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

Abstract

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

8 pages, 3 figures

References in corpus (4)

• $\pi$ and $\sigma$ mesons at finite temperature and density in the NJL model with dimensional regularization
• Phase diagram of Nambu-Jona-Lasinio model with dimensional regularization
• Nonet meson properties in Nambu--Jona-Lasinio model with dimensional versus cutoff regularization
• Regularization parameter independent analysis in Nambu-Jona-Lasinio model

Cited by in corpus (2)

• Parameter fitting in three-flavor Nambu--Jona-Lasinio model with various regularizations
• Modified model of top quark condensation