Browsing School of Mathematics by Title
Now showing items 77-96 of 390
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Decay widths from Euclidean quantum field theory a scalar model and applications to QCD
(Trinity College (Dublin, Ireland). School of Mathematics, 2009)Lüscher provided a method by which the Euclidean correlation function, used in lattice field theories, can be used to evaluate the scattering phase shift, side-stepping the Maiani-Testa Theorem. This result is explored in ... -
Determination of the QCD ? Parameter and the Accuracy of Perturbation Theory at High Energies
(2016)We discuss the determination of the strong coupling α MS ð m Z Þ or, equivalently, the QCD Λ parameter. Its determination requires the use of perturbation theory in α s ð μ Þ in some scheme s and at some ... -
Discrete exterior calculus with applications to flows and spinors
(Trinity College (Dublin, Ireland). School of Mathematics, 2005) -
Dispersion relation for water waves with non-constant vorticity
(2012)We derive the dispersion relation for linearized small-amplitude gravity waves for various choices of non-constant vorticity. To the best of our knowledge, this relation is only known explicitly in the case of constant ... -
Domains of polyhedral type and boundary extensions of biholomorphisms
(1998)For D, D? analytic polyhedra in Cn, it is proven that a biholomorphic mapping f : D ! D? extends holomorphically to a dense boundary subset under certain condition of general position. This result is also extended to ... -
The Dunford Pettis property for certain planar uniform algebras
(Department of Mathematics at The University of Michigan, 1987) -
Dynamical fermion simulations using Luscher's local bosonic action algorithm
(Elsevier, 1995)The two-flavour Schwinger model is used to test the local boson action algorithm of M Luescher. The autocorrelation time is found to rise linearly with the number of auxiliary boson fields. An extension to the algorithm ... -
Dynamical QCD simulations on anisotropic lattices
(2006)The simulation of QCD on dynamical ( N f 2 ) anisotropic lattices is described. A method for nonperturbative renormalisation of the parameters in the anisotropic gauge and quark actions is presented. The precision ... -
Dynamics of one-resonant biholomorphisms
(2013)Our first main result is a construction of a simple formal normal form for holomorphic diffeomorphisms in Cn whose differentials have one-dimensional family of resonances in the first m eigenvalues, m ? n (but more resonances ... -
Effect of tree-level and mean-field improvement on the light-hadron spectrum in quenched QCD
(American Physical Society, 1997)We compute the light-hadron mass spectrum at b55.7 using the O(a)-improved Sheikholeslami-Wohlert fermion action with two choices of the clover coefficient: the classical value c51 and a mean-field or tadpole-improved ... -
An Effective Theory of Superfluid Turbulence from Local Scale Invariance
(2011)An effective locally scale invariant model is constructed using Weyl?s method starting from a free Schroedinger equation. The model requires additional gauge and gravitational degrees of freedom. It is suggested that this ... -
Efficient coding of sensory stimuli
(Trinity College (Dublin, Ireland). School of Mathematics, 2011)An important goal of mathematical neuroscience is to understand the coding principles governing the behaviour of sensory systems under stimulation. Here, we investigate the theory of efficient coding in nenral sensory ...