We compute the mass of the charm quark using both quenched and dynamical lattice QCD calculations. We examine the effects of mass dependent lattice artifacts by comparing two different formalisms for the heavy quarks. We take the continuum limit of the charm mass in quenched QCD by extrapolating from three different lattice spacings. At a fixed lattice spacing, the mass of the charm quark is co...

The masses and dispersions of light hadrons are calculated in lattice QCD using an O(a) tadpole-improved gluon action and the Dχ34 action, an O(a) tadpoleimproved next-nearest-neighbor fermion action originally proposed by Hamber and Wu. Two lattices of constant volume with lattice spacings of approximately 0.40 fm and 0.24 fm are considered. The results reveal some scaling violations at the co...

The current constraints from lattice QCD on the existence of the H-dibaryon are discussed. With only two significant lattice QCD calculations of the H-dibaryon binding energy at approximately the same lattice spacing, the forms of the chiral and continuum extrapolations to the physical point are not determined. In this brief report, we consider the constraints on the H-dibaryon imposed by two s...

A brief overview of the lattice technique of studying QCD is presented. Recent results from the UKQCD Collaboration’s simulations with dynamical quarks are then presented. In this work, the calculations are all at a fixed lattice spacing and volume, but varying sea quark mass from infinite (corresponding to the quenched simulation) down to roughly that of the strange quark mass. The main aim of...

We present results for QCD with 2 degenerate flavours of quark using a non-perturbatively improved action on a lattice volume of 16 × 32 where the bare gauge coupling and bare dynamical quark mass have been chosen to maintain a fixed physical lattice spacing and volume (1.71 fm). By comparing measurements from these matched ensembles, including quenched ones, we find evidence of dynamical quark...

Statistical geometry furnishes the tool that allows the transfer of results from a lattice with finite lattice parameter to the continuum. Since lattice simulations are simpler than continuum ones, this suggests that larger scale simulations for the continuum might be more effectively carried out on a lattice with finite lattice parameter followed by the indicated transfer. We also show that a ...

Working with a pion mass mπ ≈ 150 MeV, we study ππ and Kπ scattering using two flavours of non-perturbatively improved Wilson fermions at a lattice spacing a ≈ 0.071 fm. Employing two lattice volumes with linear spatial extents of Ns = 48 and Ns = 64 points and moving frames, we extract the phase shifts for p-wave ππ and Kπ scattering near the ρ and K∗ resonances. Comparing our results to those...

A lattice diagram is a finite list L = of lattice cells. The corresponding lattice diagram determinant is ∆ L (X; Y) = det x pj i y qj i. The space M L is the space spanned by all partial derivatives of ∆ L (X; Y). We describe here how a Schur function partial derivative operator acts on lattice diagrams with distinct cells in the positive quadrant.

Results from a calculation of the low-lying glueball spectrum of pure-gauge SU(3) are used as a test of the effectiveness of improved discretisation schemes in reducing finite spacing errors. Glueball masses are extracted from simulations on anisotropic lattices, where the temporal lattice spacing is much shorter than the spatial ones. This allows clearer resolution of the decay of glueball cor...