Nonperturbative Renormalizability of Gauged NJL Model in the large Nc limit 1

Non-perturbative renormalizability of the gauged Nambu-Jona-Lasinio (NJL) model in four dimensions is examined in the large Nc limit by using the exact renormalization group. The renormalizability is guar-anteed by the existence of the non-trivial renormalized trajectories. When the gauge coupling is asymptotically free and runs slow enough, the renormalized trajectories are found to span the two dimensional subspace given by the four fermi coupling and the gauge coupling. We discuss also the gauged NJL model extended to include higher dimen-sional operators and the correspondence with the gauge-Higgs-Yukawa system. 1This talk was given by Ken-Ichi Kubota. The content is based on the ref. (Kubot