Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Higgs Boson Mass and Ward-Takahashi Identity in Gauged
  Nambu-Jona-Lasinio Model   A new formula for the composite Higgs boson mass is given, based on the
Ward-Takahashi identity and the Schwinger-Dyson(SD) equation. In this formula
the dominant asymptotic solution of the SD equation yields a correct answer, in
sharp contrast to the Partially Conserved Dilatation Current(PCDC) approach
where the sub- and sub-sub-dominant solutions should be taken into account
carefully. In the gauged Nambu-Jona-Lasinio model we find M_H \simeq \sqrt{2}M
for the composite Higgs boson mass M_H and the dynamical mass of the fermion M
in the case of the constant gauge coupling(with large cut off), which is
consistent with the PCDC approach and the renormalization-group approach. As to
the case of the running gauge coupling, we find M_H \simeq 2
\sqrt{(A-1)/(2A-1)}M, where A \equiv 18 C_2 /(11N_c - 2N_f) with C_2 being the
quadratic Casimir of the fermion representation. We also discuss a
straightforward application of our formula to QCD(without 4-Fermi coupling),
which yields M_{\sigma} \sim \sqrt{2}M_{dyn}, with M_{\sigma} and M_{dyn} being
the light scalar(``\sigma-meson'') mass and mass of the constituent quark,
respectively.

28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
1
The categories of this paper are: cs