18 research outputs found
A phase transition due to thick vortices in SU(2) lattice gauge theory
SU(2) lattice gauge theory is studied after eliminating thin monopoles and
the smallest thick monopoles. Kinematically this constraint allows thick vortex
loops which produce long range Z(2) fluctuations. The thick vortex loops are
identified in a three dimensional simulation. A condensate of thick vortices
persists even after the thin vortices have all disappeared. They decouple at a
slightly lower temperature (higher ) than the thin vortices and drive a
Z(2) like phase transition.Comment: 3 pages, 3 figures (ps), Lattice 2002(Topology
Dual Abrikosov vortex between confined charges
We show that the dual Abrikosov vortex between quark and antiquark in Abelian
Projected SU(2) gauge theory is insensitive to truncation of all loops except
the large monopole cluster noted by Hart and Teper. As the transverse distance
increases, the discrepancy decreases, suggesting that the London penetration
depth determined by the tail is invariant under the truncation of short loops.Comment: Latex, tar-compressed file, two figures, Lattice 2002 contributed
tal
Axial anomaly and Ginsparg-Wilson fermions in the Lattice Dirac Sea picture
The axial anomaly equation in 1+1 dimensional QED is obtained on the lattice
for fermions obeying the Ginsparg-Wilson relation. We make use of the
properties of the Lattice Dirac sea to investigate the connection between the
anomaly and the Ginsparg-Wilson operator in the Hamiltonian picture. The
correct anomaly is reproduced for gauge fields whose characteristic time is
much larger than the lattice spacing, which is the regime where the adiabatic
approximation applies. A non-zero Wilson parameter is necessary to get the
correct anomaly. The anomaly is shown to be independent of for . The
generalization to 3+1 dimensions is also discussed.Comment: 19 pages latex,12 figures; manuscript revised, references adde
Dual variables for the SU(2) lattice gauge theory at finite temperature
We study the three-dimensional SU(2) lattice gauge theory at finite
temperature using an observable which is dual to the Wilson line. This
observable displays a behaviour which is the reverse of that seen for the
Wilson line. It is non-zero in the confined phase and becomes zero in the
deconfined phase. At large distances, it's correlation function falls off
exponentially in the deconfined phase and remains non-zero in the confined
phase. The dual variable is non-local and has a string attached to it which
creates a Z(2) interface in the system. It's correlation function measures the
string tension between oppositely oriented Z(2) domains. The construction of
this variable can also be made in the four-dimensional theory where it measures
the surface tension between oppositely oriented Z(2) domains.Comment: 13 pages, LaTeX, 4 figures are included in the latex fil
A lattice model with a theta term in three dimensions
We study a three-dimensional abelian lattice model in which the analogue of a
theta term can be defined. This term is defined by introducing a neutral scalar
field and its effect is to couple magnetic monopoles to the scalar field and
vortices to the gauge field. An interesting feature of this model is the
presence of an exact duality symmetry that acts on a three parameter space. It
is shown that this model has an interesting phase structure for non-zero values
of theta. In addition to the usual confinement and vortex phases there are
phases in which loops with composite charges condense. The presence of novel
point like excitations also alters the physical properties of the system.Comment: 32 pages in latex and three figure