Quantum-corrected anti-de Sitter space-time

Fuente: arXiv
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Main Authors: Thompson, Jacob C., Winstanley, Elizabeth
Format: Preprint
Published: 2024
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author Thompson, Jacob C.
Winstanley, Elizabeth
author_facet Thompson, Jacob C.
Winstanley, Elizabeth
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_20422
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum-corrected anti-de Sitter space-time
Thompson, Jacob C.
Winstanley, Elizabeth
High Energy Physics - Theory
General Relativity and Quantum Cosmology
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.
title Quantum-corrected anti-de Sitter space-time
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2405.20422