Quantum-corrected anti-de Sitter space-time

TL;DR

This paper investigates how quantum scalar fields influence the geometry of anti-de Sitter space-time by solving quantum-corrected Einstein equations, revealing temperature-dependent deviations interpreted as asymptotically-AdS solitons.

Contribution

It provides a numerical analysis of quantum back-reaction effects on AdS space-time, introducing quantum-corrected metrics as asymptotically-AdS solitons with temperature-dependent properties.

Findings

Deviations from pure AdS increase with scalar field temperature.

Quantum back-reaction leads to the formation of asymptotically-AdS solitons.

Mass of solitons varies with the temperature of the quantum scalar field.

Abstract

We study the back-reaction of a quantum scalar field on anti-de Sitter (AdS) space-time. The renormalized expectation value of the stress-energy tensor operator for a massless, conformally-coupled quantum scalar field on global AdS space-time in four space-time dimensions acts as a source term on the right-hand-side of the Einstein equations for the quantum-corrected metric. We solve the quantum-corrected Einstein equations numerically and find deviations from pure AdS which increase as the temperature of the quantum scalar field state increases. We interpret these quantum-corrected metrics as asymptotically-AdS solitons, and study the mass of these solitons as a function of the temperature of the quantum scalar field.