272 research outputs found
Hadron masses and decay constants in quenched QCD
We present results for the mass spectrum and decay constants using
non-perturbatively O(a) improved Wilson fermions. Three values of and
30 different quark masses are used to obtain the chiral and continuum limits.
Special emphasis will be given to the question of taking the chiral limit and
the existence of non-analytic behavior predicted by quenched chiral
perturbation theory.Comment: LATTICE99(spectrum), 3 pages, 6 figure
Full QCD light hadron spectrum from the CP-PACS
We report on an on-going two-flavor full QCD study on CP-PACS using an
RG-improved gauge action and a tadpole-improved SW quark action. Runs are made
for three lattice spacings , 1.3, and 2.5 GeV on
, , and lattices. Four sea quark
masses having --0.6 are simulated, for each
of which hadron masses are evaluated for valence quark masses corresponding to
--0.5. Results for hadron and light quark
masses are presented and compared with those obtained in quenched QCD.Comment: LATTICE98(spectrum), 3 pages, 3 figure
The static quark potential in full QCD
We report results on the static quark potential in two-flavor full QCD. The
calculation is performed for three values of lattice spacing and 2.5 GeV on and
lattices respectively, at sea quark masses corresponding to . An RG-improved gauge action and a tadpole-improved SW clover
quark action are employed. We discuss scaling of and
effects of dynamical quarks on the potential.Comment: LATTICE98(spectrum), 3 pages, 4 figure
Städtenetz Schweiz – Ergebnisse einer Untersuchung des IREC-EPFL im Auftrag des Bundesamtes für Raumplanung
Boundary Limitation of Wavenumbers in Taylor-Vortex Flow
We report experimental results for a boundary-mediated wavenumber-adjustment
mechanism and for a boundary-limited wavenumber-band of Taylor-vortex flow
(TVF). The system consists of fluid contained between two concentric cylinders
with the inner one rotating at an angular frequency . As observed
previously, the Eckhaus instability (a bulk instability) is observed and limits
the stable wavenumber band when the system is terminated axially by two rigid,
non-rotating plates. The band width is then of order at small
() and agrees well with
calculations based on the equations of motion over a wide -range.
When the cylinder axis is vertical and the upper liquid surface is free (i.e.
an air-liquid interface), vortices can be generated or expelled at the free
surface because there the phase of the structure is only weakly pinned. The
band of wavenumbers over which Taylor-vortex flow exists is then more narrow
than the stable band limited by the Eckhaus instability. At small
the boundary-mediated band-width is linear in . These results are
qualitatively consistent with theoretical predictions, but to our knowledge a
quantitative calculation for TVF with a free surface does not exist.Comment: 8 pages incl. 9 eps figures bitmap version of Fig
Order a improved renormalization constants
We present non-perturbative results for the constants needed for on-shell
improvement of bilinear operators composed of Wilson fermions. We work
at and 6.2 in the quenched approximation. The calculation is done
by imposing axial and vector Ward identities on correlators similar to those
used in standard hadron mass calculations. A crucial feature of the calculation
is the use of non-degenerate quarks. We also obtain results for the constants
needed for off-shell improvement of bilinears, and for the scale and
scheme independent renormalization constants, (Z_A), (Z_V) and (Z_S/Z_P).
Several of the constants are determined using a variety of different Ward
identities, and we compare their relative efficacies. In this way, we find a
method for calculating that gives smaller errors than that used
previously. Wherever possible, we compare our results with those of the ALPHA
collaboration (who use the Schr\"odinger functional) and with 1-loop
tadpole-improved perturbation theory.Comment: 48 pages. Modified "axis" source for figures also included. Typos
corrected (version published in Phys. Rev. D
Topological Lattice Actions
We consider lattice field theories with topological actions, which are
invariant against small deformations of the fields. Some of these actions have
infinite barriers separating different topological sectors. Topological actions
do not have the correct classical continuum limit and they cannot be treated
using perturbation theory, but they still yield the correct quantum continuum
limit. To show this, we present analytic studies of the 1-d O(2) and O(3)
model, as well as Monte Carlo simulations of the 2-d O(3) model using
topological lattice actions. Some topological actions obey and others violate a
lattice Schwarz inequality between the action and the topological charge Q.
