7 research outputs found
Infrared behavior and Gribov ambiguity in SU(2) lattice gauge theory
For SU(2) lattice gauge theory we study numerically the infrared behavior of
the Landau gauge ghost and gluon propagators with the special accent on the
Gribov copy dependence. Applying a very efficient gauge fixing procedure and
generating up to 80 gauge copies we find that the Gribov copy effect for both
propagators is essential in the infrared. In particular, our best copy dressing
function of the ghost propagator approaches a plateau in the infrared, while
for the random first copy it still grows. Our best copy zero-momentum gluon
propagator shows a tendency to decrease with growing lattice size which
excludes singular solutions. Our results look compatible with the so-called
decoupling solution with a non-singular gluon propagator. However, we do not
yet consider the Gribov copy problem to be finally resolved.Comment: 9 pages, 9 figure
Running Gluon Mass from Landau Gauge Lattice QCD Propagator
The interpretation of the Landau gauge lattice gluon propagator as a massive
type bosonic propagator is investigated. Three different scenarios are
discussed: i) an infrared constant gluon mass; ii) an ultraviolet constant
gluon mass; iii) a momentum dependent mass. We find that the infrared data can
be associated with a massive propagator up to momenta MeV, with a
constant gluon mass of 723(11) MeV, if one excludes the zero momentum gluon
propagator from the analysis, or 648(7) MeV, if the zero momentum gluon
propagator is included in the data sets. The ultraviolet lattice data is not
compatible with a massive type propagator with a constant mass. The scenario of
a momentum dependent gluon mass gives a decreasing mass with the momentum,
which vanishes in the deep ultraviolet region. Furthermore, we show that the
functional forms used to describe the decoupling like solution of the
Dyson-Schwinger equations are compatible with the lattice data with similar
mass scales.Comment: Version to appear in J. Phys. G. New version include some rewriting
and new analysis. In particular, the section on the running mass is ne
Vacuum Energy Density in the Quantum Yang - Mills Theory
Using the effective potential approach for composite operators, we have
formulated a general method of calculation of the truly non-perturbative
Yang-Mills vacuum energy density (this is, by definition, the Bag constant
apart from the sign). It is the main dynamical characteristic of the QCD ground
state. Our method allows one to make it free of the perturbative contributions
('contaminations'), by construction. We also perform an actual numerical
calculation of the Bag constant for the confining effective charge. Its choice
uniquely defines the Bag constant, which becomes free of all the types of the
perturbative contributions now, as well as possessing many other desirable
properties as colorless, gauge independence, etc. Using further the trace
anomaly relation, we develop a general formalism which makes it possible to
relate the Bag constant to the gluon condensate not using the weak coupling
solution for the corresponding function. Our numerical result for the
Bag constant shows a good agreement with other phenomenological estimates of
the gluon condensate.Comment: 28 pages and 4 figures, typos corrected, added new appendices and new
references in comparison with the published versio