28,063 research outputs found
Majorana spinors and extended Lorentz symmetry in four-dimensional theory
An extended local Lorentz symmetry in four-dimensional (4D) theory is
considered. A source of this symmetry is a group of general linear
transformations of four-component Majorana spinors GL(4,M) which is isomorphic
to GL(4,R) and is the covering of an extended Lorentz group in a 6D Minkowski
space M(3,3) including superluminal and scaling transformations. Physical
space-time is assumed to be a 4D pseudo-Riemannian manifold. To connect the
extended Lorentz symmetry in the M(3,3) space with the physical space-time, a
fiber bundle over the 4D manifold is introduced with M(3,3) as a typical fiber.
The action is constructed which is invariant with respect to both general 4D
coordinate and local GL(4,M) spinor transformations. The components of the
metric on the 6D fiber are expressed in terms of the 4D pseudo-Riemannian
metric and two extra complex fields: 4D vector and scalar ones. These extra
fields describe in the general case massive particles interacting with an extra
U(1) gauge field and weakly interacting with ordinary particles, i.e.
possessing properties of invisible (dark) matter.Comment: 24 page
Radial Redshift Space Distortions
The radial component of the peculiar velocities of galaxies cause
displacements in their positions in redshift space. We study the effect of the
peculiar velocities on the linear redshift space two point correlation
function. Our analysis takes into account the radial nature of the redshift
space distortions and it highlights the limitations of the plane parallel
approximation. We consider the problem of determining the value of \beta and
the real space two point correlation function from the linear redshift space
two point correlation function. The inversion method proposed here takes into
account the radial nature of the redshift space distortions and can be applied
to magnitude limited redshift surveys that have only partial sky coverage.Comment: 26 pages including 11 figures, to appear in Ap
An Inversion Method for Measuring Beta in Large Redshift Surveys
A precision method for determining the value of Beta= Omega_m^{0.6}/b, where
b is the galaxy bias parameter, is presented. In contrast to other existing
techniques that focus on estimating this quantity by measuring distortions in
the redshift space galaxy-galaxy correlation function or power spectrum, this
method removes the distortions by reconstructing the real space density field
and determining the value of Beta that results in a symmetric signal. To remove
the distortions, the method modifies the amplitudes of a Fourier plane-wave
expansion of the survey data parameterized by Beta. This technique is not
dependent on the small-angle/plane-parallel approximation and can make full use
of large redshift survey data. It has been tested using simulations with four
different cosmologies and returns the value of Beta to +/- 0.031, over a factor
of two improvement over existing techniques.Comment: 16 pages including 6 figures Submitted to The Astrophysical Journa
Differential reductions of the Kadomtsev-Petviashvili equation and associated higher dimensional nonlinear PDEs
We represent an algorithm allowing one to construct new classes of partially
integrable multidimensional nonlinear partial differential equations (PDEs)
starting with the special type of solutions to the (1+1)-dimensional hierarchy
of nonlinear PDEs linearizable by the matrix Hopf-Cole substitution (the
B\"urgers hierarchy).
We derive examples of four-dimensional nonlinear matrix PDEs together with
they scalar and three-dimensional reductions. Variants of the
Kadomtsev-Petviashvili type and Korteweg-de Vries type equations are
represented among them. Our algorithm is based on the combination of two
Frobenius type reductions and special differential reduction imposed on the
matrix fields of integrable PDEs. It is shown that the derived four-dimensional
nonlinear PDEs admit arbitrary functions of two variables in their solution
spaces which clarifies the integrability degree of these PDEs.Comment: 20 pages, 1 fugur
Tropical–North Pacific Climate Linkages over the Past Four Centuries
Analyses of instrumental data demonstrate robust linkages between decadal-scale North Pacific and tropical Indo-Pacific climatic variability. These linkages encompass common regime shifts, including the noteworthy 1976 transition in Pacific climate. However, information on Pacific decadal variability and the tropical high-latitude climate connection is limited prior to the twentieth century. Herein tree-ring analysis is employed to extend the understanding of North Pacific climatic variability and related tropical linkages over the past four centuries. To this end, a tree-ring reconstruction of the December-May North Pacific index (NPI)-an index of the atmospheric circulation related to the Aleutian low pressure cell-is presented (1600-1983). The NPI reconstruction shows evidence for the three regime shifts seen in the instrumental NPI data, and for seven events in prior centuries. It correlates significantly with both instrumental tropical climate indices and a coral-based reconstruction of an optimal tropical Indo-Pacific climate index, supporting evidence for a tropical-North Pacific link extending as far west as the western Indian Ocean. The coral-based reconstruction (1781-1993) shows the twentieth-century regime shifts evident in the instrumental NPI and instrumental tropical Indo-Pacific climate index, and three previous shifts. Changes in the strength of correlation between the reconstructions over time, and the different identified shifts in both series prior to the twentieth century, suggest a varying tropical influence on North Pacific climate, with greater influence in the twentieth century. One likely mechanism is the low-frequency variability of the El Nino-Southern Oscillation (ENSO) and its varying impact on Indo-Pacific climate.</p
