261 research outputs found

### Model independent approach to studies of the confining dual Abrikosov vortex in SU(2) lattice gauge theory

We address the problem of determining the type I, type II or borderline dual
superconductor behavior in maximal Abelian gauge SU(2) through the study of the
dual Abrikosov vortex. We find that significant electric currents in the
simulation data call into question the use of the dual Ginzburg Landau Higgs
model in interpreting the data. Further, two definitions of the penetration
depth parameter take two different values. The splitting of this parameter into
two is intricately connected to the existence of electric currents. It is
important in our approach that we employ definitions of flux and electric and
magnetic currents that respect Maxwell equations exactly for lattice averages
independent of lattice spacings. Applied to specific Wilson loop sizes, our
conclusions differ from those that use the dual GLH model.Comment: 18 pages, 14 figures, change title, new anaylysis with more figure

### Distribution of the color fields around static quarks: Flux tube profiles

We report detailed calculations of the profiles of energy and action
densities in the quark-antiquark string in SU(2) lattice gauge theory.Comment: 40 pages, LSUHE 94-15

### Color flux distribution on the lattice

We describe the work by the Cracow-LSU collaboration on Chromoelectric and chromomagnetic flux distributions around the static charges. We find that large cancellations between electric and magnetic energy density lead to a narrow flux tube

### Flux-tubes in three-dimensional lattice gauge theories

Flux-tubes in different representations of SU(2) and U(1) lattice gauge
theories in three dimensions are measured. Wilson loops generate heavy
``quark-antiquark'' pairs in fundamental ($j=1/2$), adjoint ($j=1$), and
quartet ($j=3/2$) representations of SU(2). The first direct lattice
measurements of the flux-tube cross-section ${\cal A}_j$ as a function of
representation are made. It is found that ${\cal A}_j \approx {\rm constant}$,
to about 10\%. Results are consistent with a connection between the string
tension $\sigma_j$ and ${\cal A}_j$ suggested by a simplified flux-tube model,
$\sigma_j = g^2 j(j+1) / (2 {\cal A}_j)$ [$g$ is the gauge coupling], given
that $\sigma_j$ scales like the Casimir $j(j+1)$, as observed in previous
lattice studies in both three and four dimensions. The results can discriminate
among phenomenological models of the physics underlying confinement. Flux-tubes
for singly- and doubly-charged Wilson loops in compact QED$_3$ are also
measured. It is found that the string tension scales as the squared-charge and
the flux-tube cross-section is independent of charge to good approximation.
These SU(2) and U(1) simulations lend some support, albeit indirectly, to a
conjecture that the dual superconductor mechanism underlies confinement in
compact gauge theories in both three and four dimensions.Comment: 15 pages (REVTEX 2.1). Figures: 11, not included (available by
request from [email protected] by regular mail, postscript files, or one
self-unpacking uuencoded file

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