111 research outputs found
Exploring correlations in the stochastic Yang-Mills vacuum
The correlation lengths of nonperturbative-nonconfining and confining
stochastic background Yang-Mills fields are obtained by means of a direct
analytic path-integral evaluation of the Green functions of the so-called one-
and two-gluon gluelumps. Numerically, these lengths turn out to be in a good
agreement with those known from the earlier, Hamiltonian, treatment of such
Green functions. It is also demonstrated that the correlation function of
nonperturbative-nonconfining fields decreases with the deviation of the path in
this correlation function from the straight-line one.Comment: 14 pages, 3 figures; an Appendix is included, which addresses the
path-dependence of the correlation function; version to appear in Phys. Lett.
Monopole potential and confining strings in the (2+1)-dimensional Georgi-Glashow model
Confining strings are investigated in the (2+1)D Georgi-Glashow model. This
is done in the limit when the electric coupling constant is much larger than
the square root of the mass of the Higgs field, but much smaller than the
vacuum expectation value of this field. The modification of the Debye mass of
the dual photon with respect to the case when it is considered to be negligibly
small compared to the Higgs mass, is found. Analogous modifications of the
potential of monopole densities and string coupling constants are found as
well.Comment: Talk given at the 6th Workshop on Nonperturbative QCD, Paris, France,
June 5th-9th, 2001; 6 pages, LaTeX2e, uses ws-p8-50x6-00.cls, no figure
Confining strings and RG flow in the (2+1)-dimensional Georgi-Glashow model and its SU(3)-generalization
Confining strings and RG flow at finite temperature are investigated in the
(2+1)-dimensional Georgi-Glashow model. This is done in the limit when the
electric coupling constant is much larger than the square root of mass of the
Higgs field, but much smaller than the vacuum expectation value of this field.
The modification of the Debye mass of the dual photon with respect to the case
when it is considered to be negligibly small compared to the Higgs mass, is
found. Analogous modifications of the potential of monopole densities and
string coupling constants are found. At finite temperature, the mass of the
Higgs field scales according to a novel RG equation. It is checked that in the
limit when the original theory is reduced by the RG flow to the 2D XY model,
the so-evolved Higgs mass is still much smaller than the squared electric
coupling constant. The SU(3)-theory of confining strings is also discussed
within the same approximations.Comment: 14 pages, LaTeX2e, no figures, to appear in JHE
Confining Properties of Abelian(-Projected) Theories
Representations of the Abelian-projected SU(2)- and SU(3)-gluodynamics in
terms of the magnetic monopole currents are derived. Besides the quadratic
part, the obtained effective actions contain interactions of these currents
with the world-sheets of electric strings in 4D or electric vortex lines in 3D.
Next, we illustrate that 3D compact QED is a small gauge boson mass limit of 3D
Abelian Higgs model with external monopoles and give a physical interpretation
to the confining string theory as the integral over the monopole densities.
Finally, we derive the bilocal field strength correlator in the weak-field
limit of 3D compact QED, which turns out to be in line with the one predicted
by the Stochastic Vacuum Model.Comment: 18 pages, LaTeX2e, no figure
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