Seminar will be devoted to the Bogoliubov perturbative QFT on the Minkowski space-time and on the Einstein Universe (EU). Essential novelty of the approach comes from using the so-called Hida white noise operators as the free field creation-annihilation operators, converting higher order contributions to the scattering operator and to interacting field operators, into generalized integral kernel operators. This approach allows us to solve some of IR problems. Existence of the higher order contributions puts nontrivial restrictions on the degree of the massless fields in the interaction terms. We give a theoretical proof that electrically charged particle should have a nonzero mass -- one among the open problems in theoretical QFT. We mention also some other problems, which we have solved using this approach, among them a rigorous construction of the Feynman integral on the compactified EU which is applicable in non-perturbative numerical computations on EU. Some other results within nonperturbative QFT will be mentioned concerning rigorous analysis of the full Hamiltonian operators in the Schroedinger picture of realistic systems (as e.g. the electroweak) on EU, for the comparison with perturbative approach.