Ambrus, V.E., Kent, C. and Winstanley, E. orcid.org/0000-0001-8964-8142 (2018) Analysis of scalar and fermion quantum field theory on anti-de Sitter spacetime. International Journal of Modern Physics D, 27 (11). 1843014. ISSN 0218-2718
Abstract
We study vacuum and thermal expectation values of quantum scalar and fermion fields on anti-de Sitter space-time. Anti-de Sitter space-time is maximally symmetric and this enables expressions for the scalar and fermion vacuum Feynman Green's functions to be derived in closed form. We employ Hadamard renormalization to find the vacuum expectation values. The thermal Feynman Green's functions are constructed from the vacuum Feynman Green's functions using the imaginary time periodicity/anti-periodicity property for scalars/fermions. Focussing on massless fields with either conformal or minimal coupling to the space-time curvature (these two cases being the same for fermions) we compute the differences between the thermal and vacuum expectation values. We compare the resulting energy densities, pressures and pressure deviators with the corresponding classical quantities calculated using relativistic kinetic theory.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 World Scientific Publishing. 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: | Quantum field theory on curved space-time; anti-de Sitter space-time; Hadamard renormalization; relativistic kinetic theory |
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) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 09 Feb 2018 13:31 |
Last Modified: | 17 Nov 2020 17:55 |
Status: | Published |
Publisher: | World Scientific Publishing |
Refereed: | Yes |
Identification Number: | 10.1142/S0218271818430149 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:126975 |