Induced gravity in inflationary universe

Abstract

We have considered the quantum behavior of a conformally induced gravity in the minimally extended Riemann-Cartan space. The one-loop effective potential in Coleman-Weinberg sector shows the phase transition, and the conformal gauge fields become highly massive through the spontaneous symmetry breaking. For this potential, we have investigated the semi-classical motion of scalar field in slow-rolling regime. The reheating temperature is nearly equal to the mass of conformal gauge field.