Abstract:
We consider the class of fermion models with a momentum cutoff $\Lambda$ and an interaction containing derivatives. For the quasilocal fermion model with two coupling constants near tricritical point we elaborate the classification of solutions of mass-gap equations for different values coupling constants. The mass spectrum of the scalar exitations in the vicinity of the tricritical point is derived and it is found that two scalar exitations always arise when at least one of the constants exceeds its critical value.
The mass formation for scalar bound states induced by static gluon fields (gluon condensates) is investigated. Bibliography: 5 titles.