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  • The 2 + 2 anisotropic Wilson gluon action with applications 

    PEARDON, MICHAEL JAMES; RYAN, SINEAD MARIE (2004)
    A generalization of anisotropic lattices to include a 2+2 discretization is discussed. As a part of this program, we determine the one-loop correction to the gluon self-energy and analyse the restoration of Lorentz ...
  • 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 ...
  • Absolute bases, tensor products and a theorem of Bohr 

    TIMONEY, RICHARD (Instytut Matematyczny Polska Akademia Nauk, 1990)
  • Actions of groups of birationally extendible automorphisms 

    ZAITSEV, DMITRI (World Science Publishing, 1996)
    The origin of this work is found in the study of automorphisms of domains D in Cn, n > 1. For example, suppose for the moment that D is relatively compact and recall that in this case the group Aut(D) of all holomorphic ...
  • The AdS(5) x S**5 superstring in light-cone gauge and its Bethe equations. 

    FROLOV, SERGEY (Institute of Physics, 2006)
    We use the uniform light-cone gauge to derive an exact gauge-fixed Lagrangian and light-cone Hamiltonian for the Green-Schwarz superstring in AdS5?S5. We then quantize the theory perturbatively in the near plane-wave ...
  • The Ads/CFT spectrum via Integrability-based algorithms 

    MARBOE, CHRISTIAN (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. ...
  • Analytic Besov spaces and Hardy-type inequalities in tube domains over symmetric cones 

    SEHBA, BENIOT FLORENT (2010)
    We give various equivalent formulations to the (partially) open problem about Lp-boundedness of Bergman projections in tubes over cones. Namely, we show that such boundedness is equivalent to the duality identity between ...
  • Analytic smearing of SU(3) link variables in lattice QCD 

    PEARDON, MICHAEL JAMES (American Physical Society, 2004)
    An analytic method of smearing link variables in lattice QCD is proposed and tested. The differentiability of the smearing scheme with respect to the link variables permits the use of modern Monte Carlo updating methods ...
  • 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 ...
  • Antisymmetric tensor field on AdS(5) 

    FROLOV, SERGEY (Elsevier, 1998)
    By using the Hamiltonian version of the AdSrCFT correspondence, we compute the two-point Green function of a local operator in Ds4 Ns4 super Yang-Mills theory, which corresponds to a massive antisymmetric tensor field of ...
  • Approximation and convergence of formal CR-mappings 

    ZAITSEV, DMITRI (Oxford University Press, 2003)
    Let M ? CN be a minimal real-analytic CR-submanifold and M? ? CN? a realalgebraic subset through points p ? M and p? ? M?. We show that that any formal (holomorphic) mapping f : (CN, p) ? (CN? , p?), sending M into M?, ...
  • 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 ...
  • B and D meson decay constants in lattice QCD 

    RYAN, SINEAD MARIE (American Physical Society, 1998)
    We have calculated the decay constants of B and D mesons with lattice QCD. We use an O(a)-improved action that takes light quark actions as a starting point, tuned so that it can be directly applied at the physical masses ...