Browsing School of Mathematics by Title

Now showing items 157-176 of 390

    • Hadron spectroscopy from lattice quantum chromodynamics 

      RYAN, SINEAD (2016)
      Lattice calculations of hadron spectroscopy are discussed. A brief introduction to numerical simulations of QCD, with a focus on spectroscopy is given. Results for spectroscopy of low-lying, excited and exotic states ...

    • Haldane limits via Lagrangian embeddings 

      BYKOV, DMITRI VLADIMIROVICH (Elsevier, 2012)
      In the present paper we revisit the so-called Haldane limit, i.e. a particular continuum limit, which leads from a spin chain to a sigma model. We use the coherent state formulation of the path integral to reduce the problem ...

    • Hamiltonian lattice gauge models and the Heisenberg double 

      FROLOV, SERGEY (World Scientific, 1995)
      Hamiltonian lattice gauge models based on the assignment of the Heisenberg double of a Lie group to each link of the lattice are constructed in arbitrary spacetime dimensions. It is shown that the corresponding generalization ...

    • Heavy hadrons on an anisotropic lattice 

      PEARDON, MICHAEL JAMES; RYAN, SINEAD MARIE (Elsevier, 2004)
      Results from simulations of quarkonia and heavy-light mesons on an anisotropic lattice are presented. The improved quark action and action-parameter tuning used in this study are discussed.

    • Heavy quark physics from lattice QCD 

      RYAN, SINEAD MARIE (Elsevier, 2002)
      I review the current status of lattice calculations of heavy quark quantities. Particular emphasis is placed on leptonic and semileptonic decay matrix elements.

    • Higgs Bundles, Gauge Theories and Quantum Groups 

      SHATASHVILI, SAMSON (2008)
      The appearance of the Bethe Ansatz equation for the Nonlinea r Schr ?odinger equa- tion in the equivariant integration over the moduli space of Higgs bundles is revisited. We argue that the wave functions of the ...

    • High performance scientific computing using FPGAS with IEEE floating point and logarithmic arithmetic for lattice QCD 

      PEARDON, MICHAEL JAMES (IEEE, 2006)
      The recent development of large FPGAs along with the availability of a variety of floating point cores have made it possible to implement high-performance matrix and vector kernel operations on FPGAs. In this paper we seek ...

    • High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks 

      Sint, Stefan (SpringerOpen, 2019)
      We determine the non-perturbatively renormalized axial current for O(a) improved lattice QCD with Wilson quarks. Our strategy is based on the chirally rotated Schrödinger functional and can be generalized to other finite ...

    • Highly excited and exotic meson spectrum from dynamical lattice QCD 

      PEARDON, MICHAEL; THOMAS, CHRISTOPHER (2009)
      Using a new quark-field construction algorithm and a large variational basis of operators, we extract a highly excited isovector meson spectrum on dynamical anisotropic lattices. We show how carefully constructed operators ...

    • Holomorphic extension of smooth CR-mappings between real-analytic and real-algebraic CR-manifolds 

      ZAITSEV, DMITRI (International Press, 2003)
      The classical Schwarz reflection principle states that a continuous map f between real-analytic curves M and M? in C that locally extends holomorphically to one side of M, extends also holomorphically to a neighborhood ...

    • Hubbard-Shastry lattice models 

      FROLOV, SERGEY (2012)
      We consider two lattice models for strongly correlated electrons which are exactly solvable in one dimension. Along with the Hubbard model and the $\mathfrak {su}(2|2)$ spin chain, these are the only parity-invariant models ...

    • The Hydrodynamical Relevance of the Camassa?Holm and Degasperis?Procesi Equations 

      Constantin, Adrian; Lannes, David (Springer-Verlag, 2009-04-01)
      n recent years two nonlinear dispersive partial differential equations have attracted much attention due to their integrable structure. We prove that both equations arise in the modeling of the propagation of shallow water ...

    • Icosahedral Skyrmions 

      HOUGHTON, CONOR JAMES (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 

      PEARDON, MICHAEL (2011)
      A new method of stochastically estimating the low-lying effects of quark propagation is proposed which allows accurate determinations of temporal correlations of single-hadron and multihadron operators in lattice QCD. The ...

    • In search of a scaling scalar glueball 

      PEARDON, MICHAEL JAMES (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 ...