Browsing Pure & Applied Mathematics by Title
Now showing items 261-280 of 390
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A performance study of a template C++ class for parallel Monte Carlo simulations of local statistical field theories on a three dimensional lattice
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2020)In this thesis we investigate the performance properties of a template C++ class designed to run parallel Monte Carlo simulations of local statistical field theories on a three dimensional lattice. The generic nature of ... -
Perturbative and instanton corrections to the OPE of CPOs in N = 4 SYM(4)
(Elsevier, 2001)We study perturbative and instanton corrections to the Operator Product Expansion of the lowest weight Chiral Primary Operators of N = 4 SYM4. We confirm the recently observed non-renormalization of various operators ... -
A perturbative determination of the parameters of an anisotropic quark action
(Elsevier, 2005)The parameters of a 3+1 anisotropic quark action with Symanzik-improved glue are determined at 1-loop in perturbation theory. -
Peturbative study of the Chirally Rotated Schrödinger Functionality in Lattice QCD
(Trinity College (Dublin, Ireland). School of Mathematics, 2014)In this thesis we study the renormalisation and O(a) improvement of the Chirally Rotated Schrödinger Functional (xSF) in perturbation theory. The xSF was originally proposed in [1] as a way of rehabiliting the mechanism ... -
Phase shift of isospin-2 pi pi scattering from lattice QCD
(2011)Finite-volume lattice QCD calculations offer the possibility of extracting resonance parameters from the energy-dependent elastic phase-shift computed using the Luscher technique. In this letter, as a trial of the method, ... -
Phase shift with LapH propagators
(2010)The pion-pion scattering phase shift is computed using LapH propagators. The LapH method for computing quark propagators is used to form two-particle correlation functions with a number of different operators. Excited ... -
Physical phase space of lattice Yang-Mills theory and the moduli space of flat connections on a Riemann surface
(Springer Verlag, 1997)It is shown that the physical phase space of -deformed Hamiltonian lattice Yang-Mills theory, which was recently proposed in refs.[1,2], coincides as a Poisson manifold with the moduli space of flat connections on a ... -
Pion-pion scattering amplitudes and timelike pion form factor from Nf=2+1 Lattice QCD
(Trinity College (Dublin, Ireland). School of Mathematics, 2017)We study isovector pion-pion scattering and extract the electromagnetic pion form factor in the timelike region from Nf = 2 + 1 Lattice QCD ensembles at a single lattice spacing and two pion masses mπ = 200MeV and mπ = ... -
Polynomial Filtered HMC: An Algorithm for lattice QCD with dynamical quarks
(2012)Polynomial approximations to the inverse of the fermion matrix are u sed to filter the dynamics of the upper energy scales in HMC simulations. The use of a multiple time-scale integration sc heme allows the filtered ... -
Positive solutions for nonlinear singular boundary value problems on the half line
(Hikari Ltd, 2007)We discuss the existence of positive solutions for singular second order boundary value problems x'' = ?f(t, x, x'), ax(0) ? bx'(0) = k ? 0, x'(?) = 0, where f may be singular at x = 0 and x' = 0 and can change sign. ... -
Practical all-to-all propagators for lattice QCD
(Elsevier, 2005)A new method for computing all elements of the lattice quark propagator is proposed. The method combines the spectral decomposition of the propagator, computing the lowest eigenmodes exactly, with noisy estimators which ... -
A precise determination of B_K in quenched QCD
(2006)The B K parameter is computed in quenched lattice QCD with Wilson twisted mass fermions. Two variants of tmQCD are used; in both of them the relevant S = 2 four-fermion operator is renormalised multi ... -
Precision Spectroscopy of AdS/CFT
(Institute of Physics, 2003)We extend recent remarkable progress in the comparison of the dynamical energy spectrum of rotating closed strings in AdS5 ? S5 and the scaling weights of the corresponding non-near-BPS operators in planar = 4 supersymmetric ... -
Progress in lattice algorithms
(Elsevier, 2002)The development of Monte Carlo algorithms for generating gauge field configurations with dynamical fermions and methods for extracting the most information from ensembles are summarised. -
Progress in leptonic and semileptonic decays in lattice QCD
(American Physical Society, 1999)The status of lattice calculations of heavy quark phenomenology is reviewed. Particular emphasis is placed on the understanding and control of the calculational uncertainties. The ensuing implications for constraining ... -
Pseudodistances invariantes sur les domaines convexes d'un espace localement convexe
(Scuola Normale Superiore, 1985) -
Pulsation and precession of the resonant swinging spring
(Elsevier, 2004)When the frequencies of the elastic and pendular oscillations of an elastic pendulum or swinging spring are in the ratio 2:1, there is a regular exchange of energy between the two modes of oscillation. We refer to this ... -
Puzzles of η-deformed AdS<inf>5</inf> Ã- S5
(2015)We derive the part of the Lagrangian for the sigma model on the η -deformed AdS 5 × S 5 space which is quadratic in fermions and has the full dependence on bosons. We then show that there exists a field ...
