521 research outputs found
On the IR behaviour of the Landau-gauge ghost propagator
We examine analytically the ghost propagator Dyson-Schwinger Equation (DSE)
in the deep IR regime and prove that a finite ghost dressing function at
vanishing momentum is an alternative solution (solution II) to the usually
assumed divergent one (solution I). We furthermore find that the Slavnov-Taylor
identities discriminate between these two classes of solutions and strongly
support the solution II. The latter turns out to be also preferred by lattice
simulations within numerical uncertainties.Comment: 15 pages, Axodraw neede
Gluon propagator, triple gluon vertex and the QCD coupling constant
We study the UV-scaling of the flavorless gluon propagator in the Landau
gauge in an energy window up to 9 GeV. Dominant hypercubic lattice artifacts
are eliminated. A large set of renormalization schemes is used to test
asymptotic scaling. We compare with our results obtained directly from the
triple gluon vertex. We end-up with \Lambda_{\bar{\rm{MS}}} = 318(12)(5) MeV
and 292(5)(15) MeV respectively for these two methods, compatible which each
other but significantly above the Schrodinger method estimate.Comment: 3 pages, LaTeX with two figures; presented at LATTICE9
Divergent IR gluon propagator from Ward-Slavnov-Taylor identities?
We exploit the Ward-Slavnov-Taylor identity relating the 3-gluons to the
ghost-gluon vertices to conclude either that the ghost dressing function is
finite and non vanishing at zero momentum while the gluon propagator diverges
(although it may do so weakly enough not to be in contradiction with current
lattice data) or that the 3-gluons vertex is non-regular when one momentum goes
to zero. We stress that those results should be kept in mind when one studies
the Infrared properties of the ghost and gluon propagators, for example by
means of Dyson-Schwinger equations.Comment: 6 pages, bibte
Instanton traces in lattice gluon correlation functions
Strong coupling constant computed in Landau gauge and MOM renormalization
scheme from lattice two and three gluon Green Functions exhibits an unexpected
behavior in the deep IR, showing a maximum value around . We
analise this coupling below this maximum within a semiclassical approach, were
gluon degrees of freedom at very low energies are described in terms of the
classical solutions of the lagrangian, namely instantons. We provide some new
results concerning the relationship between instantons and the low energy
dynamics of QCD, by analising gluon two- and three-point Green functions
separately and with the help of a cooling procedure to eliminate short range
correlations.Comment: 4 pages, talk given at XXXX Rencontres de Moriond on QCD and Hadronic
Interactions, La Thuile (Italy
Modified instanton profile effects from lattice Green functions
We trace here instantons through the analysis of pure Yang-Mills gluon Green
functions in the Landau gauge for a window of IR momenta (0.4 GeV
GeV). We present lattice results that can be fitted only after substituting the
BPST profile in the Instanton liquid model (ILM) by one based on the Diakonov
and Petrov variational methods. This also leads us to gain information on the
parameters of ILM.Comment: 32 pagex, 6 figure
Non-Perturbative Approach to the Landau Gauge Gluodynamics
We discuss a non-perturbative lattice calculation of the ghost and gluon
propagators in the pure Yang-Mills theory in Landau gauge. The ultraviolet
behaviour is checked up to NNNLO yielding the value
\Lambda^{n_f=0}_{\ms}=269(5)^{+12}_{-9}\text{MeV}, and we show that lattice
Green functions satisfy the complete Schwinger-Dyson equation for the ghost
propagator for all considered momenta. The study of the above propagators at
small momenta showed that the infrared divergence of the ghost propagator is
enhanced, whereas the gluon propagator seem to remain finite and non-zero. The
result for the ghost propagator is consistent with the analysis of the
Slavnov-Taylor identity, whereas, according to this analysis, the gluon
propagator should diverge in the infrared, a result at odds with other
approaches.Comment: To appear in the proceedings of the workshop "Hadron Structure and
QCD: from LOW to HIGH energies" (St. Petersburg, Russia, 20-24 September
2005
The Infrared Behaviour of the Pure Yang-Mills Green Functions
We study the infrared behaviour of the pure Yang-Mills correlators using
relations that are well defined in the non-perturbative domain. These are the
Slavnov-Taylor identity for three-gluon vertex and the Schwinger-Dyson equation
for ghost propagator in the Landau gauge. We also use several inputs from
lattice simulations. We show that lattice data are in serious conflict with a
widely spread analytical relation between the gluon and ghost infrared critical
exponents. We conjecture that this is explained by a singular behaviour of the
ghost-ghost-gluon vertex function in the infrared. We show that, anyhow, this
discrepancy is not due to some lattice artefact since lattice Green functions
satisfy the ghost propagator Schwinger-Dyson equation. We also report on a
puzzle concerning the infrared gluon propagator: lattice data seem to favor a
constant non vanishing zero momentum gluon propagator, while the Slavnov-Taylor
identity (complemented with some regularity hypothesis of scalar functions)
implies that it should diverge.Comment: 25 pages, 7 figures; replaced version with some references adde and
an enlarged discussion of the non-renormalization theorem; second replacement
with improved figures and added reference
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