58 research outputs found
Meson Correlation Functions in the epsilon-Regime
We present a numerical pilot study of the meson correlation functions in the
epsilon-regime of chiral perturbation theory. Based on simulations with overlap
fermions we measured the axial and pseudo-scalar correlation functions, and we
discuss the implications for the leading low energy constants in the chiral
Lagrangian.Comment: 3 pages, 3 figures, talk presented at Lattice2003(chiral
Simulating chiral quarks in the epsilon-regime of QCD
We present simulation results for lattice QCD with chiral fermions in small
volumes, where the epsilon-expansion of chiral perturbation theory applies. Our
data for the low lying Dirac eigenvalues, as well as mesonic correlation
functions, are in agreement with analytical predictions. This allows us to
extract values for the leading Low Energy Constants F_{pi} and Sigma.Comment: 4 pages, talk presented by W.B. at Baryons04 (Paris, October 25 - 29,
2004); one Ref. adde
Comparison between overlap and twisted mass fermions towards the chiral limit
We compare overlap fermions, which are chirally invariant, and Wilson twisted
mass fermions in the approach to the chiral limit. Our quenched simulations
reveal that with both formulations of lattice fermions pion masses of O(250
MeV) can be reached in practical simulations. Our comparison is done at a fixed
lattice spacing a=0.123 fm. Several quantities are measured, such as hadron
masses and pseudoscalar decay constants.Comment: Lattice2004(chiral
Random Matrix Theory and the Spectra of Overlap Fermions
The application of Random Matrix Theory to the Dirac operator of QCD yields
predictions for the probability distributions of the lowest eigenvalues. We
measured Dirac operator spectra using massless overlap fermions in quenched QCD
at topological charge \nu = 0, +- 1 and +- 2, and found agreement with those
predictions - at least for the first non-zero eigenvalue - if the volume
exceeds about (1.2 fm)^4.Comment: 3 pages, talk presented at Lattice2003(chiral
Twisted mass chiral perturbation theory for 2+1+1 quark flavours
We present results for the masses of pseudoscalar mesons in twisted mass
lattice QCD with a degenerate doublet of u and d quarks and a non-degenerate
doublet of s and c quarks in the framework of next-to-leading order chiral
perturbation theory, including lattice effects up to O(a^2). The masses depend
on the two twist angles for the light and heavy sectors. For maximal twist in
both sectors, O(a)-improvement is explicitly exhibited. The mixing of
flavour-neutral mesons is also discussed, and results in the literature for the
case of degenerate s and c quarks are corrected.Comment: LaTeX2e, 12 pages, corrected typo
Low-energy couplings of QCD from current correlators near the chiral limit
We investigate a new numerical procedure to compute fermionic correlation
functions at very small quark masses. Large statistical fluctuations, due to
the presence of local ``bumps'' in the wave functions associated with the
low-lying eigenmodes of the Dirac operator, are reduced by an exact low-mode
averaging. To demonstrate the feasibility of the technique, we compute the
two-point correlator of the left-handed vector current with Neuberger fermions
in the quenched approximation, for lattices with a linear extent of L~1.5 fm, a
lattice spacing a~0.09 fm, and quark masses down to the epsilon-regime. By
matching the results with the corresponding (quenched) chiral perturbation
theory expressions, an estimate of (quenched) low-energy constants can be
obtained. We find agreement between the quenched values of F extrapolated from
the p-regime and extracted in the epsilon-regime.Comment: 20 pages, 5 figure
Axial Correlation Functions in the epsilon-Regime: a Numerical Study with Overlap Fermions
We present simulation results employing overlap fermions for the axial
correlation functions in the epsilon-regime of chiral perturbation theory. In
this regime, finite size effects and topology play a dominant role. Their
description by quenched chiral perturbation theory is compared to our numerical
results in quenched QCD. We show that lattices with a linear extent L > 1.1 fm
are necessary to interpret the numerical data obtained in distinct topological
sectors in terms of the epsilon-expansion. Such lattices are, however, still
substantially smaller than the ones needed in standard chiral perturbation
theory. However, we also observe severe difficulties at very low values of the
quark mass, in particular in the topologically trivial sector.Comment: 15 pages, 6 figures, final version published in JHE
Low-energy couplings of QCD from topological zero-mode wave functions
By matching 1/m^2 divergences in finite-volume two-point correlation
functions of the scalar or pseudoscalar densities with those obtained in chiral
perturbation theory, we derive a relation between the Dirac operator zero-mode
eigenfunctions at fixed non-trivial topology and the low-energy constants of
QCD. We investigate the feasibility of using this relation to extract the pion
decay constant, by computing the zero-mode correlation functions on the lattice
in the quenched approximation and comparing them with the corresponding
expressions in quenched chiral perturbation theory.Comment: 31 pages. v2: references and a small clarification added; published
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