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Quantum field theory on global anti-de Sitter space-time with Robin boundary conditions

Morley, Thomas orcid logoORCID: 0000-0001-6297-2639, Taylor, Peter orcid logoORCID: 0000-0002-8416-6408 and Winstanley, Elizabeth orcid logoORCID: 0000-0001-8964-8142 (2020) Quantum field theory on global anti-de Sitter space-time with Robin boundary conditions. Classical and Quantum Gravity, 38 (3). ISSN 0264-9381

We compute the vacuum polarization for a massless, conformally coupled scalar field on the covering space of global, four-dimensional, anti-de Sitter space-time. Since anti-de Sitter space is not globally hyperbolic, boundary conditions must be applied to the scalar field. We consider general Robin (mixed) boundary conditions for which the classical evolution of the field is well-defined and stable. The vacuum expectation value of the square of the field is not constant unless either Dirichlet or Neumann boundary conditions are applied. We also compute the thermal expectation value of the square of the field. For Dirichlet boundary conditions, both thermal and vacuum expectation values approach the same well-known limit on the space-time boundary. For all other Robin boundary conditions (including Neumann boundary conditions), the vacuum and thermal expectation values have the same limit on the space-time boundary, but this limit does not equal that in the Dirichlet case.
Item Type:Article (Published)
Additional Information:Article number: 035009
Uncontrolled Keywords:anti-de Sitter space-time; vacuum polarization; quantum field theory in curved space-time
Subjects:Physical Sciences > Physics
DCU Faculties and Centres:DCU Faculties and Schools > Faculty of Science and Health > School of Mathematical Sciences
Publisher:IOP Publishing
Official URL:https://doi.org/10.1088/1361-6382/aba58a
Copyright Information:© 2020 The Authors.
ID Code:27652
Deposited On:13 Sep 2022 11:07 by Peter Taylor . Last Modified 13 Apr 2023 11:20

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