Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three-Loop Ground-State Energy of O(N)-Symmetric Ginzburg-Landau Theory
  Above T_c in 4-epsilon Dimensions with Minimal Subtraction   As a step towards deriving universal amplitude ratios of the superconductive
phase transition we calculate the vacuum energy density in the symmetric phase
of O(N)-symmetric scalar QED in D=4-epsilon dimensions in an epsilon-expansion
using the minimal subtraction scheme commonly denoted by MS-bar. From the
diverging parts of the diagrams, we obtain the renormalization constant of the
vacuum Z_v which also contains information on the critical exponent alpha of
the specific heat. As a side result, we use an earlier two-loop calculation of
the effective potential (H.K. and B.VdB., Phys.Rev. E63 (2001) 056113,
cond-mat/0104102) to determine the renormalization constant of the scalar field
Z_phi up to two loops.

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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con