[en] The Ysub(α) Yukawa model describing the pseudoscalar interaction of a fermion field PSI(x) and a boson field PHI(x) in the d-measured space-time Rsup(α) is considered. Density of interaction Lagrangian is written down in the form Lsub(I)(x)==. ig anti PSI(x)γ₅PSI(x)PHI(x), where γ₅ - Euclidean matrices. S matrix written down in the form of a functional integral in the Euclidean metrics is investigated. The Euclidean γ matrices and PSI, anti PSI spinors are determined in that way to provide covariance of relativity theory of Euclidean rotations and complete coincidence of S matrices in a series of perturbation theory in the suggested and standard approaches. Behaviour of vacuum energy density in the range of a strong coupling g → infinity has been obtained