Browsing Pure & Applied Mathematics by Title
Now showing items 157-176 of 390
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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. Finite-volume spectra are computed using distillation and the variational method. These spectra constrain ... -
Hadron spectroscopy from lattice quantum chromodynamics
(2016)Lattice calculations of hadron spectroscopy are discussed. A brief introduction to numerical simulations of QCD, with a focus on spectroscopy is given. Results for spectroscopy of low-lying, excited and exotic states ... -
Haldane limits via Lagrangian embeddings
(Elsevier, 2012)In the present paper we revisit the so-called Haldane limit, i.e. a particular continuum limit, which leads from a spin chain to a sigma model. We use the coherent state formulation of the path integral to reduce the problem ... -
Hamiltonian lattice gauge models and the Heisenberg double
(World Scientific, 1995)Hamiltonian lattice gauge models based on the assignment of the Heisenberg double of a Lie group to each link of the lattice are constructed in arbitrary spacetime dimensions. It is shown that the corresponding generalization ... -
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 state-of-the-art spectroscopy ... -
Heavy hadrons on an anisotropic lattice
(Elsevier, 2004)Results from simulations of quarkonia and heavy-light mesons on an anisotropic lattice are presented. The improved quark action and action-parameter tuning used in this study are discussed. -
Heavy quark physics from lattice QCD
(Elsevier, 2002)I review the current status of lattice calculations of heavy quark quantities. Particular emphasis is placed on leptonic and semileptonic decay matrix elements. -
Higgs Bundles, Gauge Theories and Quantum Groups
(2008)The appearance of the Bethe Ansatz equation for the Nonlinea r Schr ?odinger equa- tion in the equivariant integration over the moduli space of Higgs bundles is revisited. We argue that the wave functions of the ... -
High performance scientific computing using FPGAS with IEEE floating point and logarithmic arithmetic for lattice QCD
(IEEE, 2006)The recent development of large FPGAs along with the availability of a variety of floating point cores have made it possible to implement high-performance matrix and vector kernel operations on FPGAs. In this paper we seek ... -
High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks
(SpringerOpen, 2019)We determine the non-perturbatively renormalized axial current for O(a) improved lattice QCD with Wilson quarks. Our strategy is based on the chirally rotated Schrödinger functional and can be generalized to other finite ... -
Higher Spin Theories in Twistor Space
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2018)In this thesis we formulate an action principle for conformal higher spin theory on twistor space. For this theory, and for a unitary sub-sector that we identify, we construct an MHV amplitude expansion by considering ... -
Highly excited and exotic meson spectrum from dynamical lattice QCD
(2009)Using a new quark-field construction algorithm and a large variational basis of operators, we extract a highly excited isovector meson spectrum on dynamical anisotropic lattices. We show how carefully constructed operators ... -
Holomorphic extension of smooth CR-mappings between real-analytic and real-algebraic CR-manifolds
(International Press, 2003)The classical Schwarz reflection principle states that a continuous map f between real-analytic curves M and M? in C that locally extends holomorphically to one side of M, extends also holomorphically to a neighborhood ... -
Homotopical and effective methods for associative algebras
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2021)This thesis contains four main chapters based on four different papers. In the third chapter, we solve the problem of computing the minimal model of an arbitrary associative monomial algebra. Our methods are combinatorial ... -
Hubbard-Shastry lattice models
(2012)We consider two lattice models for strongly correlated electrons which are exactly solvable in one dimension. Along with the Hubbard model and the $\mathfrak {su}(2|2)$ spin chain, these are the only parity-invariant models ... -
The Hydrodynamical Relevance of the Camassa?Holm and Degasperis?Procesi Equations
(Springer-Verlag, 2009-04-01)n recent years two nonlinear dispersive partial differential equations have attracted much attention due to their integrable structure. We prove that both equations arise in the modeling of the propagation of shallow water ... -
Icosahedral Skyrmions
(American Institute of Physics, 2003)In this article we aim to determine the baryon numbers at which the minimal energy Skyrmion has icosahedral symmetry. By comparing polyhedra which arise as minimal energy Skyrmions with the dual of polyhedra that minimize ... -
Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD
(2011)A new method of stochastically estimating the low-lying effects of quark propagation is proposed which allows accurate determinations of temporal correlations of single-hadron and multihadron operators in lattice QCD. The ... -
Improving Algorithms to Compute All Elements of the Lattice Quark Propagator
(Elsevier, 2005)We present a new exact algorithm for estimating all elements of the quark propagator. The advantage of the method is that the exact all-to-all propagator is reproduced in a large but finite number of inversions. The ... -
In search of a scaling scalar glueball
(Elsevier, 1999)Anisotropic lattices are an efficient means of studying the glueballs of QCD, however problems arise with simulations of the lightest, scalar state. The mass is strongly dependent on the lattice spacing, even when ...
