Renormalised fermion vacuum expectation values on anti-de Sitter space-time

Abstract

The Schwinger–de Witt and Hadamard methods are used to obtain renormalised vacuum expectation values for the fermion condensate, charge current and stress-energy tensor of a quantum fermion field of arbitrary mass on four-dimensional anti-de Sitter space–time. The quantum field is in the global anti-de Sitter vacuum state. The results are compared with those obtained using the Pauli–Villars and zeta-function regularisation methods, respectively.

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Authors/Creators:	Ambrus, V.E. Winstanley, E. https://orcid.org/0000-0001-8964-8142
Copyright, Publisher and Additional Information:	© 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.
Keywords:	Fermion field; Anti-de Sitter space-time; Hadamard renormalisation
Dates:	Accepted: 18 August 2015 Published (online): 24 August 2015 Published: 7 October 2015
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:	12 Apr 2016 14:49
Last Modified:	23 Jun 2023 22:03
Published Version:	http://dx.doi.org/10.1016/j.physletb.2015.08.045
Status:	Published
Publisher:	Elsevier: SCOAP3
Refereed:	Yes
Identification Number:	https://doi.org/10.1016/j.physletb.2015.08.045
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Renormalised fermion vacuum expectation values on anti-de Sitter space-time

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