115 research outputs found
Numerical techniques for lattice QCD in the --regime
In lattice QCD it is possible, in principle, to determine the parameters in
the effective chiral lagrangian (including weak interaction couplings) by
performing numerical simulations in the --regime, i.e. at quark
masses where the physical extent of the lattice is much smaller than the
Compton wave length of the pion. The use of a formulation of the lattice theory
that preserves chiral symmetry is attractive in this context, but the numerical
implementation of any such approach requires special care in this kinematical
situation due to the presence of some very low eigenvalues of the Dirac
operator. We discuss a set of techniques (low-mode preconditioning and
adapted-precision algorithms in particular) that make such computations
numerically safe and more efficient by a large factor.Comment: Plain TeX source, 32 pages, figures include
Exact results and approximation schemes for the Schwinger model with the overlap Dirac operator
We propose new techniques to implement numerically the overlap-Dirac operator
which exploit the physical properties of the underlying theory to avoid nested
algorithms. We test these procedures in the two-dimensional Schwinger model and
the results are very promising. We also present a detailed computation of the
spectrum and chiral properties of the Schwinger Model in the overlap lattice
formulation.Comment: Lattice 2000 (Chiral Fermions
Light hadron spectra and wave functions in quenched QCD with overlap quarks on a large lattice
A simulation of quenched QCD with the overlap Dirac operator has been
completed using 100 Wilson gauge configurations at beta=6 on an 18^3x64
lattice. We present results for meson and baryon masses, meson final state
"wave functions'' and other observables.Comment: 5 LaTeX pages (espcrc2.sty), 13 figures. Combined contributions by
J.H., L.L. and C.R. at Lattice2004(spectrum), Fermilab, June 21-26, 200
Chiral behavior of pseudo-Goldstone boson masses and decay constants in 2+1 flavor QCD
We present preliminary results for the chiral behavior of charged
pseudo-Goldstone-boson masses and decay constants. These are obtained in
simulations with N_f=2+1 flavors of tree-level, O(a)-improved Wilson sea
quarks. In these simulations, mesons are composed of either valence quarks
discretized in the same way as the sea quarks (unitary simulations) or of
overlap valence quarks (mixed-action simulations). We find that the chiral
behavior of the pseudoscalar meson masses in the mixed-action calculations
cannot be explained with continuum, partially-quenched chiral perturbation
theory. We show that the inclusion of O(a^2) unitarity violations in the chiral
expansion resolves this discrepancy and that the size of the unitarity
violations required are consistent with those which we observe in the
zero-momentum, scalar-isotriplet-meson propagator.Comment: 7 pages, 3 figures, talk by L. Lellouch at the XXV International
Symposium on Lattice Field Theory (LATTICE 2007), 30 July - 4 August 2007,
Regensburg, German
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