E. Quack et Sp. Klevansky, EFFECTIVE 1 N(C) EXPANSION IN THE NAMBU-JONA-LASINIO MODEL/, Physical review. C. Nuclear physics, 49(6), 1994, pp. 3283-3288
The 1/N(c) expansion is developed for the Nambu-Jona-Lasinio model, a
commonly used low-energy model of QCD. The next-to-leading order in th
is expansion that represents pion and sigma meson exchange in the gap
equation is evaluated perturbatively. These contributions are seen to
be differing in sign, a feature that is due to their opposite parities
. Physically one can interpret this meson exchange as giving rise to s
creening (pi) or antiscreening (sigma) of the bare four-point interact
ion. As a consequence of the higher isospin degeneracy of the pion, th
e contributions from it are found to dominate. In total, we find that
the resulting corrections to the usual Hartree approximation are of th
e order of 10%, justifying a posteriori the perturbative approach.