The role of higher derivative bulk scalar in stabilizing a warped spacetime

TL;DR

This paper investigates how higher derivative scalar fields in the bulk can stabilize warped Randall-Sundrum spacetime, potentially resolving the gauge hierarchy problem and ensuring a zero effective cosmological constant.

Contribution

It demonstrates that non-canonical higher derivative scalar actions are essential for stability and offers a parameter-based solution to the hierarchy problem.

Findings

Stability requires non-canonical higher derivative scalar terms.

The gauge hierarchy problem can be addressed in this stabilized model.

The effective cosmological constant on the brane vanishes.

Abstract

The backreaction on the Randall-Sundrum warped spacetime is determined in presence of scalar field in the bulk. A general analysis shows that the stability of such a model can be achieved only if the scalar field action has non-canonical higher derivative terms. It is further shown that the gauge hierarchy problem can be resolved in such a stabilized scenario by appropriate choice of various parameters of the theory. The effective cosmological constant on the brane is shown to vanish.