Browsing Pure & Applied 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 ... -
Deformation of generic submanifolds in a complex manifold
(Elsevier, 2007)This paper shows that an arbitrary generic submanifold in a complex manifold can be deformed into a 1-parameter family of generic submanifolds satisfying strong nondegeneracy conditions. The proofs use a careful analysis ... -
Degenerate real hypersurfaces in C2 with few automorphisms
(2009)We introduce new biholomorphic invariants for real-analytic hypersurfaces in 2-dimensional complex space and show how they can be used to show that a hypersurface possesses few automorphisms. We give conditions, in terms ... -
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 dressing factor and crossing equations
(IOP Publishing, 2009)We utilize the DHM integral representation for the BES dressing factor of the world-sheet S-matrix of the AdS_5xS^5 light-cone string theory, and the crossing equations to fix the principal branch of the dressing factor ... -
Duality and domains in supersymmetric gauge theories
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)This thesis investigates duality properties of four-dimensional N = 2 supersymmetric Yang-Mills theory. By restricting the domain of the effective coupling to an appropriate fundamental domain the order parameter on the ... -
The Dunford Pettis property for certain planar uniform algebras
(Department of Mathematics at The University of Michigan, 1987) -
Dynamical fermion simulations of QCD on anisotropic lattices
(Elsevier, 2004)Simulations of QCD with two flavours of improved Wilson quarks on an anisotropic lattice are discussed. Methods for improving the performance of the Hybrid Monte Carlo (HMC) algorithm in these studies are described. -
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 ... -
The effect of pion mass on Skyrme configurations
(2007)In the Skyrme model, atomic nuclei are identified with solitonic configurations. If the pion mass is set to zero, these configurations are spherical shells of energy with a fullerene-like appearance and are well approximated ... -
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 ...
