Vacuum polarization for varying quantum scalar field parameters in Schwarzschild-anti-de Sitter spacetime

TL;DR

This paper introduces new computational methods to analyze how quantum vacuum polarization depends on various parameters of a scalar field in Schwarzschild-anti-de Sitter spacetime, covering different field and black hole properties across multiple dimensions.

Contribution

It presents a novel efficient approach for calculating quantum expectation values and provides new approximations for vacuum polarization in asymptotically anti-de Sitter black hole spacetimes.

Findings

Vacuum polarization varies with scalar field mass and coupling constant.

Comparison across different black hole masses and spacetime dimensions.

New approximation method for vacuum polarization in AdS black holes.

Abstract

Equipped with new powerful and efficient methods for computing quantum expectation values in static-spherically symmetric spacetimes in arbitrary dimensions, we perform an in-depth investigation of how the quantum vacuum polarization varies with the parameters in the theory. In particular, we compute and compare the vacuum polarization for a quantum scalar field in the Schwarzschild anti-de Sitter black hole spacetime for a range of values of the field mass and field coupling constant as well as the black hole mass and number of spacetime dimensions. In addition, a new approximation for the vacuum polarization in asymptotically anti-de Sitter black hole spacetimes is presented.