Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extension of the Nambu--Jona-Lasinio model at high densities and
  temperatures by using an implicit regularization scheme   Traditional cutoff regularization schemes of the Nambu--Jona-Lasinio model
limit the applicability of the model to energy-momentum scales much below the
value of the regularizing cutoff. In particular, the model cannot be used to
study quark matter with Fermi momenta larger than the cutoff. In the present
work an extension of the model to high temperatures and densities recently
proposed by Casalbuoni, Gatto, Nardulli, and Ruggieri is used in connection
with an implicit regularization scheme. This is done by making use of scaling
relations of the divergent one-loop integrals that relate these integrals at
different energy-momentum scales. Fixing the pion decay constant at the chiral
symmetry breaking scale in the vacuum, the scaling relations predict a running
coupling constant that decreases as the regularization scale increases,
implementing in a schematic way the property of asymptotic freedom of quantum
chromodynamics. If the regularization scale is allowed to increase with density
and temperature, the coupling will decrease with density and temperature,
extending in this way the applicability of the model to high densities and
temperatures. These results are obtained without specifying an explicit
regularization. As an illustration of the formalism, numerical results are
obtained for the finite density and finite temperature quark condensate, and to
the problem of color superconductivity at high quark densities and finite
temperature.

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The categories of this paper are: stat
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: math
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph