On the stabilization of modulus in Randall–Sundrum model by RΦ2 interaction

Abstract

A solution to the problem of modulus stabilization is to couple a massless bulk scalar field non-minimally to five-dimensional curvature. We present an exact treatment of the stabilization condition. Our results show that the square of effective mass of this scalar field is necessarily negative. We also find the existence of a closely spaced maximum near the minimum of the effective potential.