Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Third Order Renormalization Group applied to the attractive
  one-dimensional Fermi Gas   We consider a Callan-Symanzik and a Wilson Renormalization Group approach to
the infrared problem for interacting fermions in one dimension with
backscattering. We compute the third order (two-loop) approximation of the beta
function using both methods and compare it with the well known multiplicative
Gell-Mann Low approach. We point out a previously unnoticed qualitative
dependence of the third order fixed point on an arbitrary dimensionless
parameter, which strongly suggest the spurious nature of the fixed point.

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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: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex