Stability of Scalar Fields in Warped Extra Dimensions

Abstract

This work sets up a general theoretical framework to study stability of models with a warped extra dimension where N scalar fields couple minimally to gravity. Our analysis encompasses Randall-Sundrum models with branes and bulk scalars, and general domain-wall models. We derive the Schrodinger equation governing the spin-0 spectrum of perturbations of such a system. This result is specialized to potentials generated using fake supergravity, and we show that models without branes are free of tachyonic modes. Turning to the existence of zero modes, we prove a criterion which relates the number of normalizable zero modes to the parities of the scalar fields. Constructions with definite parity and only odd scalars are shown to be free of zero modes and are hence perturbatively stable. We give two explicit examples of domain-wall models with a soft wall, one which admits a zero mode and one which does not. The latter is an example of a model that stabilizes a compact extra dimension using only bulk scalars and does not require dynamical branes.

25 pages, 2 figures; v2: minor changes to text, references added, matches published version

References in corpus (12)

• Linear Confinement and AdS/QCD
• Electroweak Breaking on a Soft Wall
• Dynamical Soft-Wall AdS/QCD
• The standard model on a domain-wall brane?
• The Soft-Wall Standard Model
• Lorentz-violating effects on topological defects generated by two real scalar fields
• Fermion Mass Hierarchy from the Soft Wall
• Metastable Kinks in the Orbifold
• From Soft Walls to Infrared Branes
• Scalar Kinks in Warped Extra Dimensions
• Existence and Stability of Non-Trivial Scalar Field Configurations in Orbifolded Extra Dimensions
• Odd Tachyons in Compact Extra Dimensions

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• Stability analysis of Schwarzschild black holes in dynamical Chern-Simons gravity
• Flavour Physics in the Soft Wall Model
• Shining Flavor and Radion Phenomenology in Warped Extra Dimension
• Stable Palatini $f(\mathcal{R})$ braneworld
• Survival of scalar zero modes in warped extra dimensions
• Stability analysis of black holes by the $S$-deformation method for coupled systems
• Gravity on a Little Warped Space
• Hybrid metric-Palatini brane system
• On the stability of a soft-wall model
• Stability of braneworlds with non-minimally coupled multi-scalar fields
• Broken Symmetry as a Stabilizing Remnant
• Stability analysis of 5D gravitational solutions with N bulk scalar fields
• Avoiding the dangers of a soft-wall singularity
• On gravity localization in scalar braneworlds with a super-exponential warp factor
• Stability of gravity-scalar systems for domain-wall models with a soft wall
• Discrete graviton spectrum from super-exponential cup potentials and their application to braneworld physics
• Is the radion a bulk Higgs doublet?
• Constraints on Models with Warped Extra Dimensions