388 research outputs found
Locality with staggered fermions
We address the locality problem arising in simulations, which take the square
root of the staggered fermion determinant as a Boltzmann weight to reduce the
number of dynamical quark tastes. A definition of such a theory necessitates an
underlying local fermion operator with the same determinant and the
corresponding Green's functions to establish causality and unitarity. We
illustrate this point by studying analytically and numerically the square root
of the staggered fermion operator. Although it has the correct weight, this
operator is non-local in the continuum limit. Our work serves as a warning that
fundamental properties of field theories might be violated when employing
blindly the square root trick. The question, whether a local operator
reproducing the square root of the staggered fermion determinant exists, is
left open.Comment: 24 pages, 7 figures, few remarks added for clarity, accepted for
publication in Nucl. Phys.
Properties of light scalar mesons from lattice QCD
Lattice QCD with flavours of sea quark is used to explore the
spectrum and decay of scalar mesons. We are able to determine the -
mass difference and this leads to the conclusion that the lightest non-singlet
scalar meson () has a mass of 1.01(4) GeV. We determine from the lattice
the coupling strength to KK and . We compute the leptonic decay
constant of the lightest non-singlet scalar meson.
We discuss the impact of these lattice results on the interpretation of the
state. We also discuss states.Comment: version accepted by Phys Rev
Nucleon electromagnetic form factors in two-flavour QCD
We present results for the nucleon electromagnetic form factors, including
the momentum transfer dependence and derived quantities (charge radii and
magnetic moment). The analysis is performed using O(a) improved Wilson fermions
in Nf=2 QCD measured on the CLS ensembles. Particular focus is placed on a
systematic evaluation of the influence of excited states in three-point
correlation functions, which lead to a biased evaluation, if not accounted for
correctly. We argue that the use of summed operator insertions and fit
ans\"atze including excited states allow us to suppress and control this
effect. We employ a novel method to perform joint chiral and continuum
extrapolations, by fitting the form factors directly to the expressions of
covariant baryonic chiral effective field theory. The final results for the
charge radii and magnetic moment from our lattice calculations include, for the
first time, a full error budget. We find that our estimates are compatible with
experimental results within their overall uncertainties.Comment: 22 pages, 10 figures, citations modifie
The locality problem for two tastes of staggered fermions
We address the locality problem arising in simulations, which take the square
root of the staggered fermion determinant as a Boltzmann weight to reduce the
number of dynamical quark tastes from four to two. We study analytically and
numerically the square root of the staggered fermion operator as a candidate to
define a two taste theory from first principles. Although it has the correct
weight, this operator is non-local in the continuum limit. Our work serves as a
warning that fundamental properties of field theories might be violated when
employing blindly the square root trick. The question, whether a local operator
reproducing the square root of the staggered fermion determinant exists, is
left open.Comment: Talk presented at Lattice2004(theory), Fermilab, June 21-26, 200
Improved interpolating fields for hadrons at non-zero momentum
We generalize Gaussian/Wuppertal smearing in order to produce non-spherical
wave functions. We show that we can achieve a reduction in the noise-to-signal
ratio for correlation functions of certain hadrons at non-zero momentum, while
at the same time preserving a good projection on the ground state.Comment: 10 pages, 7 figures. Version accepted for publication in EPJ
Monte Carlo simulations and field transformation: the scalar case
We describe a new method in lattice field theory to compute observables at
various values of the parameters lambda_i in the action S[phi,lambda_i].
Firstly one performs a single simulation of a ``reference action'' S[phi^r,
lambda_i^r] with fixed lambda_i^r. Then the phi^r-configurations are
transformed into those of a field phi distributed according to S[phi,lambda_i],
apart from a ``remainder action'' which enters as a \break weight. In this way
we measure the observables at values of lambda_i different from lambda_i^r. We
study the performance of the algorithm in the case of the simplest
renormalizable model, namely the phi^4 scalar theory on a four dimensional
lattice and compare the method with the ``histogram'' technique of which it is
a generalization.Comment: Latex, 23 pgs, 8 eps-figures include
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