Recent Submissions

  • 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 ...
  • Spectroscopy and scattering of mesons containing charm quarks from lattice QCD 

    Moir, Graham (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 

    Mc Elroy, Finnian (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 

    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 ...
  • The radiation bound for a Klein-Gordon field on a static spherical spacetime 

    Collins, Michael Patrick (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). ...

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