Browsing Pure & Applied Mathematics by Title
Now showing items 163182 of 373

Icosahedral Skyrmions
(American Institute of Physics, 2003)In this article we aim to determine the baryon numbers at which the minimal energy Skyrmion has icosahedral symmetry. By comparing polyhedra which arise as minimal energy Skyrmions with the dual of polyhedra that minimize ... 
Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD
(2011)A new method of stochastically estimating the lowlying effects of quark propagation is proposed which allows accurate determinations of temporal correlations of singlehadron and multihadron operators in lattice QCD. The ... 
Improving Algorithms to Compute All Elements of the Lattice Quark Propagator
(Elsevier, 2005)We present a new exact algorithm for estimating all elements of the quark propagator. The advantage of the method is that the exact alltoall propagator is reproduced in a large but finite number of inversions. The ... 
In search of a scaling scalar glueball
(Elsevier, 1999)Anisotropic lattices are an efficient means of studying the glueballs of QCD, however problems arise with simulations of the lightest, scalar state. The mass is strongly dependent on the lattice spacing, even when ... 
Indefinite theta series and generalised error functions
(2018)Theta series for lattices with indefinite signature ( n + ,n − ) arise in many areas of mathematics including representation theory and enumerative algebraic geometry. Their mod ular properties are well understood ... 
Instanton vibrations of the 3Skyrmion
(American Physical Society, 1999)The AtiyahDrinfeldHitchinManin matrix corresponding to a tetrahedrally symmetric 3instanton is calculated. Some small variations of the matrix correspond to vibrations of the instantongenerated 3Skyrmion. These ... 
Integrable Hamiltonian for Classical Strings on AdS(5) x S**5
(Institute of Physics, 2005)We find the Hamiltonian for physical excitations of the classical bosonic string propagating in the AdS_5 x S^5 spacetime. The Hamiltonian is obtained in a socalled uniform gauge which is related to the static gauge by ... 
Integrable lattice models for strongly correlated electrons
(Trinity College (Dublin, Ireland). School of Mathematics, 2013)This thesis is dedicated to the study of a new family of integrable lattice models for strongly correlated electrons, namely the Hubbard Shastry models. The techniques of exactly solvable models, and in particular those ... 
Interferometry and nonequilibrium noise in the fractional quantum Hall effect
(Trinity College (Dublin, Ireland). School of Mathematics, 2014)We study theoretical aspects of fractional quantum Hall devices based on tunnelling point contacts. The fractional quantum Hall effect is the prime example of a (2 + 1) dimensional system with nontrivial topological order. ... 
Intersection cohomology of moduli spaces of sheaves on surfaces
(2018)We study intersection cohomology of moduli spaces of semist able vector bundles on a complex algebraic surface. Our main result relates inte rsection Poincar ́e polynomials of the moduli spaces to DonaldsonThomas ... 
Inversion symmetric 3monopoles and the AtiyahHitchin manifold
(IOP, 1996)We consider 3monopoles symmetric under inversion symmetry. We show that the moduli space of these monopoles is an Atiyah?Hitchin submanifold of the 3monopole moduli space. This allows what is known about 2monopole ... 
Isoscalar meson spectroscopy from lattice QCD
(2011)We extract to high statistical precision an excited spectrum of singleparticle isoscalar mesons using lattice QCD, including states of high spin and, for the first time, light exotic J(PC) isoscalars. The use of a novel ... 
Konishi operator at intermediate coupling.
(2011)TBA equations for twoparticle states from the sl(2) sector proposed by Arutyunov, Suzuki and the author are solved numerically for the Konishi operator descendent up to 't Hooft's coupling 2046. The data obtained ... 
Krylov subspaces from bilinear representations of nonlinear systems
(Emerald, 2007)For efficient simulation of stateoftheart dynamical systems as arise in all aspects of engineering, the development of reducedorder models is of paramount importance. While linear reduction techniques have received ... 
Large scale parallel network simulation
(Trinity College (Dublin, Ireland). School of Mathematics, 2004)Simulation is one of the primary tools used in studying computer networks. However the difficulties of simulating a network grow with its size. With the hardware resources currently available it is not feasible to simulate ... 
Lattice determinations of the strange quark mass
(University of Chicago, 1999)The importance of the strange quark mass, as a fundamental parameter of the Standard Model (SM) and as an input to many interesting quantities, has been highlighted in many reviews, eg in Ref . A first principles calculation ...