Pure & Applied Mathematics (Theses and Dissertations)
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Heavy Hadron Spectroscopy from Lattice QCD
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2024)In this thesis, heavy hadron spectroscopy was studied through the formalism of lattice quantum chromodynamics. A summary of relevant theory is provided, followed by an overview of the current stateoftheart spectroscopy ... 
YangBaxter integrable open quantum systems
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2023)The main result of this thesis is the use of the boost operator to develop a systematic method to construct new integrable spin chains with nearestneighbour interaction and characterized by an Rmatrix of nondifference ... 
Exploring efficient methods for precision QCD calculations on the lattice
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2023)We study a new technique for stochastic noise reduction in the calculation of propagators by implementing it in OpenQ*D for two ensembles with O(a) improved Wilson fermion ac tion, with periodic boundary conditions and ... 
Hadron Scattering Amplitudes from Lattice QCD
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2023)In this thesis we compute hadron scattering amplitudes within the framework of lattice quantum chromodynamics. Finitevolume spectra are computed using distillation and the variational method. These spectra constrain ... 
Duality and domains in supersymmetric gauge theories
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)This thesis investigates duality properties of fourdimensional N = 2 supersymmetric YangMills theory. By restricting the domain of the effective coupling to an appropriate fundamental domain the order parameter on the ...