Balakumar, V. and Winstanley, E. orcid.org/0000-0001-8964-8142 (2020) Hadamard renormalization for a charged scalar field. Classical and Quantum Gravity, 37 (6). 065004. ISSN 0264-9381
Abstract
The Hadamard representation of the Green's function of a quantum field on a curved space-time is a powerful tool for computations of renormalized expectation values. We study the Hadamard form of the Feynman Green's function for a massive charged complex scalar field in an arbitrary number of space-time dimensions. Explicit expressions for the coefficients in the Hadamard parametrix are given for two, three and four space-time dimensions. We then develop the formalism for the Hadamard renormalization of the expectation values of the scalar field condensate, current and stress-energy tensor. These results will have applications in the computation of renormalized expectation values for a charged quantum scalar field on a charged black hole space-time, and hence in addressing issues such as the quantum stability of the inner horizon.
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Copyright, Publisher and Additional Information: | © 2019 IOP Publishing Ltd. This is an author produced version of a paper subsequently published in Classical and Quantum Gravity. Uploaded in accordance with the publisher's self-archiving policy. Article available under the terms of the CC-BY-NC-ND licence (https://creativecommons.org/licenses/by-nc-nd/3.0/). | ||||
Keywords: | gr-qc; gr-qc; hep-th; Hadamard renormalization; charged scalar field | ||||
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) | ||||
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Depositing User: | Symplectic Sheffield | ||||
Date Deposited: | 30 Jan 2020 10:28 | ||||
Last Modified: | 07 Dec 2021 15:06 | ||||
Status: | Published | ||||
Publisher: | IOP Publishing | ||||
Refereed: | Yes | ||||
Identification Number: | https://doi.org/10.1088/1361-6382/ab6b6e | ||||
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Licence: CC-BY-NC-ND 3.0