Abstract
The exact conformally-invariant solution of renormalized quantum field theory equations is considered. Dynamical equations form an infinite system of equations for vertices. This system does not determine the vertices uniquely; it must be supplemented by axiomatic requirements (locality, crossing symmetry etc.). The latter were not taken into consideration in the course of the solution of equations, therefore the solution obtained contains a number of arbitrary functions. The role of the mentioned additional requirements for the construction of the unique solution is discussed. The vertices are considered, containing conserved external lines (the current and the energy-momentum tensor). It is shown that the generalized Ward identity makes it possible to obtain these vertices explicitly up to an arbitrary transverse part.
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