The effect of curvature on local observables in quantum field theory

Fuente: arXiv
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Hauptverfasser: Shalabi, Ahmed, Zambianco, Matheus H., Perche, T. Rick
Format: Preprint
Veröffentlicht: 2024
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author Shalabi, Ahmed
Zambianco, Matheus H.
Perche, T. Rick
author_facet Shalabi, Ahmed
Zambianco, Matheus H.
Perche, T. Rick
contents We compute the leading order corrections to the expected value of the squared field amplitude of a massless real scalar quantum field due to curvature in a localized region of spacetime. We use Riemann normal coordinates to define localized field operators in a curved spacetime that are analogous to their flat space counterparts, and the Hadamard condition to find the leading order curvature corrections to the field correlations. We then apply our results to particle detector models, quantifying the effect of spacetime curvature in localized field probes.
format Preprint
id arxiv_https___arxiv_org_abs_2412_12294
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The effect of curvature on local observables in quantum field theory
Shalabi, Ahmed
Zambianco, Matheus H.
Perche, T. Rick
Quantum Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We compute the leading order corrections to the expected value of the squared field amplitude of a massless real scalar quantum field due to curvature in a localized region of spacetime. We use Riemann normal coordinates to define localized field operators in a curved spacetime that are analogous to their flat space counterparts, and the Hadamard condition to find the leading order curvature corrections to the field correlations. We then apply our results to particle detector models, quantifying the effect of spacetime curvature in localized field probes.
title The effect of curvature on local observables in quantum field theory
topic Quantum Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2412.12294