356 research outputs found
Constructing Improved Overlap Fermions in QCD
We describe an explicit construction of approximate Ginsparg-Wilson fermions
for QCD. We use ingredients of perfect action origin, and further elements. The
spectrum of the lattice Dirac operator reveals the quality of the
approximation. We focus on beta =6 for optimisation. Such fermions are intended
to be inserted into the overlap formula. Hence we also test the speed of
convergence under polynomial evaluation of the overlap formula.Comment: 5 pages, poster presented at Lattice 2000 (Improvement and
Renormalisation
Improving Stochastic Estimator Techniques for Disconnected Diagrams
Disconnected diagrams are expected to be sensitive to the inclusion of
dynamical fermions. We present a feasibility study for the observation of such
effects on the nucleonic matrix elements of the axial vector current, using
SESAM full QCD vacuum configurations with Wilson fermions on
lattices, at . Starting from the standard methods developed by the
Kentucky and Tsukuba groups, we investigate the improvement from various
refinements thereof.Comment: One author added. Contribution to Lattice 1997, 3 pages LaTex, to
appear in Nucl. Phys. B (Proc. Suppl.
Improved Upsilon Spectrum with Dynamical Wilson Fermions
We present results for the b \bar b spectrum obtained using an
O(M_bv^6)-correct non-relativistic lattice QCD action, where M_b denotes the
bare b-quark mass and v^2 is the mean squared quark velocity. Propagators are
evaluated on SESAM's three sets of dynamical gauge configurations generated
with two flavours of Wilson fermions at beta = 5.6. These results, the first of
their kind obtained with dynamical Wilson fermions, are compared to a quenched
analysis at equivalent lattice spacing, beta = 6.0. Using our three sea-quark
values we perform the ``chiral'' extrapolation to m_eff = m_s/3, where m_s
denotes the strange quark mass. The light quark mass dependence is found to be
small in relation to the statistical errors. Comparing the full QCD result to
our quenched simulation we find better agreement of our dynamical data with
experimental results in the spin-independent sector but observe no unquenching
effects in hyperfine-splittings. To pin down the systematic errors we have also
compared quenched results in different ``tadpole'' schemes as well as using a
lower order action. We find that spin-splittings with an O(M_bv^4) action are
O(10%) higher compared to O(M_bv^6) results. Relative to the results obtained
with the plaquette method the Landau gauge mean link tadpole scheme raises the
spin splittings by about the same margin so that our two improvements are
opposite in effect.Comment: 24 pages (latex file, Phys Rev D style file, uses epsf-style
Hadron wave functions and the issue of nucleon deformation
Using gauge invariant hadronic two- and three- density correlators we extract
information on the spatial distributions of quarks in hadrons, and on hadron
shape and multipole moments within quenched lattice QCD. Combined with the
calculation of N to Delta transition amplitudes the issue of nucleon
deformation can be addressed.Comment: 4 pages, 7 figures. Talk presented at the PANIC02 conference, Sept.
30 - Oct. 4, 2002, Osaka, Japan. Discussion of the N to Delta results
modifie
Bottomonium from NRQCD with Dynamical Wilson Fermions
We present results for the b \bar b spectrum obtained using an
O(M_bv^6)-correct non-relativistic lattice QCD action. Propagators are
evaluated on SESAM's three sets of dynamical gauge configurations generated
with two flavours of Wilson fermions at beta = 5.6. Compared to a quenched
simulation at equivalent lattice spacing we find better agreement of our
dynamical data with experimental results in the spin-independent sector but
observe no unquenching effects in hyperfine-splittings. To pin down the
systematic errors we have also compared quenched results in different
``tadpole'' schemes and used a lower order action.Comment: Talk presented at LATTICE'97, 3 pages, Late
Preconditioning of Improved and ``Perfect'' Fermion Actions
We construct a locally-lexicographic SSOR preconditioner to accelerate the
parallel iterative solution of linear systems of equations for two improved
discretizations of lattice fermions: the Sheikholeslami-Wohlert scheme where a
non-constant block-diagonal term is added to the Wilson fermion matrix and
renormalization group improved actions which incorporate couplings beyond
nearest neighbors of the lattice fermion fields. In case (i) we find the block
llssor-scheme to be more effective by a factor about 2 than odd-even
preconditioned solvers in terms of convergence rates, at beta=6.0. For type
(ii) actions, we show that our preconditioner accelerates the iterative
solution of a linear system of hypercube fermions by a factor of 3 to 4.Comment: 27 pages, Latex, 17 Figures include
Moments of Structure Functions in Full QCD
Moments of the quark density distribution, moments of the quark helicity
distribution, and the tensor charge are calculated in full QCD. Calculations of
matrix elements of operators from the operator product expansion have been
performed on lattices for Wilson fermions at
using configurations from the SESAM collaboration and at using
configurations from SCRI. One-loop perturbative renormalization corrections are
included. Selected results are compared with corresponding quenched
calculations and with calculations using cooled configurations.Comment: Lattice 2000 (Hadronic Matrix Elements), 4 pages, 5 figure
On the low fermionic eigenmode dominance in QCD on the lattice
We demonstrate the utility of a spectral approximation to fermion loop
operators using low-lying eigenmodes of the hermitian Dirac-Wilson matrix, Q.
The investigation is based on a total of 400 full QCD vacuum configurations,
with two degenerate flavors of dynamical Wilson fermions at beta =5.6, at two
different sea quark masses. The spectral approach is highly competitive for
accessing both topological charge and disconnected diagrams, on large lattices
and small quark masses. We propose suitable partial summation techniques that
provide sufficient saturation for estimating Tr Q^{-1}, which is related to the
topological charge. In the effective mass plot of the eta' meson we achieved a
consistent early plateau formation, by ground state projecting the connected
piece of its propagator.Comment: 15 pages, 25 figures, citations adde
Calculation of Nucleon Electromagnetic Form Factors
The fomalism is developed to express nucleon matrix elements of the
electromagnetic current in terms of form factors consistent with the
translational, rotational, and parity symmetries of a cubic lattice. We
calculate the number of these form factors and show how appropriate linear
combinations approach the continuum limit.Comment: Lattice 2002 (hadronic matrix elements) 3 page
The PMS project: Poor Man's Supercomputer
We briefly describe the Poor Man's Supercomputer (PMS) project carried out at
Eotvos University, Budapest. The goal was to develop a cost effective,
scalable, fast parallel computer to perform numerical calculations of physical
problems that can be implemented on a lattice with nearest neighbour
interactions. To this end we developed the PMS architecture using PC components
and designed a special, low cost communication hardware and the driver software
for Linux OS. Our first implementation of PMS includes 32 nodes (PMS1). The
performance of PMS1 was tested by Lattice Gauge Theory simulations. Using SU(3)
pure gauge theory or bosonic MSSM on PMS1 we obtained 3Mflop
price-to-sustained performance for double and single precision operations,
respectively. The design of the special hardware and the communication driver
are freely available upon request for non-profit organizations.Comment: Latex, 13 pages, 6 figures included, minor additions, typos correcte
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