Next to leading order calculation with dimensional regularization in Nambu–Jona-Lasinio model

Abstract

The Nambu–Jona-Lasinio model is investigated in the 1/Nc expansion with the dimensional regularization. At the four-dimensional limit, the meson propagators have simple forms in the leading order of the 1/Nc expansion. Thus, the next to leading order calculation reduces to an ordinary one loop calculation. Here we obtain an explicit form of the 1/Nc correction and numerically evaluate the Nc dependence for the gap equation.