We present a series of results that is devoted to the study of the multi-loop effective potential evolution in φ⁴ theory using the conformal symmetry. We introduce and describe the vacuum Vz;x operation 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. The introduced vacuum Vz;x operation is the main tool to the almost algebraic scheme of anomalous dimension calculations.