Browsing Pure & Applied Mathematics (Theses and Dissertations) by Title
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The radiation bound for a KleinGordon field on a static spherical spacetime
(Trinity College (Dublin, Ireland). School of Mathematics, 2013)We establish a wellposed Cauchy problem in Minkowski (R4, η), associated with a radiating KleinGordon field ψ(x) = eztψ(xi), in curvature coordinates {xμ = t, p, θ,Φ} on a static spherically symmetric spacetime (M, g). ... 
Towards Excited Radiative Transitions in Charmonium
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2019)In this thesis lattice QCD is utilised to investigate the spectrum of charmonium and charmed mesons with the aim of working towards investigating radiative transitions between excited states in the charmonium spectrum. ... 
YangMills instantons on the taubNUT space and supersymmetric N=2 gauge theories with impurities
(Trinity College (Dublin, Ireland). School of Mathematics, 2010)We write a formula for arbitrary charge calorons, instantons on R3 x S1, in terms of the Green's function of the Laplacian defined for the Nahm Transform, thus generalising the formula for the charge one caloron derived ...