Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical Exponents of O(N) Scalar Model at Temperatures below the
  Critical Value using Auxiliary Mass Method   We investigate a phase transition of the O(N) invariant scalar model using
the auxiliary mass method. We determine the critical exponent $\beta$ by
calculating an effective potential below the critical temperature. This work
follows that of a previous paper.

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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: math
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The categories of this paper are: supr-con
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The categories of this paper are: cs
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The categories of this paper are: ao-sci