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Mode-sum prescription for renormalized expectation values for a charged quantum scalar field on a charged black hole

Version 2 2025-01-13, 23:05
Version 1 2024-10-27, 23:21
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posted on 2025-01-13, 23:05 authored by Elizabeth WinstanleyElizabeth Winstanley, George MontagnonGeorge Montagnon, Cormac Breen, Peter Taylor

Data for the paper "Mode-sum prescription for renormalized expectation values for a charged quantum scalar field on a charged black hole", arXiv:2410.18211 [hep-th].

We present a new mode-sum prescription for the efficient computation of renormalized expectation values for a massive, charged, quantum scalar field propagating on a curved space-time background. Our method is applicable to any static, spherically-symmetric, four-dimensional space-time with a time-independent, background electrostatic potential and can be used to find the renormalized scalar condensate, current and stress-energy tensor. As an explicit example, we present a calculation of these quantities for a charged scalar field in the Hartle-Hawking state on a Reissner-Nordstrom black hole background.

Funding

Consortium for Fundamental Physics - Particle Cosmology and Fundamental Physics: From the Early to the Present Universe

Science and Technology Facilities Council

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