270 research outputs found
Interest Points as a Focus Measure in Multi-Spectral Imaging
A novel multi-spectral focus measure that is based on algorithms for interest point detection, particularly on the FAST (Features from Accelerated Segment Test), Fast Hessian and Harris-Laplace detector, is described in this paper. The proposed measure methods are compared with commonly used focus measure techniques like energy of image gradient, sum-modified Laplacian, Tenenbaum's algorithm or spatial frequency when testing their reliability and performance. The measures have been tested on a newly created database containing 420 images acquired in visible, near-infrared and thermal spectrum (7 objects in each spectrum). Algorithms based on the interest point detectors proved to be good focus measures satisfying all the requirements described in the paper, especially in thermal spectrum. It is shown that these algorithms outperformed all commonly used methods in thermal spectrum and therefore can serve as a new and more accurate focus measure
Infrared Gluon and Ghost Propagators from Lattice QCD. Results from large asymmetric lattices
We report on the infrared limit of the quenched lattice Landau gauge gluon
and ghost propagators as well as the strong coupling constant computed from
large asymmetric lattices. The infrared lattice propagators are compared with
the pure power law solutions from Dyson-Schwinger equations (DSE). For the
gluon propagator, the lattice data is compatible with the DSE solution. The
preferred measured gluon exponent being , favouring a null zero
momentum propagator. The lattice ghost propagator shows finite volume effects
and, for the volumes considered, the propagator does not follow a pure power
law. Furthermore, the strong coupling constant is computed and its infrared
behaviour investigated.Comment: Talk given at QNP06; final version with improved english, accepted
for publication at EPJ
Infrared exponents and the strong-coupling limit in lattice Landau gauge
We study the gluon and ghost propagators of lattice Landau gauge in the
strong-coupling limit beta=0 in pure SU(2) lattice gauge theory to find
evidence of the conformal infrared behavior of these propagators as predicted
by a variety of functional continuum methods for asymptotically small momenta
. In the strong-coupling limit, this same
behavior is obtained for the larger values of a^2q^2 (in units of the lattice
spacing a), where it is otherwise swamped by the gauge field dynamics.
Deviations for a^2q^2 < 1 are well parameterized by a transverse gluon mass
. Perhaps unexpectedly, these deviations are thus no finite-volume
effect but persist in the infinite-volume limit. They furthermore depend on the
definition of gauge fields on the lattice, while the asymptotic conformal
behavior does not. We also comment on a misinterpretation of our results by
Cucchieri and Mendes in Phys. Rev. D81 (2010) 016005.Comment: 17 pages, 12 figures. Revised version (mainly sections I and II);
references and comments on subsequent work on the subject added
Numerical Study of the Chiral Separation Effect in Two-Color QCD at Finite Density
We study the Chiral Separation Effect (CSE) in finite-density SU(2) lattice
gauge theory with dynamical fermions. We find that the strength of the CSE is
close to that for free quarks in most regions of the phase diagram, including
the high-temperature quark-gluon plasma phase, the low-temperature phase with
spontaneously broken chiral symmetry, and the diquark condensation phase which
is specific for the SU(2) gauge theory. The CSE is significantly suppressed
only at low temperatures and low densities, where the chemical potential is
roughly less than half of the pion mass. This suppression can be approximately
described by assuming that the CSE current is proportional to the charge
density, rather than to the chemical potential, as suggested in the literature
[PRD 97 (2018) 085020, ArXiv:1712.01256]. We also provide an upper bound on the
contribution of disconnected fermionic diagrams to the CSE, which is consistent
with zero within our statistical errors and small compared to that of the
connected diagrams.Comment: 9 pages RevTeX, 6 figure
Analytic structure of the gluon and quark propagators in Landau gauge QCD
In Landau gauge QCD the infrared behavior of the propagator of transverse
gluons can be analytically determined to be a power law from Dyson-Schwinger
equations. This propagator clearly shows positivity violation, indicating the
absence of the transverse gluons from the physical spectrum, i.e. gluon
confinement. A simple analytic structure for the gluon propagator is proposed
capturing all important features. We provide arguments that the Landau gauge
quark propagator possesses a singularity on the real timelike axis. For this
propagator we find a positive definite Schwinger function.Comment: 6 pages, 3 figures; summary of a talk given at several occasions; to
be published in the proceedings of the international conference QCD DOWN
UNDER, March 10 - 19, Adelaide, Australi
The Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge
The local composite operator A^2 is added to the Zwanziger action, which
implements the restriction to the Gribov region in Euclidean Yang-Mills
theories in the Landau gauge. We prove the renormalizability of this action to
