1,637 research outputs found
The Perfect Quark-Gluon Vertex Function
We evaluate a perfect quark-gluon vertex function for QCD in coordinate space
and truncate it to a short range. We present preliminary results for the
charmonium spectrum using this quasi-perfect action.Comment: 3 pages LaTex, 4 figures, poster presented at LATTICE9
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
Casimir scaling or flux counting?
Potentials between two static sources in various representations of the SU(3)
gauge group are determined on anisotropic 3+1 dimensional lattices. Strong
evidence in favour of "Casimir scaling" is found.Comment: 4 pages Latex, epscrc2.sty with 2 epsf figure
Update: Accurate Determinations of alpha_s from Realistic Lattice QCD
We use lattice QCD simulations, with MILC configurations (including vacuum
polarization from u, d, and s quarks), to update our previous determinations of
the QCD coupling constant. Our new analysis uses results from 6 different
lattice spacings and 12 different combinations of sea-quark masses to
significantly reduce our previous errors. We also correct for
finite-lattice-spacing errors in the scale setting, and for nonperturbative
chiral corrections to the 22 short-distance quantities from which we extract
the coupling. Our final result is alpha_V(7.5GeV,nf=3) = 0.2120(28), which is
equivalent to alpha_msbar(M_Z,n_f=5)= 0.1183(8). We compare this with our
previous result, which differs by one standard deviation.Comment: 12 pages, 2 figures, 4 table
High-precision determination of the light-quark masses from realistic lattice QCD
Three-flavor lattice QCD simulations and two-loop perturbation theory are
used to make the most precise determination to date of the strange-, up-, and
down-quark masses, , , and , respectively. Perturbative matching
is required in order to connect the lattice-regularized bare- quark masses to
the masses as defined in the \msbar scheme, and this is done here for the first
time at next-to-next-to leading (or two-loop) order. The bare-quark masses
required as input come from simulations by the MILC collaboration of a
highly-efficient formalism (using so-called ``staggered'' quarks), with three
flavors of light quarks in the Dirac sea; these simulations were previously
analyzed in a joint study by the HPQCD and MILC collaborations, using
degenerate and quarks, with masses as low as , and two values of
the lattice spacing, with chiral extrapolation/interpolation to the physical
masses. With the new perturbation theory presented here, the resulting \msbar\
masses are m^\msbar_s(2 {GeV}) = 87(0)(4)(4)(0) MeV, and \hat m^\msbar(2
{GeV}) = 3.2(0)(2)(2)(0) MeV, where \hat m = \sfrac12 (m_u + m_d) is the
average of the and masses. The respective uncertainties are from
statistics, simulation systematics, perturbation theory, and
electromagnetic/isospin effects. The perturbative errors are about a factor of
two smaller than in an earlier study using only one-loop perturbation theory.
Using a recent determination of the ratio due to
the MILC collaboration, these results also imply m^\msbar_u(2 {GeV}) =
1.9(0)(1)(1)(2) MeV and m^\msbar_d(2 {GeV}) = 4.4(0)(2)(2)(2) MeV. A
technique for estimating the next order in the perturbative expansion is also
presented, which uses input from simulations at more than one lattice spacing
Unquenched Charmonium with NRQCD - Lattice 2000
We present results from a series of NRQCD simulations of the charmonium
system, both in the quenched approximation and with n_f = 2 dynamical quarks.
The spectra show evidence for quenching effects of ~10% in the S- and
P-hyperfine splittings. We compare this with other systematic effects.
Improving the NRQCD evolution equation altered the S-hyperfine by as much as 20
MeV, and we estimate radiative corrections may be as large as 40%.Comment: Lattice 2000 (Heavy Quark Physics
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