. The latter
finding renders the existence of asymptotic freedom in the O(3) model rather
unlikely.

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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th