57,292 research outputs found
Dynamical Chiral Symmetry Breaking in Landau gauge QCD
We summarise results for the propagators of Landau gauge QCD from the Green's
functions approach and lattice calculations. The nonperturbative solutions for
the ghost, gluon and quark propagators from a coupled set of Dyson-Schwinger
equations agree almost quantitatively with corresponding lattice results.
Similar unquenching effects are found in both approaches. The dynamically
generated quark masses are close to `phenomenological' values. The chiral
condensate is found to be large.Comment: 4 pages, 2 figures, talk given by C.F. at 6th Conference on Quark
Confinement and the Hadron Spectrum, Villasimius, Sardinia, Italy, 21-25 Sep
200
Aspects of quark mass generation on a torus
In this talk we report on recent results for the quark propagator on a
compact manifold. The corresponding Dyson-Schwinger equations on a torus are
solved on volumes similar to the ones used in lattice calculations. The
quark-gluon interaction is fixed such that the lattice results are reproduced.
We discuss both the effects in the infinite volume/continuum limit as well as
effects when the volume is small.Comment: 3 pages, 3 figures; talk given by CF at QNP06, Madrid, June 200
Finite volume effects in a quenched lattice-QCD quark propagator
We investigate finite volume effects in the pattern of chiral symmetry
breaking. To this end we employ a formulation of the Schwinger-Dyson equations
on a torus which reproduces results from the corresponding lattice simulations
of staggered quarks and from the overlap action. Studying the volume dependence
of the quark propagator we find quantitative differences with the infinite
volume result at small momenta and small quark masses. We estimate the minimal
box length L below which chiral perturbation theory cannot be applied to be L
\simeq 1.6 fm. In the infinite volume limit we find a chiral condensate of
||_{\bar{MS}}^{2 GeV} = (253 \pm 5.0 MeV)^3, an up/down quark mass of
m_{\bar{MS}}^{2 GeV} = 4.1 \pm 0.3 MeV and a pion decay constant which is only
ten percent smaller than the experimental value.Comment: 19 pages, 8 figures. v2: minor clarifications added, version
published in PR
Quark Condensates: Flavour Dependence
We determine the q-bar q condensate for quark masses from zero up to that of
the strange quark within a phenomenologically successful modelling of continuum
QCD by solving the quark Schwinger-Dyson equation. The existence of multiple
solutions to this equation is the key to an accurate and reliable extraction of
this condensate using the operator product expansion. We explain why
alternative definitions fail to give the physical condensate.Comment: 9 pages, 7 figures, uses appolb.cls, LaTeX. Talk presented by R.
Williams at the EURIDICE Final Meeting, August 24-27th, 2006, Kazimierz,
Polan
Dynamical Mass Generation in Landau gauge QCD
We summarise results on the infrared behaviour of Landau gauge QCD from the
Green's functions approach and lattice calculations. Approximate,
nonperturbative solutions for the ghost, gluon and quark propagators as well as
first results for the quark-gluon vertex from a coupled set of Dyson-Schwinger
equations are compared to quenched and unquenched lattice results. Almost
quantitative agreement is found for all three propagators. Similar effects of
unquenching are found in both approaches. The dynamically generated quark
masses are close to `phenomenological' values. First results for the
quark-gluon vertex indicate a complex tensor structure of the non-perturbative
quark-gluon interaction.Comment: 6 pages, 6 figures, Summary of a talk given at the international
conference QCD DOWN UNDER, March 10 - 19, Adelaide, Australi
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