5,003 research outputs found
Ultraviolet Behavior of the Gluon Propagator in the Maximal Abelian Gauge
The ultraviolet asymptotic behavior of the gluon propagator is evaluated in
the maximal Abelian gauge in the SU(2) gauge theory on the basis of the
renormalization-group improved perturbation theory at the one-loop level.
Square-root singularities obtained in the Euclidean domain are attributed to
artifacts of the one-loop approximation in the maximal Abelian gauge and the
standard normalization condition for the propagator used in our study. It is
argued that this gauge is essentially nonperturbative.Comment: 15 pages, 2 figure
The role of symmetry in driven propulsion at low Reynolds number
We theoretically and experimentally investigate low-Reynolds-number
propulsion of geometrically achiral planar objects that possess a dipole moment
and that are driven by a rotating magnetic field. Symmetry considerations
(involving parity, , and charge conjugation, )
establish correspondence between propulsive states depending on orientation of
the dipolar moment. Although basic symmetry arguments do not forbid individual
symmetric objects to efficiently propel due to spontaneous symmetry breaking,
they suggest that the average ensemble velocity vanishes. Some additional
arguments show, however, that highly symmetrical (-even) objects
exhibit no net propulsion while individual less symmetrical
(-even) propellers do propel. Particular magnetization
orientation, rendering the shape -odd, yields
unidirectional motion typically associated with chiral structures, such as
helices. If instead of a structure with a permanent dipole we consider a
polarizable object, some of the arguments have to be modified. For instance, we
demonstrate a truly achiral (- and -even)
planar shape with an induced electric dipole that can propel by
electro-rotation. We thereby show that chirality is not essential for
propulsion due to rotation-translation coupling at low Reynolds number.Comment: 5 pages, 5 figure
Anomalous Diffusion at Edge and Core of a Magnetized Cold Plasma
Progress in the theory of anomalous diffusion in weakly turbulent cold
magnetized plasmas is explained. Several proposed models advanced in the
literature are discussed. Emphasis is put on a new proposed mechanism for
anomalous diffusion transport mechanism based on the coupled action of
conductive walls (excluding electrodes) bounding the plasma drain current (edge
diffusion) together with the magnetic field flux "cutting" the area traced by
the charged particles in their orbital motion. The same reasoning is shown to
apply to the plasma core anomalous diffusion. The proposed mechanism is
expected to be valid in regimes when plasma diffusion scales as Bohm diffusion
and at high , when collisions are of secondary importance.Comment: 9 pages, 4 figure
On the interrelation between monopoles, vortices, topological charge and chiral symmetry breaking: an analysis using overlap fermions for SU(2)
We study the properties of configurations from which P-vortices on one hand
or Abelian monopoles on the other hand have been removed. We find that the zero
modes and the band of non-zero modes close to zero disappear from the spectrum
of the overlap Dirac operator, confirming the absence of topological charge and
quark condensate. The different behavior of the modified ensembles under
smearing compared to the unmodified Monte Carlo ensemble corroborates these
findings. The gluonic topological susceptibility rapidly approaches zero in
accordance with Q_{index}=0. The remaining (ultraviolet) monopoles without
vortices and -- to a less extent -- the remaining vortices without monopoles
are unstable under smearing whereas smearing of the unmodified Monte Carlo
ensemble effects the monopoles and vortices only by smoothing, reducing the
density only slightly.Comment: 13 pages, 5 figures, strongly revised, results added, one figure
added, accepted for publication, title changed
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