96 research outputs found
Gluon Propagators and Confinement
We present SU(3) gluon propagators calculated on 48*48*48*N_t lattices at
beta=6.8 where N_t=64 (corresponding the confinement phase) and N_t=16
(deconfinement) with the bare gauge parameter,alpha, set to be 0.1. In order to
avoid Gribov copies, we employ the stochastic gauge fixing algorithm. Gluon
propagators show quite different behavior from those of massless gauge fields:
(1) In the confinement phase, G(t) shows massless behavior at small and large
t, while around 5<t<15 it behaves as massive particle, and (2) effective mass
observed in G(z) becomes larger as z increases. (3) In the deconfinement phase,
G(z) shows also massive behavior but effective mass is less than in the
confinement case. In all cases, slope masses are increasing functions of t or
z, which can not be understood as addtional physical poles.Comment: 6 pages in Postscrip
The Extremely High Energy Cosmic Rays
Experimental results from Haverah Park, Yakutsk, AGASA and Fly's Eye are
reviewed. All these experiments work in the energy range above 0.1 EeV. The
'dip' structure around 3 EeV in the energy spectrum is well established by all
the experiments, though the exact position differs slightly. Fly's Eye and
Yakutsk results on the chemical composition indicate that the cosmic rays are
getting lighter over the energy range from 0.1 EeV to 10 EeV, but the exact
fraction is hadronic interaction model dependent, as indicated by the AGASA
analysis. The arrival directions of cosmic rays are largely isotropic, but
interesting features may be starting to emerge. Most of the experimental
results can best be explained with the scenario that an extragalactic component
gradually takes over a galactic population as energy increases and cosmic rays
at the highest energies are dominated by particles coming from extragalactic
space. However, identification of the extragalactic sources has not yet been
successful because of limited statistics and the resolution of the data.Comment: The review paper including 21 figures. 39 pages: To be published in
Journal of Physics
Asymptotic Scaling and Infrared Behavior of the Gluon Propagator
The Landau gauge gluon propagator for the pure gauge theory is evaluated on a
32^3x64 lattice with a physical volume of (3.35^3x6.7)fm^4. Comparison with two
smaller lattices at different lattice spacings allows an assessment of finite
volume and finite lattice spacing errors. Cuts on the data are imposed to
minimize these errors. Scaling of the gluon propagator is verified between
beta=6.0 and beta=6.2. The tensor structure is evaluated and found to be in
good agreement with the Landau gauge form, except at very small momentum
values, where some small finite volume errors persist. A number of functional
forms for the momentum dependence of the propagator are investigated. The form
D(q^2)=D_ir+D_uv, where D_ir(q^2) ~ (q^2+M^2)^-\eta and D_uv is an infrared
regulated one-loop asymptotic form, is found to provide an adequate description
of the data over the entire momentum region studied - thereby bridging the gap
between the infrared confinement region and the ultraviolet asymptotic region.
The best estimate for the exponent \eta is 3.2(+0.1/-0.2)(+0.2/-0.3), where the
first set of errors represents the uncertainty associated with varying the
fitting range, while the second set of errors reflects the variation arising
from different choices of infrared regulator in D_uv. Fixing the form of D_uv,
we find that the mass parameter M is (1020+/-100)MeV.Comment: 37 pages, RevTeX, 16 postscript figures, 7 gif figures. Revised
version accepted for publication in Phys. Rev. D. Model functions and
discussion of asymptotic behaviour modified; all model fits have been redone.
This paper, including postscript version of all figures, can be found at
http://www.physics.adelaide.edu.au/~jskuller/papers
On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
In the covariant description of confinement, one expects the ghost
correlations to be infrared enhanced. Assuming ghost dominance, the long-range
behavior of gluon and ghost correlations in Landau gauge QCD is determined by
one exponent kappa. The gluon propagator is infrared finite (vanishing) for
kappa =1/2 (kappa > 1/2) which is still under debate. Here, we study critical
exponent and coupling for the infrared conformal behavior from the asymptotic
form of the solutions to the Dyson-Schwinger equations in an ultraviolet finite
expansion scheme. The value for kappa is directly related to the ghost-gluon
vertex. Assuming that it is regular in the infrared, one obtains kappa = 0.595.
