  We begin a series of two papers that is devoted to the study of the
multi-loop effective potential evolution in $\varphi^4$-theory using the
conformal symmetry. In the first part, we introduce and describe in detail the
vacuum $V_{z,x}$-operation ($"V"$ stems from "vacuum", $\{z,x\}$ imply the
corresponding coordinates) that transforms the given Green functions to the
corresponding vacuum integrations which generate the effective potential. Our
operation can be considered as an inverse procedure compared to the
Gorishni-Isaev method. To the final goal, it is necessary to introduce also the
special treatment of the mass terms as sorts of "interaction" in an
asymptotical expansion of the generating functional.
