Modulus stabilization of generalized Randall Sundrum model with bulk scalar field

TL;DR

This paper investigates how the stabilization of the inter-brane distance in generalized Randall-Sundrum models depends on the brane cosmological constant, showing that only a zero cosmological constant can resolve the hierarchy problem.

Contribution

It demonstrates that the stabilized modulus value is influenced by the brane cosmological constant, confirming the original RS model's assumption of zero cosmological constant for hierarchy resolution.

Findings

Stabilized modulus depends on brane cosmological constant.

Zero cosmological constant is necessary for hierarchy problem resolution.

Supports original RS model assumptions.

Abstract

We study the stabilization of inter-brane spacing modulus of generalized warped brane models with a nonzero brane cosmological constant. Employing Goldberger-Wise stabilization prescription of brane world models with a bulk scalar field, we show that the stabilized value of the modulus generally depends on the value of the brane cosmological constant. Our result further reveals that the stabilized modulus value corresponding to a vanishingly small cosmological constant can only resolve the gauge hierarchy problem simultaneously. This in turn vindicates the original Randall-Sundrum model where the 3-brane cosmological constant was chosen to be zero.