Vacuum densities in braneworlds

TL;DR

This paper reviews recent advances in calculating vacuum expectation values of energy-momentum tensors caused by quantum fluctuations of a scalar field in anti-de Sitter braneworld models, focusing on Robin boundary conditions and applications to Randall-Sundrum scenarios.

Contribution

It provides a comprehensive review of vacuum density calculations in braneworlds with general boundary conditions and applies these results to the Randall-Sundrum model with arbitrary brane mass terms.

Findings

Explicit formulas for vacuum expectation values in AdS with Robin boundary conditions

Analysis of vacuum energies in Randall-Sundrum models with arbitrary brane masses

Insights into quantum effects in braneworld scenarios

Abstract

We give a short review of the recent development in the investigation of the vacuum expectation values of the bulk and surface energy-momentum tensors generated by quantum fluctuations of a massive scalar field with general curvature coupling parameter subject to Robin boundary conditions on two codimension one parallel branes located on $(D+1)$-dimensional anti-de Sitter (AdS) bulk. An application to the Randall-Sundrum braneworld with arbitrary mass terms on the branes is discussed.