Investigation of equations for coefficient functions of the Yang–Mills field and their solutions

Theory of Yang–Mills fields is considered on the basis of coefficient functions in the Euclidean 4-dimensional space-time. Equations are constructed for these functions and formal solutions are persented which coincide with the solutions obtained in the perturbation theory. To remove ultraviolet divergences of the formal solutions, the equations are considered in the pair of functional spaces of translation invariant functions and a projection space is introduced. By means of the projection-iterative method renormalised solutions are constructed which are defined on the functional space.