Nambu Jona-Lasinio Model of \bar q q Bose Einstein Condensation and pseudogap phase

Abstract

We show the existence of a pseudogap phase in the Nambu Jona-Lasinio model of quark interactions. In the pseudogap phase chiral symmetry is restored but q\bar q pseudoscalar mesons still exist and they are massive. Such a behavior is intermediate between a BCS superconductor and a Bose Einstein Condensate. We suggest the relevance of this phenomenon for an understanding of recent lattice QCD and experimental data.

15 pages, 2 figures. Version to appear in Phys. Rev. D (a discussion on the cutoff and a few references added)