Irrespective of this, in the 2-d O(3) model the topological susceptibility
\chi_t = \l/V is logarithmically divergent in the continuum limit.
Still, at non-zero distance the correlator of the topological charge density
has a finite continuum limit which is consistent with analytic predictions. Our
study shows explicitly that some classically important features of an action
are irrelevant for reaching the correct quantum continuum limit.Comment: 38 pages, 12 figure
Light Hadron Spectrum and Quark Masses from Quenched Lattice QCD
We present details of simulations for the light hadron spectrum in quenched
QCD carried out on the CP-PACS parallel computer. Simulations are made with the
Wilson quark action and the plaquette gauge action on 32^3x56 - 64^3x112
lattices at four lattice spacings (a \approx 0.1-0.05 fm) and the spatial
extent of 3 fm. Hadronic observables are calculated at five quark masses
(m_{PS}/m_V \approx 0.75 - 0.4), assuming the u and d quarks being degenerate
but treating the s quark separately. We find that the presence of quenched
chiral singularities is supported from an analysis of the pseudoscalar meson
data. We take m_\pi, m_\rho and m_K (or m_\phi) as input. After chiral and
continuum extrapolations, the agreement of the calculated mass spectrum with
experiment is at a 10% level. In comparison with the statistical accuracy of
1-3% and systematic errors of at most 1.7% we have achieved, this demonstrates
a failure of the quenched approximation for the hadron spectrum: the meson
hyperfine splitting is too small, and the octet masses and the decuplet mass
splittings are both smaller than experiment. Light quark masses are calculated
using two definitions: the conventional one and the one based on the
axial-vector Ward identity. The two results converge toward the continuum
limit, yielding m_{ud}=4.29(14)^{+0.51}_{-0.79} MeV. The s quark mass depends
on the strange hadron mass chosen for input: m_s = 113.8(2.3)^{+5.8}_{-2.9} MeV
from m_K and m_s = 142.3(5.8)^{+22.0}_{-0} MeV from m_\phi, indicating again a
failure of the quenched approximation. We obtain \Lambda_{\bar{MS}}^{(0)}=
219.5(5.4) MeV. An O(10%) deviation from experiment is observed in the
pseudoscalar meson decay constants.Comment: 60 pages, 49 figure
Quenched QCD with O(a) improvement: I. The spectrum of light hadrons
We present a comprehensive study of the masses of pseudoscalar and vector
mesons, as well as octet and decuplet baryons computed in O(a) improved
quenched lattice QCD. Results have been obtained using the non-perturbative
definition of the improvement coefficient c_sw, and also its estimate in
tadpole improved perturbation theory. We investigate effects of improvement on
the incidence of exceptional configurations, mass splittings and the parameter
J. By combining the results obtained using non-perturbative and tadpole
improvement in a simultaneous continuum extrapolation we can compare our
spectral data to experiment. We confirm earlier findings by the CP-PACS
Collaboration that the quenched light hadron spectrum agrees with experiment at
the 10% level.Comment: 36 pages, 7 postscript figures, REVTEX; typo in Table XVIII
corrected; extended discussion of finite-size effects in sections III and
VII; version to appear in Phys. Rev.
Phase structure and critical temperature of two-flavor QCD with a renormalization group improved gauge action and clover improved Wilson quark action
We study the finite-temperature phase structure and the transition
temperature of QCD with two flavors of dynamical quarks on a lattice with the
temporal size , using a renormalization group improved gauge action and
the Wilson quark action improved by the clover term. The region of a
parity-broken phase is identified, and the finite-temperature transition line
is located on a two-dimensional parameter space of the coupling ()
and hopping parameter . Near the chiral transition point, defined as the
crossing point of the critical line of the vanishing pion mass and the line of
finite-temperature transition, the system exhibits behavior well described by
the scaling exponents of the three-dimensional O(4) spin model. This indicates
a second-order chiral transition in the continuum limit. The transition
temperature in the chiral limit is estimated to be MeV.Comment: Typographical errors fixed. RevTeX, 19 pages, 17 PS figure
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