E. Elizalde et Sd. Odintsov, RENORMALIZATION-GROUP IMPROVED EFFECTIVE POTENTIAL FOR FINITE GRAND UNIFIED THEORIES IN CURVED SPACETIME, Physics letters. Section B, 333(3-4), 1994, pp. 331-336
The renormalization-group improved effective potential-to leading-log
and in the linear curvature approximation-is constructed for ''finite'
' theories in curved spacetime. It is not trivial and displays a quite
interesting, exponential-like structure-in contrast with the case of
flat spacetime where it coincides with the classical potential. Severa
l possible cosmological applications, as curvature-induced phase trans
itions and modifications of the values of the gravitational and cosmol
ogical constants, are briefly discussed.