Sort by: Order: Results:

Now showing items 1-20 of 26

  • A dynamical study of the chirally rotated Schrödinger functional in lattice QCD 

    Brida, Mattia Dalla (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 ...
  • A formulation of discrete differential geometry applied to fermionic lattice field theory and its implications for chiral symmetry 

    Watterson, Steven (Trinity College (Dublin, Ireland). School of Mathematics, 2008)
    In this thesis, we develop the Geometric Discretization formulation of Dirac-Kahler fermions. We note that the naive definition of chiral synnnetry is only approximately captured in the formulation. However, we show that ...
  • A theoretical study of spin filtering and its application to polarizing antiprotons 

    O'Brien, Domhnaill (Trinity College (Dublin, Ireland). School of Mathematics, 2008)
    There has been much recent research into possible methods of polarizing an antiproton beam, the most promising being spin filtering, the theoretical understanding of which is currently incomplete. The method of polarization ...
  • Anisotropic discretisations and practical all-to-all propagators for lattice QCD 

    Ó Cais, Ailein (Trinity College (Dublin, Ireland). School of Mathematics, 2006)
    In this thesis, we concern ourselves primarily with improving the accuracy of the determination of correlation functions in lattice QCD. We detail two avenues of improvement and implement them both, separately and in ...
  • Aspects of the mathematical theory of water waves 

    Henry, David (Trinity College (Dublin, Ireland). School of Mathematics, 2007)
    In this thesis we study various aspects of the mathematical theory of water waves. In Chapter 2 some qualitative results for two recently-derived nonlinear models for shallow water waves are presented. In the first part ...
  • CFTs on Riemann surfaces of genus g ≥ 1 

    Leitner, Marianne (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 ...
  • CR Singularities in condimension 2 

    Burcea, Valentin Daniel (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 ...
  • Cₒ(X)-structure in C*-algebras, multiplier algebras and tensor products 

    McConnell, David (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 ...
  • Discrete exterior calculus with applications to flows and spinors 

    De Beaucé, Vivien (Trinity College (Dublin, Ireland). School of Mathematics, 2005)
  • Elements of an operator calculus 

    Hughes, Arthur (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 ...
  • Free Field Representation and Form Factors of the Chiral Gross-Neveu Model 

    Britton, Stephen (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 ...
  • Integrable lattice models for strongly correlated electrons 

    Quinn, Eoin (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 ...
  • Interferometry and non-equilibrium noise in the fractional quantum Hall effect 

    Smits, Olaf (Trinity College (Dublin, Ireland). School of Mathematics, 2014)
    We study theoretical aspects of fractional quantum Hall devices based on tunnelling point contacts. The fractional quantum Hall effect is the prime example of a (2 + 1) dimensional system with non-trivial topological order. ...
  • Methods for calculating option prices with early-exercise features 

    Cooney, Michael (Trinity College (Dublin, Ireland). School of Mathematics, 2006)
    In this dissertation we deal with two distinct methods for pricing financial options with early-exercise features. First we use finite difference methods to calculate the prices, examining in particular two new schemes ...
  • Novel methods for heavy-quark physics from lattice QCD 

    Foley, Justin (Trinity College (Dublin, Ireland). School of Mathematics, 2006)
    The application of 3+1 anisotropic lattices to numerical simulations of hadrons containing heavy quarks is investigated. It is expected that using a fine temporal lattice spacing will suppress large mass-dependent errors ...
  • Peturbative study of the Chirally Rotated Schrödinger Functionality in Lattice QCD 

    Mainar, Pol Vilascea (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 ...
  • Pion-pion scattering amplitudes and timelike pion form factor from Nf=2+1 Lattice QCD 

    Hörz, Ben (Trinity College (Dublin, Ireland). School of Mathematics, 2017)
    We study isovector pion-pion scattering and extract the electromagnetic pion form factor in the timelike region from Nf = 2 + 1 Lattice QCD ensembles at a single lattice spacing and two pion masses mπ = 200MeV and mπ = ...
  • Random sampling and large deviations 

    McGurk, Brian (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 ...
  • Robust layer-resolving methods for various Prandtl problems 

    Butler, John (Trinity College (Dublin, Ireland). School of Mathematics, 2005)
    In this thesis we deal with four Prandtl boundary layer problems for incompressible laminar flow. When the Reynolds and Prandtl numbers are large the solution of each problem has parabolic boundary layers. For each problem ...
  • Simulated annealing of Skyrme model configurations 

    Magee, Shane (Trinity College (Dublin, Ireland). School of Mathematics, 2006)
    The Skyrme model is a topological field theory that has been shown to be a good low energy approximation to QCD. A particular quantum theoretical treatment of the model reduces the quantization to a finite-dimensional ...