A NAMBU-JONA-LASINIO LIKE MODEL FROM QCD AT LOW ENERGIES

A generalization to any dimension of the fermion field transformation which allows to derive the solution of the massless Schwinger model in the path integral framework is identified. New arguments based on thi s transformation for a Nambu-Jona-Lasinio (NJL) like model as the low energy limit of a gauge theory in dimension greater than two are prese nted. Our result supports the spontaneous chiral symmetry breaking pic ture conjectured by Nambu many years ago and the link between QCD, NJL and chiral models. (C) 1998 Elsevier Science B.V. All rights reserved .