We investigate the relationships among the Pad e table, continued fraction expansions and perfect reconstruction (PR) lter banks. We show how the Pad e table can be utilized to develop a new lattice structure for general two-channel bi-orthogonal perfect reconstruction (PR) lter banks. This is achieved through characterization of all two-channel bi-orthogonal PR lter banks. The parameterization...

The anisotropic lattice has proved an invaluable tool for simulations of a variety of physical quantities. The precision calculation of the glueball spectrum was an early application of the approach [1] and it was recognized that anisotropic actions may also be advantageous in heavy quark physics calculations [2]. Correlators of heavy particles such as glueballs and hadrons with a charm or bott...

We present a new family of gauge invariant non-local order parameters ∆α for (non-abelian) discrete gauge theories on a Euclidean lattice, which are in one-to-one correspondence with the excitation spectrum that follows from the representation theory of the quantum double D(H) of the finite group H . These combine magnetic flux-sector labeled by a conjugacy class with an electric representation...

A new algorithm for calculation of lattice parameters from convergent beam electron diffraction (CBED) patterns has been developed. Like most of the previous approaches to the problem, it is an optimization procedure matching geometric elements of high order Laue zone (HOLZ) lines in experimental patterns to corresponding elements of kinematically simulated patterns. The procedure uses an origi...

I review recent progresses in heavy quarks physics on the lattice. I focus on decay constants and form factors relevant for the extraction of CKM matrix elements from experimental data. B− B̄ mixing is also discussed. In the last part of the paper I describe phenomenological applications of Heavy Quark Effective Theory (HQET) on the lattice, presenting in some detail the recent non-perturbative ...

The natural choice for the fundamental parameters of QCD are the renormalization group invariant (RGI) quark masses, Mi, i = u, d, ..., and the Λ-parameter. The RGI masses do not depend on a renormalization scheme and the scheme dependence of the Λ-parameter is exactly given by a one-loop coefficient. These quantities are in principle free of perturbative uncertainties. Their determination from...

In this work a static quark-antiquark potential that is valid for all quark-antiquark separations is constructed. By matching the long range results from lattice QCD to a short range perturbative part we get a continuous potential expression. The lattice part is obtained by tting an analytic potential model to lattice data for di erent lattice spacings a. Extrapolating the tting parameters to t...

Native point defects in yttrium aluminum garnet (YAG) are studied in the framework of the pair-potential approximation, coupled with the shell-model description of the lattice ions. For the perfect lattice, a new set of potential parameters is obtained; these parameters reproduce the structure, elastic, and dielectric constants of YAG very well. The calculated formulation energies for native de...

The SPEAR 3 upgrade lattice will provide much reduced beam emittance to increase the brightness of synchrotron radiation beams from wigglers and undulators. Seven existing insertion devices will be used in the lattice. In this paper we review the wiggler parameters, outline the wiggler compensation scheme, and evaluate wiggler effect on the optics and dynamic aperture. Abstract The SPEAR 3 upgr...