Hodgkinson, Lee
(2013)
Particle detectors in curved spacetime quantum field theory.
PhD thesis, University of Nottingham.
Abstract
UnruhDeWitt particle detector models are studied in a variety of timedependent and timeindependent settings. We work within the framework of firstorder perturbation theory and couple the detector to a massless scalar field. The necessity of switching on (off) the detector smoothly is emphasised throughout, and the transition rate is found by taking the sharpswitching limit of the regulatorfree and finite response function.
The detector is analysed on a variety of spacetimes: ddimensional Minkowski, the BanadosTeitelboimZanelli (BTZ) black hole, the twodimensional Minkowski halfplane, twodimensional Minkowski with a receding mirror, and the two and fourdimensional Schwarzschild black holes.
In ddimensional Minkowski spacetime, the transition rate is found to be finite up to dimension five. In dimension six, the transition rate diverges unless the detector is on a trajectory of constant proper acceleration, and the implications of this divergence to the global embedding spacetime (GEMS) methods are studied.
In threedimensional curved spacetime, the transition rate for the scalar field in an arbitrary Hadamard state is found to be finite and regulatorfree. Then on the BanadosTeitelboimZanelli (BTZ) black hole spacetime, we analyse the detector coupled to the field in the HartleHawking vacua, under both transparent and reflective boundary conditions at infinity. Results are presented for the corotating detector, which responds thermally, and for the radiallyinfalling detector.
Finally, detectors on the Schwarzschild black hole are considered. We begin in two dimensions, in an attempt to gain insight by exploiting the conformal triviality, and where we apply a temporal cutoff to regulate the infrared divergence. In fourdimensional Schwarzschild spacetime, we proceed numerically, and the HartleHawking, Boulware and Unruh vacua rates are compared. Results are presented for the case of the static detectors, which respond thermally, and also for the case of corotating detectors.
Item Type: 
Thesis (University of Nottingham only)
(PhD)

Supervisors: 
Louko, J.M.T. Krasnov, K. 
Keywords: 
Particle detectors, UnruhDeWitt, black hole, Schwarzschild, BTZ, KMS, thermality, geodesic, transition rate, response function, curved space. 
Subjects: 
Q Science > QA Mathematics > QA611 Topology Q Science > QC Physics > QC170 Atomic physics. Constitution and properties of matter 
Faculties/Schools: 
UK Campuses > Faculty of Science > School of Mathematical Sciences 
Item ID: 
13636 
Depositing User: 
EP, Services

Date Deposited: 
12 Feb 2014 09:52 
Last Modified: 
13 Sep 2016 12:09 
URI: 
http://eprints.nottingham.ac.uk/id/eprint/13636 
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