14,919 research outputs found
Properties of Color-Coulomb String Tension
We study the properties of the color-Coulomb string tension obtained from the
instantaneous part of gluon propagators in Coulomb gauge using quenched SU(3)
lattice simulation.
In the confinement phase, the dependence of the color-Coulomb string tension
on the QCD coupling constant is smaller than that of the Wilson loop string
tension. On the other hand, in the deconfinement phase, the color-Coulomb
string tension does not vanish even for , the temperature
dependence of which is comparable with the magnetic scaling, dominating the
high temperature QCD. Thus, the color-Coulomb string tension is not an order
parameter of QGP phase transition.Comment: 17 pages, 5 figures; one new figure added, typos corrected, version
to appear in PR
Spatial string tension revisited
The spatial string tension, a classic non-perturbative probe for the
convergence of the weak-coupling expansion at high temperatures, can be
determined in full QCD as well as in a dimensionally reduced effective theory.
Comparing both approaches, we find surprisingly good agreement almost down to
the critical temperature of the deconfinement phase transition.Comment: 6 pages, 2 figures, talk given at Lattice 2005 (nonzero temperature
and density
The QCD string tension curve, the ferromagnetic magnetization, and the quark-antiquark confining potential at finite Temperature
We study the string tension as a function of temperature, fitting the SU(3)
lattice QCD finite temperature free energy potentials computed by the Bielefeld
group. We compare the string tension points with order parameter curves of
ferromagnets, superconductors or string models, all related to confinement. We
also compare the SU(3) string tension with the one of SU(2) Lattice QCD. With
the curve providing the best fit to the finite temperature string tensions, the
spontaneous magnetization curve, we then show how to include finite
temperature, in the state of the art confining and chiral invariant quark
models.Comment: 9 pages, 12 figure
Some remarks on Abelian dominance
We use a renormalisation group based smoothing to address two questions
related to Abelian dominance. Smoothing enables us to extract the Abelian
heavy-quark potential from time-like Wilson loops on Polyakov gauge projected
configurations. We obtained a very small string tension which is inconsistent
with the string tension extracted from Polyakov loop correlators. This shows
that the Polyakov gauge projected Abelian configurations do not have a
consistent physical meaning. We also apply the smoothing on SU(2)
configurations to test how sensitive Abelian dominance in the maximal Abelian
gauge is to the short distance fluctuations. We find that on smoothed SU(2)
configurations the Abelian string tension was about 30% smaller than the SU(2)
string tension which was unaffected by smoothing. This suggests that the
approximate Abelian dominance found with the Wilson action is probably an
accident and it has no fundamental physical relevance.Comment: 3 pages, LaTeX, 1 figure, uses espcrc2.sty, Talk given at LATTICE9
Magnetic monopole clusters, and monopole dominance after smoothing in the maximally Abelian gauge of SU(2)
In the maximally Abelian gauge of SU(2), the clusters of monopole current are
found to divide into two distinct classes. The largest cluster permeates the
lattice, has a density that scales and produces the string tension. The
remaining clusters possess an approximate 1/l^3 number density distribution (l
is the cluster length), their radii vary as \sqrt l and their total current
density does not scale. Their contribution to the string tension is compatible
with being exactly zero. Their number density can be thought of as arising from
an underlying scale invariant distribution. This suggests that they are not
related to instantons. We also observe that when we locally smoothen the SU(2)
fields by cooling, the string tension due to monopoles becomes much smaller
than the SU(2) string tension. This dramatic loss of Abelian/monopole dominance
occurs even after just one cooling step.Comment: Talk presented at LATTICE97(topology). LaTeX, with 4 PS figure
P-vortices and Drama of Gribov Copies
We present results of the careful study of the Gribov copies problem in SU(2)
lattice gauge theory for the direct maximal center projection widely used in
confinement studies. Applying simulated annealing algorithm we demonstrate that
this problem is more severe than it was thought before. The projected (gauge
noninvariant) string tension is not in the agreement with the physical string
tension. We do not find any indications that P-vortices reproduce the full
SU(2) string tension neither in the infinite volume limit nor in the continuum
limit.Comment: 16 pages, 7 figures, Latex2e, typos correcte
Spatial string tension in lattice QCD at finite temperature
The spatial string tension across a crossover from the low temperature phase
to the high temperature phase is computed in QCD with two flavors of
non-perturbatively improved Wilson fermions at small lattice spacing a \sim
0.12fm. We find that in the low temperature phase spatial string tension agrees
well with zero temperature string tension. Furthermore, it does not show
increasing for temperatures up to T = 1.36 T_{pc}, the highest temperature
considered. Our results agree with some theoretical predictions.Comment: 8 pages, 2 figures, numerical results and both figures slightly
changed, comparison with theoretical predictions added, values of the ratio
T/T_{pc} slightly change
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