Diffeomorphism on-shell breaking from radion stabilization

TL;DR

This paper explores how nonlinear diffeomorphisms in the Randall-Sundrum model influence the effective Lagrangian and radion stabilization, revealing that on-shell diffeomorphisms protect radion mass and are affected by the Goldberger-Wise mechanism.

Contribution

It introduces the first nonlinear diffeomorphism in the Randall-Sundrum model that preserves the effective Lagrangian at all orders and clarifies the role of on-shell diffeomorphisms in radion stabilization.

Findings

Nonlinear diffeomorphism maintains effective Lagrangian invariance.

Radion mass is protected by on-shell diffeomorphism.

Unique radion field persists even with extended brane models.

Abstract

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.