Quantised bulk fields in the Randall-Sundrum compactification model
David J. Toms
TL;DR
This paper calculates the vacuum energy density of a quantised scalar field in the Randall-Sundrum model using Kaluza-Klein reduction, regularisation, and renormalisation, with implications for the model's radius stability.
Contribution
It provides a detailed computation of vacuum energy in the Randall-Sundrum model, including regularisation and renormalisation, and discusses radius determination.
Findings
Computed vacuum energy density for scalar fields in the model
Identified the pole term for renormalisation
Discussed potential self-consistent radius determination
Abstract
The quantisation of a scalar field in the five-dimensional model suggested by Randall and Sundrum is considered. Using the Kaluza-Klein reduction of the scalar field, discussed by Goldberger and Wise, we sum the infinite tower of modes to find the vacuum energy density. Dimensional regularisation is used and we compute the pole term needed for renormalisation, as well as the finite part of the energy density. Some comments are made concerning the possible self-consistent determination of the radius.
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