A dynamical stabilization of the radion potential

Large extra-dimensional theories attempt to solve the hierarchy problem by assuming that the fundamental scale of the theory is at the electroweak sca le. This requires the size of the extra dimensions to be stabilized at a sc ale which is determined by the effective four-dimensional Planck mass and t he number of extra dimensions. In this Letter we concentrate upon the dynam ical reasons to stabilize them by providing a running mass to the radion fi eld. We show that it is possible to maintain the size of the extra dimensio ns once it is stabilized throughout the dynamics of inflation. (C) 2001 Pub lished by Elsevier Science B.V.