Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Auxiliary Field Method in 4- and 3- dimensional Nambu--Jona-Lasinio
  Models   In order to check the validity of auxiliary field method in the
Nambu--Jona-Lasinio model, the one-loop (=quantum) effects of auxiliary fields
to the gap equation are considered with N-component fermion models in 4 and 3
dimensions. N is not assumed so large but regarded as a loop expansion
parameter. To overcome infrared divergences caused by the Nambu-Goldstone
bosons, an intrinsic fermion mass is assumed. It is shown that the loop
expansion can be justified by this intrinsic mass whose lower limit is also
given. It is found that due to quantum effects, chiral symmetry breaking
($\chi$SB) is restored in D=4 and D=3 when the four-Fermi coupling is large.
However, $\chi$SB is enhanced in a small coupling region in D=3.

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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
2
The categories of this paper are: math
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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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: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph