130 research outputs found
Improvement for Quenched Wilson Fermions
We briefly describe some of our recent results for the mass spectrum and
matrix elements using improved fermions for quenched QCD. Where possible
a comparison is made between improved and Wilson fermions.Comment: 6 pages, Latex, 11 figures, epsf.sty and buckow1.sty needed
(buckow1.sty included). Talk presented at the 31st Ahrenshoop Symposium on
the Theory of Elementary Particles, September 1997, Buckow, German
Isospin splittings of meson and baryon masses from three-flavor lattice QCD + QED
Lattice QCD simulations are now reaching a precision where isospin breaking
effects become important. Previously, we have developed a program to
systematically investigate the pattern of flavor symmetry beaking within QCD
and successfully applied it to meson and baryon masses involving up, down and
strange quarks. In this Letter we extend the calculations to QCD + QED and
present our first results on isospin splittings in the pseudoscalar meson and
baryon octets. In particular, we obtain the nucleon mass difference of
M_n-M_p=1.35(18)(8)\,\mbox{MeV} and the electromagnetic contribution to the
pion splitting M_{\pi^+}-M_{\pi^0}=4.60(20)\,\mbox{MeV}. Further we report
first determination of the separation between strong and electromagnetic
contributions in the scheme.Comment: 14 pages, 10 figures, text and figures added, Journal versio
Reply to "Comment on `Lattice determination of Sigma - Lambda mixing' "
In this Reply, we respond to the above Comment. Our computation [Phys. Rev. D
91 (2015) 074512] only took into account pure QCD effects, arising from quark
mass differences, so it is not surprising that there are discrepancies in
isospin splittings and in the Sigma - Lambda mixing angle. We expect that these
discrepancies will be smaller in a full calculation incorporating QED effects.Comment: 5 page
Connected and disconnected quark contributions to hadron spin
By introducing an external spin operator to the fermion action, the quark
spin fractions of hadrons are determined from the linear response of the hadron
energies using the Feynman-Hellmann (FH) theorem. At our SU(3)-flavour
symmetric point, we find that the connected quark spin fractions are
universally in the range 55-70\% for vector mesons and octet and decuplet
baryons. There is an indication that the amount of spin suppression is quite
sensitive to the strength of SU(3) breaking. We also present first preliminary
results applying the FH technique to calculations of quark-line disconnected
contributions to hadronic matrix elements of axial and tensor operators. At the
SU(3)-flavour symmetric point we find a small negative contribution to the
nucleon spin from disconnected quark diagrams, while the corresponding tensor
matrix elements are consistent with zero.Comment: 7 pages, 5 figures, 32nd International Symposium on Lattice Field
Theor
Applications of the Feynman-Hellmann theorem in hadron structure
The Feynman-Hellmann (FH) relation offers an alternative way of accessing
hadronic matrix elements through artificial modifications to the QCD
Lagrangian. In particular, a FH-motivated method provides a new approach to
calculations of disconnected contributions to matrix elements and high-momentum
nucleon and pion form factors. Here we present results for the total nucleon
axial charge, including a statistically significant non-negative total
disconnected quark contribution of around at an unphysically heavy pion
mass. Extending the FH relation to finite-momentum transfers, we also present
calculations of the pion and nucleon electromagnetic form factors up to
momentum transfers of around 7-8 GeV. Results for the nucleon are not able
to confirm the existence of a sign change for the ratio , but
suggest that future calculations at lighter pion masses will provide
fascinating insight into this behaviour at large momentum transfers
Wilson flow and scale setting from lattice QCD
We give a determination of the phenomenological value of the Wilson (or
gradient) flow scales t0 and w0 for 2+1 flavours of dynamical quarks. The
simulations are performed keeping the average quark mass constant, which allows
the approach to the physical point to be made in a controlled manner. O(a)
improved clover fermions are used and together with four lattice spacings this
allows the continuum extrapolation to be taken.Comment: 24 pages, 11 figure
Renormalisation of composite operators in lattice QCD: perturbative versus nonperturbative
The perturbative and nonperturbative renormalisation of quark-antiquark
operators in lattice QCD with two flavours of clover fermions is investigated
within the research programme of the QCDSF collaboration. Operators with up to
three derivatives are considered. The nonperturbative results based on the
RI-MOM scheme are compared with estimates from one- and two-loop lattice
perturbation theory.Comment: 7 pages, 4 figures, talk given at the XXVIII International Symposium
on Lattice Field Theory (Lattice 2010), June 14-19 2010, Villasimius, Ital
Distribution Amplitudes of Pseudoscalar Mesons
We present results for the first two moments of the distribution amplitudes
of pseudoscalar mesons. Using two flavors of non-perturbatively improved clover
fermions and non-perturbative renormalization of the matrix elements we perform
both chiral and continuum extrapolations and compare with recent results from
models and experiments.Comment: 7 pages, 4 figures, based on presentation at Lattice 200
A lattice determination of Sigma - Lambda mixing
Isospin breaking effects in baryon octet (and decuplet) masses are due to a
combination of up and down quark mass differences and electromagnetic effects
and lead to small mass splittings. Between the Sigma and Lambda this mass
splitting is much larger, this being mostly due to their different
wavefunctions. However when isospin is broken, there is a mixing between
between these states. We describe the formalism necessary to determine the QCD
mixing matrix and hence find the mixing angle and mass splitting between the
Sigma and Lambda particles due to QCD effects.Comment: 40 pages, 5 figures, published versio
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