3 research outputs found
Nambu-Jona-Lasinio Model at the Next-to-Leading Order in 1/N
We derived and solved the compositeness condition in the Nambu-Jona-Lasinio
model at the next-to-leading order in 1/N, and obtained the expressions for the
effective coupling constants in terms of the compositeness scale. In the NJL
model with a scalar composite, the next to leading contributions are too large
for N=3. In the induced gauge theory with abelian gauge symmetry, the
correction term is reasonably suppressed, while, in the SU(N_c) gauge theory
with N_f flavors of fermions, the correction is suppressed only for
N_f>11N_c/2, complementarily to asymptotic freedom.Comment: 7 pages, latex, Invited talk presented at International Conference on
Quark Lepton Nuclear Physics, Osaka, Japan, May 1997. To be published in
Proceeding
Renormalization Group Flow in the Cutoff Yukawa Model and a Scale Invariance in the Nambu-Jona-Lasinio Model
We investigate the renormalization group flow of the Yukawa model with a
fixed momentum cutoff at the leading order in 1/N, where N is the number of the
fermion species. We demonstrate the scale invariance of coupling constants of
the Nambu-Jona-Lasinio model.Comment: 11 pages, 4 figure