Balakumar, V. orcid.org/0000-0002-8806-7765, Bernar, R.P. orcid.org/0000-0002-8045-2407 and Winstanley, E. orcid.org/0000-0001-8964-8142 (2022) Quantization of a charged scalar field on a charged black hole background. Physical Review D, 106 (12). 125013. ISSN 2470-0010
Abstract
We study the canonical quantization of a massless charged scalar field on a Reissner-Nordström black hole background. Our aim is to construct analogs of the standard Boulware, Unruh and Hartle-Hawking quantum states which can be defined for a neutral scalar field, and to explore their physical properties by computing differences in expectation values of the scalar field condensate, current and stress-energy tensor operators between two quantum states. Each of these three states has a non-time-reversal-invariant past and future charged field generalization, whose properties are similar to those of the corresponding past and future states for a neutral scalar field on a Kerr black hole. In addition, we present some tentative, time-reversal-invariant, equilibrium states. The first is a “Boulware”-like state which is as empty as possible at both future and past null infinity. Second, we posit a “Hartle-Hawking”-like state which may correspond to a thermal distribution of particles. The construction of both these latter states relies on the use of nonstandard commutation relations for the creation and annihilation operators pertaining to superradiant modes.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2022 The Authors. This is an Open Access article distributed under the terms of the Creative Commons Attribution Licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
Keywords: | Quantum field theory; Quantum fields in curved spacetime; Gravitation; General relativity; Quantum fields in curved spacetime; Gravitation; Cosmology & Astrophysics; Particles & Fields |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Funding Information: | Funder Grant number EUROPEAN COMMISSION - HORIZON 2020 777740 SCIENCE AND TECHNOLOGY FACILITIES COUNCIL ST/T001038/1 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 23 Jan 2023 11:06 |
Last Modified: | 23 Jan 2023 11:06 |
Published Version: | http://dx.doi.org/10.1103/physrevd.106.125013 |
Status: | Published |
Publisher: | American Physical Society (APS) |
Refereed: | Yes |
Identification Number: | 10.1103/physrevd.106.125013 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:195530 |