Pure & Applied Mathematics
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Pure & Applied Mathematics (Scholarly Publications)
Pure & Applied Mathematics (Scholarly Publications) 
Pure & Applied Mathematics (Theses and Dissertations)
Pure & Applied Mathematics (Theses and Dissertations)
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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 ... 
Modularity in Supersymmetric Gauge Theory
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)In this thesis, we study the modularity and duality of Coulomb branches for a class of fourdimensional N=2 supersymmetric gauge theories. For pure N=2 super YangMills theory with gauge group SU(2), the Coulomb branch can ... 
Conformal Bootstrap and Black Holes in AdS/CFT
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)In this thesis, we explore applications of the conformal bootstrap to holographic CFTs that are dual to theories of gravity in asymptotically Antide Sitter spacetimes. In particular, we consider correlation functions with ...