all orders of perturbation theory. This allows to study the dimension two gluon
condensate by the local composite operator formalism when the restriction
is taken into account. The effective action is evaluated at one-loop order in
the MSbar scheme. We obtain explicit values for the Gribov parameter and for
the mass parameter due to , but the expansion parameter turns out to be
rather large. Furthermore, an optimization of the perturbative expansion in
order to reduce the dependence on the renormalization scheme is performed. The
properties of the vacuum energy, with or without , are investigated. It is
shown that in the original Gribov-Zwanziger formulation (without ), the
vacuum energy is always positive at 1-loop order, independently from the
renormalization scheme and scale. With , we are unable to come to a
definite conclusion at the order considered. In the MSbar scheme, we still find
a positive vacuum energy, again with a relatively large expansion parameter,
but there are renormalization schemes in which the vacuum energy is negative,
albeit the dependence on the scheme itself appears to be strong. We recover the
well known consequences of the restriction, and this in the presence of :
an infrared suppression of the gluon propagator and an enhancement of the ghost
propagator. This behaviour is in qualitative agreement with the results
obtained from the studies of the Schwinger-Dyson equations and from lattice
simulations.Comment: 42 pages, 10 .eps figures. v2: Version accepted for publication in
Phys.Rev.D. Added references. Technical details have been collected in two
appendice
Strong-coupling study of the Gribov ambiguity in lattice Landau gauge
We study the strong-coupling limit beta=0 of lattice SU(2) Landau gauge
Yang-Mills theory. In this limit the lattice spacing is infinite, and thus all
momenta in physical units are infinitesimally small. Hence, the infrared
behavior can be assessed at sufficiently large lattice momenta. Our results
show that at the lattice volumes used here, the Gribov ambiguity has an
enormous effect on the ghost propagator in all dimensions. This underlines the
severity of the Gribov problem and calls for refined studies also at finite
beta. In turn, the gluon propagator only mildly depends on the Gribov
ambiguity.Comment: 14 pages, 22 figures; minor changes, matches version to appear in
Eur. Phys. J.
Screening in Hot SU(2) Gauge Theory and Propagators in 3d Adjoint Higgs model
We investigate the large distance behavior of the electric and magnetic
propagators of hot SU(2) gauge theory in different gauges using lattice
simulations of the full 4d theory and the effective, dimensionally reduced 3d
theory. A comparison of the 3d and 4d data for the propagators suggests that
dimensional reduction works surprisingly well down to temperatures T=2 T_c. A
detailed study of the volume dependence of magnetic propagators is performed.
The electric propagators show exponential decay at large distances in all
gauges considered and a possible gauge dependence of the electric screening
mass turns out to be statistically insignificant.Comment: Submitted to Proceedings of Lattice 2000 and Workshop "Strong and
Electroweak Matter 2000". LaTeX uses espcrc2.st
Mesons in a Poincare Covariant Bethe-Salpeter Approach
We develop a covariant approach to describe the low-lying scalar,
pseudoscalar, vector and axialvector mesons as quark-antiquark bound states.
This approach is based on an effective interaction modeling of the
non--perturbative structure of the gluon propagator that enters the quark
Schwinger-Dyson and meson Bethe-Salpeter equations. We consistently treat these
integral equations by precisely implementing the quark propagator functions
that solve the Schwinger-Dyson equations into the Bethe-Salpeter equations in
the relevant kinematical region. We extract the meson masses and compute the
pion and kaon decay constants. We obtain a quantitatively correct description
for pions, kaons and vector mesons while the calculated spectra of scalar and
axialvector mesons suggest that their structure is more complex than being
quark-antiquark bound states.Comment: 18 pages LaTeX, 5 figures; some changes in the presentation, new
results on axial vector mesons in enlarged mixing scheme; version to be
published in Physical Review
Minimizing Higgs Potentials via Numerical Polynomial Homotopy Continuation
The study of models with extended Higgs sectors requires to minimize the
corresponding Higgs potentials, which is in general very difficult. Here, we
apply a recently developed method, called numerical polynomial homotopy
continuation (NPHC), which guarantees to find all the stationary points of the
Higgs potentials with polynomial-like nonlinearity. The detection of all
stationary points reveals the structure of the potential with maxima,
metastable minima, saddle points besides the global minimum. We apply the NPHC
method to the most general Higgs potential having two complex Higgs-boson
doublets and up to five real Higgs-boson singlets. Moreover the method is
applicable to even more involved potentials. Hence the NPHC method allows to go
far beyond the limits of the Gr\"obner basis approach.Comment: 9 pages, 4 figure
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