Renormalization group improvement of the effective potential in massive ${\varphi }^4$ theory

Abstract

Using the method of renormalization group, we improve the two-loop effective potential of the massive ${\varphi }^4$ theory to obtain the next-next-to-leading logarithm correction in the $\overline{MS}$ scheme. Our result well reproduces the next-next-to-leading logarithm parts of the ordinary loop expansion result known up to the four-loop order.

15 pages, 1 eps figure, RevTeX