The effect of curvature on local observables in quantum field theory

• URL: http://arxiv.org/abs/2412.12294v1
• Date: Mon, 16 Dec 2024 19:07:32 GMT
• Title: The effect of curvature on local observables in quantum field theory
• Authors: Ahmed Shalabi, Matheus H. Zambianco, T. Rick Perche,
• Abstract summary: We compute the leading order corrections to the expected value of the squared field amplitude of a real quantum field due to curvature in a localized region of spacetime. We then apply our results to particle detector models, quantifying the effect of spacetime curvature in localized field probes.
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• Abstract: 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.

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