Conformal symmetry and effective potential: II. Evolution

We present the second part of the paper series devoted to the study of the multi-loop effective potential evolution (or anomalous dimension) in ${\phi }^4$-theory using the conformal symmetry. In this paper, we demonstrate that the conformal symmetry can still be useful for the effective potential approach even in the presence of the mass parameter. To this goal, it is necessary to introduce the special treatment of the mass terms as a sort of interaction in an asymptotical expansion of the generating functional. The introduced vacuum V${}_{z,x}$-operation is the main tool to the algebraic scheme of anomalous dimension calculations. It is shown that the vacuum V${}_{z,x}$-operation transforms the given Green functions to the corresponding vacuum integrations which generate the effective potential.