  In these notes for the quark Nambu-Jona-Lasinio model and for the
phenomenological four fermionic model of QCD we analyze vacuum energy structure
and calculate dependence of energy of one-particle excitations on momentum. We
reveal existence of two different types of excitations above the vacuum with
the respective minimization of the vacuum energy density. First type of
excitation energy spectrum is the usual spectrum of relativistic massive
particle, but the second one has a linear dependence on momentum.
