Pure & Applied Mathematics: Recent submissions
Now showing items 81-100 of 393
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Indefinite theta series and generalised error functions
(2018)Theta series for lattices with indefinite signature ( n + ,n − ) arise in many areas of mathematics including representation theory and enumerative algebraic geometry. Their mod- ular properties are well understood ... -
Charmed tetraquarks from lattice QCD
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2018) -
The Ads/CFT spectrum via Integrability-based algorithms
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2017)The spectral problem of the AdS/CFT correspondence is believed to be integrable in the planar limit. The Quantum Spectral Curve captures the underlying mathematical structure in a relatively simple Riemann-Hilbert problem. ... -
Cₒ(X)-structure in C*-algebras, multiplier algebras and tensor products
(Trinity College (Dublin, Ireland). School of Mathematics, 2015)We begin in Chapter 2 with an introduction to the various notions of a bundle of C*-algebras that have appeared throughout the literature, and clarify the definitions of upper- and lower-semicontinuous C*-bundles not ... -
Peturbative study of the Chirally Rotated Schrödinger Functionality in Lattice QCD
(Trinity College (Dublin, Ireland). School of Mathematics, 2014)In this thesis we study the renormalisation and O(a) improvement of the Chirally Rotated Schrödinger Functional (xSF) in perturbation theory. The xSF was originally proposed in [1] as a way of rehabiliting the mechanism ... -
Spectral functions from lattice QCD at finite temperature
(Trinity College (Dublin, Ireland). School of Mathematics, 2015)An investigation of the bottonionium spectrum above and below the QCD deconfinement crossover temperature, Tc, was performed using a non-relativistic treatment of the heavy quark on anisotropic lattices with Nf = 2 + 1 ... -
Spike train analysis
(Trinity College (Dublin, Ireland). School of Mathematics, 2015)This thesis focuses on the study of spike trains, the information carrying signals conveyed by neurons in the nervous system. Spiking data from songbirds from [Narayan et al., 2006] was used prominently in this thesis. ... -
A dynamical study of the chirally rotated Schrödinger functional in lattice QCD
(Trinity College (Dublin, Ireland). School of Mathematics, 2015)In this work, we present first results from dynamical simulations of the chirally rotated Schrödinger functional (SF) in lattice QCD. More specifically, we discuss the determination of renormalization constants of ... -
Integrable lattice models for strongly correlated electrons
(Trinity College (Dublin, Ireland). School of Mathematics, 2013)This thesis is dedicated to the study of a new family of integrable lattice models for strongly correlated electrons, namely the Hubbard- Shastry models. The techniques of exactly solvable models, and in particular those ... -
Spectroscopy and scattering of mesons containing charm quarks from lattice QCD
(Trinity College (Dublin, Ireland). School of Mathematics, 2013)We present excited spectra of mesons containing charm-light (D), charm-strange (Ds) and charm-charm (charmoninm) combinations. We perform these spectroscopic calculations on two volumes. 16(3) X 128 and 24(3) x 128, of ... -
Static-light-light baryons : a spectroscopic study using distillation
(Trinity College (Dublin, Ireland). School of Mathematics, 2013)Over the last decade, hadron spectroscopy in lattice QCD has graduated from calculating single rows of the quark propagation matrix to calculating all elements of the quark propagation matrix - the so-called all-to-all ... -
CFTs on Riemann surfaces of genus g ≥ 1
(Trinity College (Dublin, Ireland). School of Mathematics, 2014)The purpose of this thesis is to argue that N-point functions of holomorphic fields in rational conformal field theories can be calculated by methods from algebraic geometry. We establish explicit formulae for the 2-point ... -
The radiation bound for a Klein-Gordon field on a static spherical spacetime
(Trinity College (Dublin, Ireland). School of Mathematics, 2013)We establish a well-posed Cauchy problem in Minkowski (R4, η), associated with a radiating Klein-Gordon field ψ(x) = eztψ(xi), in curvature coordinates {xμ = t, p, θ,Φ} on a static spherically symmetric spacetime (M, g). ... -
CR Singularities in condimension 2
(Trinity College (Dublin, Ireland). School of Mathematics, 2013)In this thesis we study the real submanifolds of codimension 2 in a complex manifold near a CR singularity. The thesis has 3 chapters. In Chapter 1 we shall make a small introduction where we will remind some basic notions ... -
Free Field Representation and Form Factors of the Chiral Gross-Neveu Model
(Trinity College (Dublin, Ireland). School of Mathematics, 2013)The process of using the free field representation to construct form factors of two dimensional integrable models is very promising. In this thesis, this procedure is analysed and adapted for application to the chiral ... -
Symanzik Improvement of the gradient flow in lattice gauge theories
(2015)We apply the Symanzik improvement progra- mme to the 4 + 1-dimensional local re-formulation of the gradient flow in pure SU ( N ) lattice gauge theories. We show that the classical nature of the flow equation ... -
Flavour symmetry restoration and kaon weak matrix elements in quenched twisted mass QCD
(2007)We simulate two variants of quenched twisted mass QCD (tmQCD), with degenerate Wilson quarks of masses equal to or heavier than half the strange quark mass. We use Ward identities in order to measure the twist angles of ... -
A precise determination of B_K in quenched QCD
(2006)The B K parameter is computed in quenched lattice QCD with Wilson twisted mass fermions. Two variants of tmQCD are used; in both of them the relevant S = 2 four-fermion operator is renormalised multi ... -
Determination of the QCD ? Parameter and the Accuracy of Perturbation Theory at High Energies
(2016)We discuss the determination of the strong coupling α MS ð m Z Þ or, equivalently, the QCD Λ parameter. Its determination requires the use of perturbation theory in α s ð μ Þ in some scheme s and at some ...