The Chemical Enrichment History of the Large Magellanic Cloud
Ca II triplet spectroscopy has been used to derive stellar metallicities for
individual stars in four LMC fields situated at galactocentric distances of
3\arcdeg, 5\arcdeg, 6\arcdeg\@ and 8\arcdeg\@ to the north of the Bar. Observed
metallicity distributions show a well defined peak, with a tail toward low
metallicities. The mean metallicity remains constant until 6\arcdeg\@
([Fe/H]-0.5 dex), while for the outermost field, at 8\arcdeg, the mean
metallicity is substantially lower than in the rest of the disk
([Fe/H]-0.8 dex). The combination of spectroscopy with deep CCD
photometry has allowed us to break the RGB age--metallicity degeneracy and
compute the ages for the objects observed spectroscopically. The obtained
age--metallicity relationships for our four fields are statistically
indistinguishable. We conclude that the lower mean metallicity in the outermost
field is a consequence of it having a lower fraction of intermediate-age stars,
which are more metal-rich than the older stars. The disk age--metallicity
relationship is similar to that for clusters. However, the lack of objects with
ages between 3 and 10 Gyr is not observed in the field population. Finally, we
used data from the literature to derive consistently the age--metallicity
relationship of the bar. Simple chemical evolution models have been used to
reproduce the observed age--metallicity relationships with the purpose of
investigating which mechanism has participated in the evolution of the disk and
bar. We find that while the disk age--metallicity relationship is well
reproduced by close-box models or models with a small degree of outflow, that
of the bar is only reproduced by models with combination of infall and outflow.Comment: 45 pages, 10 figures, accepted for publication in Astronomical
Journa
Clump stars in the Solar Neighbourhood
Hipparcos data has allowed the identification of a large number of clump
stars in the Solar Neighbourhood. We discuss our present knowledge about their
distributions of masses, ages, colours, magnitudes, and metallicities. We point
out that the age distribution of clump stars is ``biased'' towards
intermediate-ages. Therefore, the metallicity information they contain is
different from that provided by the local G dwarfs. Since accurate abundance
determinations are about to become available, these may provide useful
constraints to chemical evolution models of the local disc.Comment: 6 pages, proc. of the Sept. 20-24, 1999 Vulcano Workshop "The
chemical evolution of the Milky Way: stars vs. clusters", eds. F. Matteucci,
F. Giovanell
Note on Redshift Distortion in Fourier Space
We explore features of redshift distortion in Fourier analysis of N-body
simulations. The phases of the Fourier modes of the dark matter density
fluctuation are generally shifted by the peculiar motion along the line of
sight, the induced phase shift is stochastic and has probability distribution
function (PDF) symmetric to the peak at zero shift while the exact shape
depends on the wave vector, except on very large scales where phases are
invariant by linear perturbation theory. Analysis of the phase shifts motivates
our phenomenological models for the bispectrum in redshift space. Comparison
with simulations shows that our toy models are very successful in modeling
bispectrum of equilateral and isosceles triangles at large scales. In the
second part we compare the monopole of the power spectrum and bispectrum in the
radial and plane-parallel distortion to test the plane-parallel approximation.
We confirm the results of Scoccimarro (2000) that difference of power spectrum
is at the level of 10%, in the reduced bispectrum such difference is as small
as a few percents. However, on the plane perpendicular to the line of sight of
k_z=0, the difference in power spectrum between the radial and plane-parallel
approximation can be more than 10%, and even worse on very small scales. Such
difference is prominent for bispectrum, especially for those configurations of
tilted triangles. The non-Gaussian signals under radial distortion on small
scales are systematically biased downside than that in plane-parallel
approximation, while amplitudes of differences depend on the opening angle of
the sample to the observer. The observation gives warning to the practice of
using the power spectrum and bispectrum measured on the k_z=0 plane as
estimation of the real space statistics.Comment: 15 pages, 8 figures. Accepted for publication in ChJA
The Determination of Nuclear Level Densities from Experimental Information -
A novel Information Theory based method for determining the density of states
from prior information is presented. The energy dependence of the density of
states is determined from the observed number of states per energy interval and
model calculations suggest that the method is sufficiently reliable to
calculate the thermal properties of nuclei over a reasonable temperature range.Comment: 7 pages + 6 eps figures, REVTEX 3.
High-pT pi0 Production with Respect to the Reaction Plane Using the PHENIX Detector at RHIC
The origin of the azimuthal anisotropy in particle yields at high pT (pT > 5
GeV/c) in RHIC collisions remains an intriguing puzzle. Traditional flow and
parton energy loss models have failed to completely explain the large v2
observed at high pT. Measurement of this parameter at high pT will help to gain
an understanding of the interplay between flow, recombination and energy loss,
and the role they play in the transition from soft to hard physics. Neutral
mesons measured in the PHENIX experiment provide an ideal observable for such
studies. We present recent measurements of \piz yields with respect to the
reaction plane, and discuss the impact current models have on our understanding
of these mechanisms.Comment: Contribnution to the proceedings of Hot Quarks 2006, 15-20 May 2006,
Villasimius, Sardini
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