4,180 research outputs found
Confining strings in the Abelian-projected SU(3)-gluodynamics II. 4D-case with -term
The generalization of 4D confining string theory to the SU(3)-inspired case
is derived. It describes string representation of the Wilson loop in the
SU(3)-analogue of compact QED extended by the -term. It is shown that
although the obtained theory of confining strings differs from that of compact
QED, their low-energy limits have the same functional form. This fact leads to
the appearance of the string -term in the low-energy limit of the
SU(3)-inspired confining string theory. In particular, it is shown that in the
extreme strong coupling regime, the crumpling of string world sheets could
disappear owing to the string -term at . Finally, some
characteristic features of the SU(N)-case are pointed out.Comment: 8 pages, LaTeX2e, no figures, to appear in Europhys. Letter
Condensation of vortices and disorder parameter in 3d Heisenberg model
The 3d Heisenberg model is studied from a dual point of view. It is shown
that the disordered phase corresponds to condensation of vortices in the
vacuum, and the critical indices are computed from the corresponding disorder
parameter.Comment: LATTICE98(spin
String breaking in QCD: dual superconductor vs. stochastic vacuum model
Effects of dispersion of the chromoelectric field of the flux tube on the
string-breaking distance are studied. The leading-order correction is shown to
slightly diminish the result following from the Schwinger formula. Instead,
accounting for corrections of all orders might result, at certain values of the
Landau-Ginzburg parameter, in an increase of the string-breaking distance up to
one order of magnitude. An alternative formula for this distance is obtained
when produced pairs are treated as holes in a confining pellicle, which spans
over the contour of an external quark-antiquark pair. Generalizations of the
obtained results to the cases of small temperatures, as well as temperatures
close to the critical one are also discussed.Comment: 21 pages, no figures, uses JHEP3.cl
A dual view of the 3d Heisenberg model and the abelian projection
The Heisenberg model in 3d is studied from a dual point of view. It is shown
that it can have vortex configurations, carrying a conserved charge(U(1)
symmetry). Vortices condens in the disordered phase. A disorder parameter
\leftangle\mu\rightangle is defined dual to the magnetization \leftangle\vec
n\rightangle, which signals condensation of vortices, i.e. spontaneous
breaking of the dual U(1) symmetry. This study sheds light on the procedure
known as abelian projection in non abelian gauge theories.Comment: LateX, 15 pages, 3 figure
Confining Strings in the Abelian-Projected SU(3)-Gluodynamics
String representation of the Wilson loop in 3D Abelian-projected
SU(3)-gluodynamics is constructed in the approximation that Abelian-projected
monopoles form a gas. Such an assumption is much weaker than the standard one,
demanding the monopole condensation. It is demonstrated that the summation over
world sheets, bounded by the contour of the Wilson loop, is realized by the
summation over branches of a certain effective multivalued potential of the
monopole densities. Finally, by virtue of the so-constructed representation of
the Wilson loop in terms of the monopole densities, this quantity is evaluated
in the approximation of a dilute monopole gas, which makes confinement in the
model under study manifest.Comment: 7 pages, new results are adde
Gauge-invariant quark-antiquark nonlocal condensates in lattice QCD
We study, by numerical simulations on a lattice, the behaviour of the
gauge-invariant quark-antiquark nonlocal condensates in the QCD vacuum with
dynamical fermions. A determination is also done in the quenched approximation
and the results are compared with the full-QCD case. The fermionic correlation
length is extracted and compared with the analogous gluonic quantity.Comment: 14 pages, LaTeX file, + 6 PS figure
Confining Properties of Abelian-Projected Theories and Field Strength Correlators
We review the string representations of Abelian-projected SU(2)- and
SU(3)-gauge theories and their application to the evaluation of bilocal field
strength correlators. The large distance asymptotic behaviours of the latter
ones are shown to be in agreement with the Stochastic Vacuum Model of QCD and
existing lattice data.Comment: Invited talk given at the Euroconference ``QCD 99'', 7-13th July
1999, Montpellier (France), to appear in Nucl. Phys. B (Proc. Suppl.
Topological susceptibility in Yang-Mills theory in the vacuum correlator method
We calculate the topological susceptibility of the Yang-Mills vacuum using
the field correlator method. Our estimate for the SU(3) gauge group, \chi^{1/4}
= 196(7) MeV, is in a very good agreement with the results of recent numerical
simulations of the Yang-Mills theory on the lattice.Comment: 5 pages (JETP Letters style
Triangular and Y-shaped hadrons with static sources
The structure of hadrons consisting of three static color sources in
fundamental (baryons) or adjoint (three-gluon glueballs) representations is
studied. The static potentials of glueballs as well as gluon field
distributions in glueballs and baryons are calculated in the framework of field
correlator method.Comment: 7 pages, 5 figures, talk at the NPD-2002 Conference, December 2-6,
ITEP, Moscow, reference adde
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