Diffeomorphism on-shell breaking from radion stabilization

We present for the first time the nonlinear diffeomorphism in the Randall Sundrum model that can keep the effective Lagrangian invariant in any order of expansion. We will show that the off-shell diffeomorphism shapes the interaction structure. However the radion mass is in fact protected by an on-shell diffeomorphism, which can be spontaneously broken by the Goldberger-Wise mechanism. The nonlinear property of diffeomorphism also ensures a unique radion field even in the extension of RS model with intermediate branes.