4,655 research outputs found
A picture of the Yang-Mills deconfinement transition and its lattice verification
In the framework of the center vortex picture of confinement, the nature of
the deconfining phase transition is studied. Using recently developed
techniques which allow to associate a center vortex configuration with any
given lattice gauge configuration, it is demonstrated that the confining phase
is a phase in which vortices percolate, whereas the deconfined phase is a phase
in which vortices cease to percolate if one considers an appropriate slice of
space-time.Comment: 9 pages, 3 ps figures included via epsfig; invited talk presented by
M. Engelhardt at the Eleventh International Light-Cone Workshop on "New
directions in Quantum Chromodynamics", Kyungju, Korea, 21.-25.6.99, to appear
in the proceeding
One-dimensional classical adjoint SU(2) Coulomb Gas
The equation of state of a one-dimensional classical nonrelativistic Coulomb
gas of particles in the adjoint representation of SU(2) is given. The problem
is solved both with and without sources in the fundamental representation at
either end of the system. The gas exhibits confining properties at low
densities and temperatures and deconfinement in the limit of high densities and
temperatures. However, there is no phase transition to a regime where the
string tension vanishes identically; true deconfinement only happens for
infinite densities and temperatures. In the low density, low temperature limit,
a new type of collective behavior is observed.Comment: 6 pages, 1 postscript figur
On the spectrum of QCD(1+1) with large numbers of flavours N_F and colours N_C near N_F/N_C = 0
QCD(1+1) in the limit of a large number of flavours N_F and a large number of
colours N_C is examined in the small N_F/N_C regime. Using perturbation theory
in N_F/N_C, stringent results for the leading behaviour of the spectrum
departing from N_F/N_C = 0 are obtained. These results provide benchmarks in
the light of which previous truncated treatments of QCD(1+1) at large N_F and
N_C are critically reconsidered.Comment: 6 revtex page
Magnetic Monopoles, Center Vortices, Confinement and Topology of Gauge Fields
The vortex picture of confinement is studied. The deconfinement phase
transition is explained as a transition from a phase in which vortices
percolate to a phase of small vortices. Lattice results are presented in
support of this scenario. Furthermore the topological properties of magnetic
monopoles and center vortices arising, respectively, in Abelian and center
gauges are studied in continuum Yang-Mills-theory. For this purpose the
continuum analog of the maximum center gauge is constructed.Comment: talk given by H. Reinhardt on the Int. Workshop ``Hadrons 1999'',
Coimbra, 10.-15. Sept. 199
Energy Density of Vortices in the Schroedinger Picture
The one-loop energy density of an infinitely thin static magnetic vortex in
SU(2) Yang-Mills theory is evaluated using the Schroedinger picture. Both the
gluonic fluctuations as well as the quarks in the vortex background are
included. The energy density of the magnetic vortex is discussed as a function
of the magnetic flux. The center vortices correspond to local minima in the
effective potential. These minima are degenerated with the perturbative vacuum
if the fermions are ignored. Inclusion of fermions lifts this degeneracy,
raising the vortex energy above the energy of the perturbative vacuum.Comment: 25 pages, 2 figure
Center vortices of Yang-Mills theory at finite temperatures
Recent lattice calculations performed at zero temperature and in the maximal
center gauge indicate that quark confinement can be understood in this gauge as
due to fluctuations in the number of magnetic vortices piercing a given Wilson
loop. This development has led to a revival of the vortex condensation theory
of confinement. For a SU(2) gauge group, we show that also at finite
temperatures, center vortices are the relevant collective infrared degrees of
freedom determining the long-range static quark potential; in particular, their
dynamics reflect the transition to the deconfining phase.Comment: 14 pages, 6 figures, numerics completely overhauled w.r.t. original
version, physical conclusions unchange
Quantum gauge fixing and vortex dominance
We introduce quantum gauge fixing (QGF) as a new class of gauge fixings.
While the maximal center gauge might not show vortex dominance, the confining
properties of the vortices observed in past lattice calculations are argued to
have been obtained in a gauge more akin to QGF than to the strict maximal
center gauge.Comment: talk presented at LATTICE99(confinement), Pisa, Italy, 3 pages, 2
figures, LaTeX using espcrc2.st
Writhe of center vortices and topological charge -- an explicit example
The manner in which continuum center vortices generate topological charge
density is elucidated using an explicit example. The example vortex
world-surface contains one lone self-intersection point, which contributes a
quantum 1/2 to the topological charge. On the other hand, the surface in
question is orientable and thus must carry global topological charge zero due
to general arguments. Therefore, there must be another contribution, coming
from vortex writhe. The latter is known for the lattice analogue of the example
vortex considered, where it is quite intuitive. For the vortex in the
continuum, including the limit of an infinitely thin vortex, a careful analysis
is performed and it is shown how the contribution to the topological charge
induced by writhe is distributed over the vortex surface.Comment: 33 latex pages, 10 figures incorporating 14 ps files. Furthermore,
the time evolution of the vortex line discussed in this work can be viewed as
a gif movie, available for download by following the PostScript link below --
watch for the cute feature at the self-intersection poin
Vortex critical behavior at the de-confinement phase transition
The de-confinement phase transition in SU(2) Yang-Mills theory is revisited
in the vortex picture. Defining the world sheets of the confining vortices by
maximal center projection, the percolation properties of the vortex lines in
the hypercube consisting of the time axis and two spatial axis are studied.
Using the percolation cumulant, the temperature for the percolation transition
is seen to be in good agreement with the critical temperature of the thermal
transition. The finite size scaling function for the cumulant is obtained. The
critical index of the finite size scaling function is consistent with the index
of the 3D Ising model.Comment: 4 pages, 4 PS figures, using revtex4, paragraph and refs added, typo
correcte
Center vortex properties in the Laplace center gauge of SU(2) Yang-Mills theory
Resorting to the the Laplace center gauge (LCG) and to the Maximal-center
gauge (MCG), respectively, confining vortices are defined by center projection
in either case. Vortex properties are investigated in the continuum limit of
SU(2) lattice gauge theory. The vortex (area) density and the density of vortex
crossing points are investigated. In the case of MCG, both densities are
physical quantities in the continuum limit. By contrast, in the LCG the
piercing as well as the crossing points lie dense in the continuum limit. In
both cases, an approximate treatment by means of a weakly interacting vortex
gas is not appropriate.Comment: reference added, submitted to Phys. Lett.
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