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1. Ferreira, Hugo Ricardo Colaço. Quantum field theory on rotating black hole spacetimes.

Degree: PhD, 2015, University of Nottingham

This thesis is concerned with the development of a general method to compute renormalised local observables for quantum matter fields, in a given quantum state, on a rotating black hole spacetime. The rotating black hole may be surrounded by a Dirichlet mirror, if necessary, such that a regular, isometry-invariant vacuum state can be defined. We focus on the case of a massive scalar field on a (2+1)-dimensional rotating black hole, but the method can be extended to other types of matter fields and higher-dimensional rotating black holes. The Feynman propagator of the matter field in the regular, isometry-invariant state is written as a sum over mode solutions on the complex Riemannian section of the black hole. A Hadamard renormalisation procedure is implemented at the level of the Feynman propagator by expressing its singular part as a sum over mode solutions on the complex Riemannian section of rotating Minkowski spacetime. This allows us to explicitly renormalise local observables such as the vacuum polarisation of the quantum field. The method is applied to the vacuum polarisation of a real massive scalar field on a (2+1)-dimensional warped AdS3 black hole surrounded by a mirror. Selected numerical results are presented, demonstrating the numerical efficacy of the method. The existence of classical superradiance and the classical linear mode stability of the warped AdS3 black hole to massive scalar field perturbations are also analysed.

Subjects/Keywords: 523..8; QC170 Atomic physics. Constitution and properties of matter

…dynamical triangulations [8]. One common feature of all these proposals is that they… …numerically. In this way, one can remove the divergences 8 INTRODUCTION of the Green’s… …Standard references for this topic are chapter 8 of [4] and chapter 6 of [57]… 

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APA (6th Edition):

Ferreira, H. R. C. (2015). Quantum field theory on rotating black hole spacetimes. (Doctoral Dissertation). University of Nottingham. Retrieved from http://eprints.nottingham.ac.uk/29626/ ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.682641

Chicago Manual of Style (16th Edition):

Ferreira, Hugo Ricardo Colaço. “Quantum field theory on rotating black hole spacetimes.” 2015. Doctoral Dissertation, University of Nottingham. Accessed November 30, 2020. http://eprints.nottingham.ac.uk/29626/ ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.682641.

MLA Handbook (7th Edition):

Ferreira, Hugo Ricardo Colaço. “Quantum field theory on rotating black hole spacetimes.” 2015. Web. 30 Nov 2020.

Vancouver:

Ferreira HRC. Quantum field theory on rotating black hole spacetimes. [Internet] [Doctoral dissertation]. University of Nottingham; 2015. [cited 2020 Nov 30]. Available from: http://eprints.nottingham.ac.uk/29626/ ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.682641.

Council of Science Editors:

Ferreira HRC. Quantum field theory on rotating black hole spacetimes. [Doctoral Dissertation]. University of Nottingham; 2015. Available from: http://eprints.nottingham.ac.uk/29626/ ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.682641

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