Two - loop effective potential in quantum field theory in curved space - time

Two-loop effective potential in quantum field theory in curved space-time. ABSTRACT 1) temporal postal address; The method of the calculation of effective potential (in linear curvature approximation and at any loop) in massless gauge theory in curved space-time by the direct solution of renormalization group equation is given. The closed expression for two-loop effective potential is obtained. Two-loop effective potential in λϕ 4-theory is written explicitly. Some comments about it as well as about two-loop effective potential in standard model are presented. The effective potential [1] plays very important role in the study of vacuum structure in modern quantum field theory. The renormalization group(RG) method turns out to be very useful in calculation and discussion of effective potential in loops expansion [1]. In particular , using one-loop effective potential which is reliable only for limited range of background scalar field and using the fact that the effective potential satisfies the