1,189 research outputs found
Gribov Copies in the Maximally Abelian Gauge and Confinement
We fix lattice gauge fields to the Maximally Abelian gauge in both
three and four dimensions. We extract the corresponding fields and
monopole current densities and calculate separately the confining string
tensions arising from these fields and monopole `condensates'. We
generate multiple Gribov copies and study how the fields and monopole
distributions vary between these different copies. As expected, we find
substantial variations in the number of monopoles, their locations and in the
values of the field strengths. The string tensions extracted from
`extreme' Gribov copies also differ but this difference appears to be no more
than about 20\%. We also directly compare the fields of different Gribov
copies. We find that on the distance scales relevant to confinement the
and monopole fluxes that disorder Wilson loops are highly correlated between
these different Gribov copies. All this suggests that while there is indeed a
Gribov copy problem the resulting ambiguity is, in this gauge and for the study
of confinement, of limited importance.Comment: 31 pages LaTeX plus 5 PostScript figures. Uses epsf.sty.
Self-unpacking, uuencoded tar-compressed fil
Large Loops of Magnetic Current and Confinement in Four Dimensional Lattice Gauge Theory
We calculate the heavy quark potential from the magnetic current due to
monopoles in four dimensional lattice gauge theory. The magnetic current
is found from link angle configurations using the DeGrand-Toussaint
identification method. The link angle configurations are generated in a cosine
action simulation on a lattice. The magnetic current is resolved into
large loops which wrap around the lattice and simple loops which do not.
Wrapping loops are found only in the confined phase. It is shown that the long
range part of the heavy quark potential, in particular the string tension, can
be calculated solely from the large, wrapping loops of magnetic current.Comment: 15 pages (Latex file plus 3 postscript files appended), Univeristy of
Illinois Preprint ILL-(TH)-93-\#1
String Tension from Monopoles in SU(2) Lattice Gauge Theory
The axis for Figure 2 was wrong. It has been fixed and the postscript file
replaced (The file was called comp.ps).Comment: (22 pages latex (revtex); 2 figures appended as postscript files -
search for mono.ps and comp.ps. Figures mailed on request--send a note to
[email protected]) Preprint ILL-(TH)-94-#1
On projection (in)dependence of monopole condensate in lattice SU(2) gauge theory
We study the temperature dependence of the monopole condensate in different
Abelian projections of the SU(2) lattice gauge theory. Using the
Frohlich-Marchetti monopole creation operator we show numerically that the
monopole condensate depends on the choice of the Abelian projection. Contrary
to the claims in the current literature we observe that in the Abelian Polyakov
gauge and in the field strength gauge the monopole condensate does not vanish
at the critical temperature and thus is not an order parameter.Comment: 9 pages, 7 figure
Monopole clusters, Z(2) vortices and confinement in SU(2)
We extend our previous study of magnetic monopole currents in the maximally
Abelian gauge [hep-lat/9712003] to larger lattices at small lattice spacings
(20^4 at beta = 2.5 and 32^4 at beta = 2.5115). We confirm that at these weak
couplings there continues to be one monopole cluster that is very much longer
than the rest and that the string tension, K, is entirely due to it. The
remaining clusters are compact objects whose population as a function of radius
follows a power law that deviates from the scale invariant form, but much too
weakly to suggest a link with the analytically calculable size distribution of
small instantons. We also search for traces of Z(2) vortices in the Abelian
projected fields; either as closed loops of `magnetic' flux or through
appropriate correlations amongst the monopoles. We find, by direct calculation,
that there is no confining condensate of such flux loops. We also find, through
the calculation of doubly charged Wilson loops within the monopole fields, that
there is no suppression of the q=2 effective string tension out to at distances
of at least r ~ 1.6/sqrt{K}, suggesting that if there are any vortices they are
not encoded in the monopole fields.Comment: 26 pages of LaTeX and PostScript figure
Reliability of Mainstream Tablets for 2D Analysis of a Drop Jump Landing
Please refer to the pdf version of the abstract located adjacent to the title
Abelian Monopoles in SU(2) Lattice Gauge Theory as Physical Objects
By numerical calculations we show that the abelian monopole currents are
locally correlated with the density of SU(2) lattice action. The correlations
are larger by the order of magnitude in the maximal abelian projection than in
the projections which correspond to the diagonalization of Polyakov line and to
the diagonalization of the plaquette. These facts show that (at least) in the
maximal abelian projection the monopoles are the physical objects, they carry
the SU(2) action. The larger value of \beta, the larger the relative action
carried by monopole. Calculations on the asymmetric lattice show that this
correlation exists also in the deconfinement phase of gluodynamics.Comment: 6 pages, RevTeX, 3 figures, uses epsf.sty; to be published in
Phys.Rev.Lett., replaced to match version accepted for publicatio
The potassic sedimentary rocks in Gale Crater, Mars, as seen by ChemCam on board Curiosity
The Mars Science Laboratory rover Curiosity encountered potassium-rich clastic sedimentary rocks at two sites in Gale Crater, the waypoints Cooperstown and Kimberley. These rocks include several distinct meters thick sedimentary outcrops ranging from fine sandstone to conglomerate, interpreted to record an ancient fluvial or fluvio-deltaic depositional system. From ChemCam Laser-Induced Breakdown Spectroscopy (LIBS) chemical analyses, this suite of sedimentary rocks has an overall mean K2O abundance that is more than 5 times higher than that of the average Martian crust. The combined analysis of ChemCam data with stratigraphic and geographic locations reveals that the mean K2O abundance increases upward through the stratigraphic section. Chemical analyses across each unit can be represented as mixtures of several distinct chemical components, i.e., mineral phases, including K-bearing minerals, mafic silicates, Fe-oxides, and Fe-hydroxide/oxyhydroxides. Possible K-bearing minerals include alkali feldspar (including anorthoclase and sanidine) and K-bearing phyllosilicate such as illite. Mixtures of different source rocks, including a potassium-rich rock located on the rim and walls of Gale Crater, are the likely origin of observed chemical variations within each unit. Physical sorting may have also played a role in the enrichment in K in the Kimberley formation. The occurrence of these potassic sedimentary rocks provides additional evidence for the chemical diversity of the crust exposed at Gale Crater
Domain walls and perturbation theory in high temperature gauge theory: SU(2) in 2+1 dimensions
We study the detailed properties of Z_2 domain walls in the deconfined high
temperature phase of the d=2+1 SU(2) gauge theory. These walls are studied both
by computer simulations of the lattice theory and by one-loop perturbative
calculations. The latter are carried out both in the continuum and on the
lattice. We find that leading order perturbation theory reproduces the detailed
properties of these domain walls remarkably accurately even at temperatures
where the effective dimensionless expansion parameter, g^2/T, is close to
unity. The quantities studied include the surface tension, the action density
profiles, roughening and the electric screening mass. It is only for the last
quantity that we find an exception to the precocious success of perturbation
theory. All this shows that, despite the presence of infrared divergences at
higher orders, high-T perturbation theory can be an accurate calculational
tool.Comment: 75 pages, LaTeX, 14 figure
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