In this paper we discuss symmetry breakdown in NJL model at low N_c. In
particular we propose a modified NJL model that displays a symmetry breakdown
and also at finite temperatures under certain conditions the chiral
fluctuations in this model give rise to a phase analogous to pseudogap phase of
strong-coupling and low carrier density superconductors.Comment: accepted to Phys. Rev. D. Latest updates of this and related papers
are available at http://www.teorfys.uu.se/PEOPLE/egor