A stable hierarchy from Casimir forces and the holographic interpretation
Jaume Garriga, Alex Pomarol
TL;DR
The paper demonstrates that Casimir energy in the Randall-Sundrum model stabilizes the radion and creates a large hierarchy of scales through logarithmic contributions, explained via holographic gauge coupling running.
Contribution
It reveals a novel mechanism where Casimir energy stabilizes the radion without fine-tuning, linked to holographic gauge coupling behavior.
Findings
Casimir energy depends logarithmically on the radion.
Radion stabilization occurs naturally without fine-tuning.
Holographic interpretation relates to gauge coupling running.
Abstract
We show that in the Randall-Sundrum model the Casimir energy of bulk gauge fields (or any of their supersymmetric relatives) has contributions that depend logarithmically on the radion. These contributions satisfactorily stabilize the radion, generating a large hierarchy of scales without fine-tuning. The logarithmic behaviour can be understood, in a 4D holographic description, as the running of gauge couplings with the infrared cut-off scale.
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