This value maximizes the critical coupling alpha_c(kappa), yielding alpha_c^max
= (4 Pi/Nc) 0.709 approx. 2.97 for Nc=3. For larger kappa the vertex acquires
an infrared singularity in the gluon momentum, smaller ones imply infrared
singular ghost legs. Variations in alpha_c remain within 5% from kappa = 0.5 to
0.7. Above this range, alpha_c decreases more rapidly with alpha_c -> 0 as
kappa -> 1 which sets the upper bound on kappa.Comment: 22 Pages, 10 Figures, LaTeX2e, revtex4, some notes and references
added in response to communication
Infrared behavior of the gluon propagator in lattice Landau gauge: the three-dimensional case
We evaluate numerically the three-momentum-space gluon propagator in the
lattice Landau gauge, for three-dimensional pure-SU(2) lattice gauge theory
with periodic boundary conditions. Simulations are done for nine different
values of the coupling , from (strong coupling) to (in the scaling region), and for lattice sizes up to . In the
limit of large lattice volume we observe, in all cases, a gluon propagator
decreasing for momenta smaller than a constant value . From our data
we estimate MeV. The result of a gluon propagator
decreasing in the infrared limit has a straightforward interpretation as
resulting from the proximity of the so-called first Gribov horizon in the
infrared directions.Comment: 14 pages, BI-TP 99/03 preprint, correction in the Acknowledgments
section. To appear in Phys.Rev.
The Gribov problem and QCD dynamics
In 1967, Faddeev and Popov were able to quantize the Yang-Mills theory by
introducing new particles called ghost through the introduction of a gauge.
Ever since, this quantization has become a standard textbook item. Some years
later, Gribov discovered that the gauge fixing was not complete, gauge copies
called Gribov copies were still present and could affect the infrared region of
quantities like the gauge dependent gluon and ghost propagator. This feature
was often in literature related to confinement. Some years later, the
semi-classical approach of Gribov was generalized to all orders and the
so-called GZ action was born. Ever since, many related articles were published.
This review tends to give a pedagogic review of the ideas of Gribov and the
subsequent construction of the GZ action, including many other toipics related
to the Gribov region. It is shown how the GZ action can be viewed as a
non-perturbative tool which has relations with other approaches towards
confinement. Many different features related to the GZ action shall be
discussed in detail, such as BRST breaking, the KO criterion, the propagators,
etc. We shall also compare with the lattice data and other non-perturbative
approaches, including stochastic quantization.Comment: 121 pages, 12 figures, Review article, references adde
Lattice Landau gauge with stochastic quantisation
We calculate Landau gauge ghost and gluon propagators in pure SU(2) lattice
gauge theory in two, three and four dimensions. The gauge fixing method we use,
sc. stochastic quantisation, serves as a viable alternative approach to
standard gauge fixing algorithms. We also investigate the spectrum of the
Faddeev-Popov operator. At insufficiently accurate gauge fixing, we find
evidence that stochastic quantisation samples configurations close to the
Gribov horizon. Standard gauge fixing does so only at specific parameters;
otherwise, there is a clear difference. However, this difference disappears if
the gauge is fixed to sufficient accuracy. In this case, we confirm previous
lattice results for the gluon and ghost propagator in two, three and four
dimensions.Comment: 14 pages, 15 figure
Adaptable Functionality of Transcriptional Feedback in Bacterial Two-Component Systems
A widespread mechanism of bacterial signaling occurs through two-component systems, comprised of a sensor histidine kinase (SHK) and a transcriptional response regulator (RR). The SHK activates RR by phosphorylation. The most common two-component system structure involves expression from a single operon, the transcription of which is activated by its own phosphorylated RR. The role of this feedback is poorly understood, but it has been associated with an overshooting kinetic response and with fast recovery of previous interrupted signaling events in different systems. Mathematical models show that overshoot is only attainable with negative feedback that also improves response time. Our models also predict that fast recovery of previous interrupted signaling depends on high accumulation of SHK and RR, which is more likely in a positive feedback regime. We use Monte Carlo sampling of the parameter space to explore the range of attainable model behaviors. The model predicts that the effective feedback sign can change from negative to positive depending on the signal level. Variations in two-component system architectures and parameters may therefore have evolved to optimize responses in different bacterial lifestyles. We propose a conceptual model where low signal conditions result in a responsive system with effectively negative feedback while high signal conditions with positive feedback favor persistence of system output
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