Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization-Group Analysis of the Generalized sine-Gordon Model and
  of the Coulomb Gas for d >= 3 Dimensions   Renormalization-group (RG) flow equations have been derived for the
generalized sine-Gordon model (GSGM) and the Coulomb gas (CG) in d >= 3 of
dimensions by means of Wegner's and Houghton's, and by way of the real-space RG
approaches. The UV scaling laws determined by the leading-order terms of the
flow equations are in qualitative agreement for all dimensions d >= 3,
independent of the dimensionality, and in sharp contrast to the special case d
= 2. For the 4-dimensional GSGM it is demonstrated explicitly (by numerical
calculations), that the blocked potential tends to a constant effective
potential in the infrared (IR) limit, satisfying the requirements of
periodicity and convexity. The comparison of the RG flows for the
three-dimensional GSGM, the CG, and the vortex-loop gas reveals a significant
dependence on the renormalization schemes and the approximations used.

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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: physics