Browsing School of Mathematics by Title
Now showing items 1-20 of 132
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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 ... -
A formulation of discrete differential geometry applied to fermionic lattice field theory and its implications for chiral symmetry
(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 geometrical approach to spike train noise
(Trinity College (Dublin, Ireland). School of Mathematics, 2012)Mathematically, spike trains are elusive processes. They encode information, although how this information is contained in a spike train is still not clear. Same-stimulus spike trains display structural similarities, yet ... -
A theoretical study of spin filtering and its application to polarizing antiprotons
(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 ... -
An Anisotropic preconditioning for the Wilson fermion matrix on the lattice
(2010)A preconditioning for the Wilson fermion matrix on the lattice is defined, which is particularly suited to the case when the temporal lattice spacing is much smaller than the spatial one. Details on the implementation of ... -
Antisymmetric tensor field on AdS(5)
(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 ... -
The bottomonium spectrum at finite temperature from N f = 2 + 1 lattice QCD
(2014)We present results on the bottomonium spectrum at temperatures above and below the deconfinement crossover temperature, T c , from dynamical lattice QCD simu- lations. The heavy quark is treated with ... -
Boundary jets of holomorphic maps between strongly pseudoconvex domains
(Elsevier, 2008)We study jets of germs of holomorphic maps between two strongly pseudoconvex domains under the condition that the image of one domain is contained into the other and a given boundary point is (non-tangentially) mapped to ... -
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A Burns-Krantz type theorem for domains with corners
(Springer, 2006)The goal of this paper is twofold. First, to give purely local boundary uniqueness results for maps defined only on one side as germs at a boundary point and hence not necessarily sending any domain to itself and also under ... -
The centre of the graph and moduli algebras at roots of 1
(Springer Verlag, 1999)The structure of the centres Z(Lg) and Z(Mg) of the graph algebra Lg(sl2) and the moduli algebraMg(sl2) is studied at roots of 1. It it shown that Z(Lg) can be endowed with the structure of the Poisson graph algebra. The ... -
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 ... -
Charmed tetraquarks from lattice QCD
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2018) -
Comparing the excitations of the periodic flux tube with effective string models.
(Trinity College (Dublin, Ireland). School of Mathematics, 2005)The spectrum of a periodic flux tube in pure SU(3) Yang-Mills theory is evaluated non-perturbatively through computations on the lattice in the region from intermediate to long distances (1.5 < L < 4 fm ). For these flux ...