Dynamical CP-violation in quasilocal quark models at nonzero quark chemical potential

Abstract

We consider the Quasilocal Quark Model of Nambu-Jona-Lasinio type as an effective theory of non-perturbative QCD with scalar-pseudoscalar four-quark interaction which includes derivatives in fields at finite quark chemical potential. In the presence of a strong attraction in the scalar channel, the chiral symmetry is spontaneously broken and, as a consequence, composite meson states are generated. For special configurations of coupling constants, the dynamical CP-violation in the pseudoscalar sector can appear as a result of complexity of the dynamical mass function generated at some value of quark density. Bibliography: 25 titles.