41 research outputs found
Low-mode averaging for baryon correlation functions
The low-mode averaging technique is a powerful tool for reducing large
fluctuations in correlation functions due to low-mode eigenvalues of the Dirac
operator. In this work we propose a generalization to baryons and test our
method on two-point correlation functions of left-handed nucleons, computed
with quenched Neuberger fermions on a lattice with extension L=1.5 fm. We show
that the statistical fluctuations can be reduced and the baryon signal
significantly improved.Comment: 6 pages, talk presented at the XXIIIrd International Symposium on
Lattice Field Theory, 25-30 July 2005, Trinity College, Dublin, Irelan
Wilson fermions in the epsilon regime
We extend the epsilon-expansion of continuum chiral perturbation theory to
nonzero lattice spacing in the framework of Wilson Chiral Perturbation Theory.
We distinguish various regimes by defining the relative power counting of the
quark mass m and the lattice spacing a. We observe that for m ~ a Lambda^2_QCD,
the explicit breaking of chiral symmetry in Wilson fermions is still driven by
the quark mass and lattice corrections are highly suppressed. The lattice
spacing effects become more pronounced for smaller quark masses and may lead to
non-trivial corrections of the continuum results at next-to-leading order. We
compute these corrections for standard current and density correlation
functions. A fit to lattice data shows that these corrections are small, as
expected.Comment: Talk presented at the XXVII International Symposium on Lattice Field
Theory, July 26-31, 2009, Peking University, Beijing, China; 7 pages, 1
figur
Finite-size scaling of heavy-light mesons
We study the finite-size scaling of heavy-light mesons in the static limit.
The most relevant effects are due to the pseudo-Goldstone boson cloud. In the
HMChPT framework we compute two-point functions of left current densitities as
well as pseudoscalar densitites for the cases in which some or all of them lay
in the epsilon-regime. As expected, finite volume dependence turns out to be
significant in this regime and can be predicted in the effective theory in
terms of the infinite-volume low-energy couplings. These results might be
relevant for extraction of heavy-light meson properties from lattice
simulations.Comment: 7 pages, 2 figures, Contributed to 27th International Symposium on
Lattice Field Theory, Beijing, China, 26 - 31 Jul 200
The epsilon regime with Wilson fermions
We study the impact of explicit chiral symmetry breaking of Wilson fermions
on mesonic correlators in the epsilon-regime using Wilson chiral perturbation
theory (WChPT). We generalize the epsilon-expansion of continuum ChPT to
nonzero lattice spacings for various quark mass regimes. It turns out that the
corrections due to a nonzero lattice spacing are highly suppressed for typical
quark masses of the order aLambda_QCD^2. The lattice spacing effects become
more pronounced for smaller quark masses and lead to non-trivial corrections of
the continuum ChPT results at next-to-leading order. We compute these
corrections for the standard current and density correlation functions. A fit
to lattice data shows that these corrections are small, as expected.Comment: 29 pages, 2 figure
Chiral low-energy constants from lattice QCD
Different strategies for the computation of QCD low-energy couplings by
matching lattice results with the chiral effective theory are reviewed. After
recalling some relevant predictions from the effective theory, the current
status of leading order (\Sigma,F, Sigma_0,F_0) and next-to-leading order (l_i,
L_i) low-energy constants is summarized, focusing on recent results obtained
with N_f=2 and N_f=2+1 lattice simulations.Comment: Plenary talk at 8th Conference Quark Confinement and the Hadron
Spectrum, September 1-6 2008, Mainz (Germany
Exploring the epsilon regime with lattice Wilson fermions
We study the impact of explicit chiral symmetry breaking of lattice Wilson
fermions on mesonic correlators in the epsilon-regime using Wilson chiral
perturbation theory. We generalize the epsilon-expansion of continuum chiral
perturbation theory to nonzero lattice spacing a and distinguish various
regimes. It turnes out that lattice corrections are highly suppressed, as long
as quark masses are of the order a\Lambda^2_QCD. The lattice spacing effects
become more pronounced for smaller quark masses and may lead to non-trivial
corrections of the continuum results at next-to-leading order. We compute these
corrections for standard current and density correlation functions. A fit to
lattice data shows that these corrections are small, as expected.Comment: 8 pages, 1 figure. Presented at the International Workshop on
Effective Field Theories: from the pion to the upsilon, February 2-6 2009,
Valencia, Spai
Electroweak penguins and SUSY K^0-\bar K^0 mixing with Neuberger quarks
We present results for Delta I=3/2 and Delta S=2 matrix elements relevant for
CP violation in K->Pi Pi decays and for the K_S-K_L mass difference in the
standard model and beyond. They were obtained with Neuberger fermions on
quenched gauge configurations generated with the Wilson plaquette action at
beta=6.0 on an 18^3x64 lattice.Comment: 4 LaTeX pages (espcrc2.sty), 6 figures. Combined contributions by
J.H., L.L. and C.R. at Lattice2004(weak), Fermilab, June 21-26, 200
Critical exponents for higher-representation sources in 3D SU(3) gauge theory from CFT
We establish an exact mapping between the multiplication table of the
irreducible representations of SU(3) and the fusion algebra of the
two-dimensional conformal field theory in the same universality class of 3D
SU(3) gauge theory at the deconfining point. In this way the Svetitsky-Yaffe
conjecture on the critical behaviour of Polyakov lines in the fundamental
representation naturally extends to whatever representation one considers.
As a consequence, the critical exponents of the correlators of these Polyakov
lines are determined. Monte Carlo simulations with sources in the symmetric
two-index representation, combined with finite-size scaling analysis, compare
very favourably with these predictions.Comment: 15 pages, 2 figure