Pure & Applied Mathematics (Theses and Dissertations)
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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. ... 
Complexity of Holographic Flavours and causality in QFTs with GaussBonnet dual
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2019)This thesis is the compilation of two different projects undertaken during my PhD programme. Chapter 2 covers the work on quantum complexity. Quantum complexity of a thermofield double state in a strongly coupled quantum ... 
String breaking from Lattice QCD with Nf=2+1 dynamical fermions
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2019)In quantum chromodynamics (QCD), the static potential V (r) is deﬁned as the energy of the ground state of the system containing a static quark and a static antiquark, separated by a distance r. As a consequence of conﬁnement, ... 
Random sampling and large deviations
(Trinity College (Dublin, Ireland). School of Mathematics, 2001)In this thesis, we are concerned with the effect of randomly sampling a stochastic process. We consider two stochastic processes: the underlying process, {Xt}tεT and the observation process {Tn}nεN, a strictly increasing ... 
Elements of an operator calculus
(Trinity College (Dublin, Ireland). School of Mathematics, 2001)The operational calculus developed by the Irish School of the Vienna Development Method (VDM) has a life of its own independent of its applications. This thesis is interested in the operational calculus that arose from the ...