Regularization dependence and independence in NJL model

by Prof. Tomohiro Inagaki (Hiroshima University, Japan)

Thursday Oct 18, 2012, 2:00 PM → 3:00 PM Asia/Seoul

201-4호 (제1과학관)

In QCD an usual perturbative procedure loses its validity and a non-perturbative effect is essential for a study of low energy phenomena. Thus we often use a phenomenological effective model. The Nambu--Jona-Lasinio (NJL) model is one of the models which describe the low energy phenomena for quarks and gluons. Since the model is nonrenormalizable, the results depend on the regularization parameter in four spacetime dimensions. Here we show the regularization parameter dependences for some of physical quantities in the leading order of the 1/N expansion. The order counting of divergence is presented for n-point Green functions with the dimensional regularization. It is found that finite values
are obtained for some physical observables even at the four dimensional limit.