36,669 research outputs found
(Lattice) Propagators and Extraction of Spectral Densities
In this proceeding, we explain a few steps for an alternative extraction of
the spectral density of a two-point function (propagator) based on a discrete
set of data points. We present a so-called Tikhonov regularization of this
particular inverse problem. We test it on 2 cases: lattice 0++} glueball data
and mock gluon data.Comment: 8 pages, 4 figures. Proceedings of Xth Quark Confinement and the
Hadron Spectrum, October 8-12, 2012, TUM Campus Garching, Munich, German
The lattice gluon propagator in renormalizable gauges
We study the SU(3) gluon propagator in renormalizable gauges
implemented on a symmetric lattice with a total volume of (3.25 fm) for
values of the guage fixing parameter up to . As expected, the
longitudinal gluon dressing function stays constant at its tree-level value
. Similar to the Landau gauge, the transverse gauge gluon
propagator saturates at a non-vanishing value in the deep infrared for all
values of studied. We compare with very recent continuum studies and
perform a simple analysis of the found saturation with a dynamically generated
effective gluon mass.Comment: 6 pages, 4 figure
Gluon and Ghost Dynamics from Lattice QCD
The two point gluon and ghost correlation functions and the three gluon
vertex are investigated, in the Landau gauge, using lattice simulations. For
the two point functions, we discuss the approach to the continuum limit looking
at the dependence on the lattice spacing and volume. The analytical structure
of the propagators is also investigated by computing the corresponding spectral
functions using an implementation of the Tikhonov regularisation to solve the
integral equation. For the three point function we report results when the
momentum of one of the gluon lines is set to zero and discuss its implications.Comment: Proceedings of Light Cone 2016, held in Lisbon, September 2016. Minor
changes in text. To appear in Few B Sy
Self-Similar Collapse of Scalar Field in Higher Dimensions
This paper constructs continuously self-similar solution of a spherically
symmetric gravitational collapse of a scalar field in n dimensions. The
qualitative behavior of these solutions is explained, and closed-form answers
are provided where possible. Equivalence of scalar field couplings is used to
show a way to generalize minimally coupled scalar field solutions to the model
with general coupling.Comment: RevTex 3.1, 15 pages, 3 figures; references adde
Spatial patterns and biodiversity in off-lattice simulations of a cyclic three-species Lotka-Volterra model
Stochastic simulations of cyclic three-species spatial predator-prey models
are usually performed in square lattices with nearest neighbor interactions
starting from random initial conditions. In this Letter we describe the results
of off-lattice Lotka-Volterra stochastic simulations, showing that the
emergence of spiral patterns does occur for sufficiently high values of the
(conserved) total density of individuals. We also investigate the dynamics in
our simulations, finding an empirical relation characterizing the dependence of
the characteristic peak frequency and amplitude on the total density. Finally,
we study the impact of the total density on the extinction probability, showing
how a low population density may jeopardize biodiversity.Comment: 5 pages, 7 figures; new version, with new title and figure
Broad Histogram Method for Continuous Systems: the XY-Model
We propose a way of implementing the Broad Histogram Monte Carlo method to
systems with continuous degrees of freedom, and we apply these ideas to
investigate the three-dimensional XY-model with periodic boundary conditions.
We have found an excellent agreement between our method and traditional
Metropolis results for the energy, the magnetization, the specific heat and the
magnetic susceptibility on a very large temperature range. For the calculation
of these quantities in the temperature range 0.7<T<4.7 our method took less CPU
time than the Metropolis simulations for 16 temperature points in that
temperature range. Furthermore, it calculates the whole temperature range
1.2<T<4.7 using only 2.2 times more computer effort than the Histogram Monte
Carlo method for the range 2.1<T<2.2. Our way of treatment is general, it can
also be applied to other systems with continuous degrees of freedom.Comment: 23 pages, 10 Postscript figures, to be published in Int. J. Mod.
Phys.
Does Good Mutation Help You Live Longer?
We study the dynamics of an age-structured population in which the life
expectancy of an offspring may be mutated with respect to that of its parent.
When advantageous mutation is favored, the average fitness of the population
grows linearly with time , while in the opposite case the average fitness is
constant. For no mutational bias, the average fitness grows as t^{2/3}. The
average age of the population remains finite in all cases and paradoxically is
a decreasing function of the overall population fitness.Comment: 4 pages, 2 figures, RevTeX revised version, to appear in Phys. Rev.
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