Balakumar, V. and Winstanley, E. orcid.org/0000-0001-8964-8142 (2020) Hadamard parametrix of the Feynman Green's function of a five-dimensional charged scalar field. International Journal of Modern Physics D, 29 (11). 2041002. ISSN 0218-2718
Abstract
The Hadamard parametrix is a representation of the short-distance singularity structure of the Feynman Green's function for a quantum field on a curved space-time background. Subtracting these divergent terms regularizes the Feynman Green's function and enables the computation of renormalized expectation values of observables. We study the Hadamard parametrix for a charged, massive, complex scalar field in five space-time dimensions. Even in Minkowski space-time, it is not possible to write the Feynman Green's function for a charged scalar field exactly in closed form. We therefore present covariant Taylor series expansions for the biscalars arising in the Hadamard parametrix. On a general space-time background, we explicitly state the expansion coefficients up to the order required for the computation of the renormalized scalar field current. These coefficients become increasingly lengthy as the order of the expansion increases, so we give the higher-order terms required for the calculation of the renormalized stress-energy tensor in Minkowski space-time only.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2020 World Scientific Publishing Co Pte Ltd. This is an author-produced version of a paper subsequently published in International Journal of Modern Physics D. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | 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) |
Funding Information: | Funder Grant number Science and Technology Facilities Council ST/P000800/1 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 07 Jul 2020 06:21 |
Last Modified: | 20 Jan 2022 08:43 |
Status: | Published |
Publisher: | World Scientific Publishing |
Refereed: | Yes |
Identification Number: | 10.1142/S0218271820410023 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:162941 |