Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High-order perturbative expansions of multi-parameter Phi^4 quantum
  field theories   We present high-order pertubative expansions of multi-parameter Phi^4 quantum
field theories with an N-component fundamental field, containing up to
4th-order polynomials of the field. Multi-parameter Phi^4 theories generalize
the simplest O(N)-symmetric Phi^4 theories, and describe more complicated
symmetry breaking patterns. These notes collect several high-order perturbative
series of physically interesting multi-parameter Phi^4 theories, to five or six
loops. We consider the O(M)XO(N)-symmetric Phi^4 model, the so-called MN model,
and a spin-density-wave Phi^4 model containing five quartic terms.

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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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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: ao-sci