Vacuum polarisation on the brane for a higher dimensional black hole spacetime

TL;DR

This paper calculates the vacuum polarization of a massless scalar field on the brane in a higher-dimensional Schwarzschild-Tangherlini black hole spacetime, extending previous work to multiple extra dimensions.

Contribution

It provides the first detailed analysis of vacuum polarization effects for a conformally coupled scalar field in higher-dimensional black hole backgrounds with up to seven extra dimensions.

Findings

Vacuum polarization depends on the number of extra dimensions.

Results extend understanding of quantum fields in higher-dimensional black hole spacetimes.

Methodology applicable to other fields and geometries.

Abstract

We present the vacuum polarisation of a massless, conformally coupled scalar field on the brane for a Schwarzschild-Tangherlini black hole in a bulk of zero to seven additional dimensions.