Quantum scalar field theory on anti-de Sitter space

Quantum scalar field theory on anti-de Sitter space

This thesis considers a real massive free quantum scalar field propagating with arbitrary coupling to $n$-dimensional anti-de Sitter space. Analytical expressions are found for the field modes and Feynman Green function. The condition for the equivalence of rotational vacuum states is also establish...

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Bibliographic Details
Main Author: Kent, Carl
Other Authors: Winstanley, Elizabeth
Published: University of Sheffield 2013
Subjects:
530.15
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.589267
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spelling ndltd-bl.uk-oai-ethos.bl.uk-5892672017-10-04T03:27:19ZQuantum scalar field theory on anti-de Sitter spaceKent, CarlWinstanley, Elizabeth2013This thesis considers a real massive free quantum scalar field propagating with arbitrary coupling to $n$-dimensional anti-de Sitter space. Analytical expressions are found for the field modes and Feynman Green function. The condition for the equivalence of rotational vacuum states is also established. The rotational and thermal anti-commutator functions are then derived. A method is developed for computing the Hadamard renormalised vacuum and thermal expectation values of the quadratic field fluctuations and the stress-energy tensor. Results are obtained for $n=2$ to $n=11$, satisfying Wald's axioms and exhibiting the trace anomaly.530.15University of Sheffieldhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.589267http://etheses.whiterose.ac.uk/4911/Electronic Thesis or Dissertation
collection NDLTD
sources NDLTD
topic 530.15
spellingShingle 530.15
Kent, Carl
Quantum scalar field theory on anti-de Sitter space
description This thesis considers a real massive free quantum scalar field propagating with arbitrary coupling to $n$-dimensional anti-de Sitter space. Analytical expressions are found for the field modes and Feynman Green function. The condition for the equivalence of rotational vacuum states is also established. The rotational and thermal anti-commutator functions are then derived. A method is developed for computing the Hadamard renormalised vacuum and thermal expectation values of the quadratic field fluctuations and the stress-energy tensor. Results are obtained for $n=2$ to $n=11$, satisfying Wald's axioms and exhibiting the trace anomaly.
author2 Winstanley, Elizabeth
author_facet Winstanley, Elizabeth
Kent, Carl
author Kent, Carl
author_sort Kent, Carl
title Quantum scalar field theory on anti-de Sitter space
title_short Quantum scalar field theory on anti-de Sitter space
title_full Quantum scalar field theory on anti-de Sitter space
title_fullStr Quantum scalar field theory on anti-de Sitter space
title_full_unstemmed Quantum scalar field theory on anti-de Sitter space
title_sort quantum scalar field theory on anti-de sitter space
publisher University of Sheffield
publishDate 2013
url http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.589267
work_keys_str_mv AT kentcarl quantumscalarfieldtheoryonantidesitterspace
_version_ 1718544289710997504

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