Coleman-Weinberg approach in distorted space-time

The Coleman-Weinberg approach (renormalization-group improvement of the effective potential) is developed for an arbitrary renormalizable massless theory in distorted space-time. Some explicit examples are considered. It is proven that a phase transition induced by nonzero curvature may occur in an SU(5) inflationary universe.Tomsk Pedagogical Institute. Universal of Barcelona. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 28–32, January, 1994.