446 research outputs found
On Dirac sheet configurations of SU(2) lattice fields
Finite temperature Euclidean SU(2) lattice gauge fields close to the
deconfinement phase transition are subjected to cooling. We find relatively
stable or absolutely stable configurations with an action below the
one-instanton action both in the deconfinement and the
confinement phases. In this paper we attempt an interpretation of these lowest
action configurations. Their action is purely magnetic and amounts to
, where () is the timelike (spacelike)
lattice size, while the topological charge vanishes. In the confined phase part
of the corresponding lattice configurations turns out to be absolutely stable
with respect to the cooling process in which case Abelian projection reveals a
homogeneous, purely Abelian magnetic field closed over the "boundary" in one of
the spatial directions. Referring to the dyonic structure established for the
confinement phase near and based on the observation made for this phase
that such events below the instanton action emerge from
dyon-antidyon annihilation, the question of stability (metastability) is
discussed for both phases. The hypothetically different dyonic structure of the
deconfinement phase, inaccessible by cooling, could explain the metastability.Comment: 14 pages, 7 figure
Topology without cooling: instantons and monopoles near to deconfinement
In an attempt to describe the change of topological structure of pure SU(2)
gauge theory near deconfinement a renormalization group inspired method is
tested. Instead of cooling, blocking and subsequent inverse blocking is applied
to Monte Carlo configurations to capture topological features at a well-defined
scale. We check that this procedure largely conserves long range physics like
string tension. UV fluctuations and lattice artefacts are removed which
otherwise spoil topological charge density and Abelian monopole currents. We
report the behaviour of topological susceptibility and monopole current
densities across the deconfinement transition and relate the two faces of
topology to each other. First results of a cluster analysis are described.Comment: 6 pages, 8 figures, LaTeX with espcrc2.sty. Talk and poster presented
at Lattice97, Edinburgh, 22-26 July 1997, to appear in Nucl. Phys. B
(Proc.Suppl.
Confinement, deconfinement and the photon propagator in 3D cQED on the lattice
We report on a lattice study of the gauge boson propagator of 3D compact QED
in Landau gauge at zero and finite temperature. Non-perturbative effects are
reflected by the generation of a mass m and by an anomalous dimension alpha.
These effects can be attributed to monopoles and are absent in the propagator
of the regular part of the gauge field.Comment: 3 pages, 4 figures, talk presented by A.S. at 5th International
Conference on Quark Confinement and the Hadron Spectrum, Gargnano, Italy,
10-14 Sep 200
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