690 research outputs found
Equation of state of cosmic strings with fermionic current-carriers
The relevant characteristic features, including energy per unit length and
tension, of a cosmic string carrying massless fermionic currents in the
framework of the Witten model in the neutral limit are derived through
quantization of the spinor fields along the string. The construction of a Fock
space is performed by means of a separation between longitudinal modes and the
so-called transverse zero energy solutions of the Dirac equation in the vortex.
As a result, quantization leads to a set of naturally defined state parameters
which are the number densities of particles and anti-particles trapped in the
cosmic string. It is seen that the usual one-parameter formalism for describing
the macroscopic dynamics of current-carrying vortices is not sufficient in the
case of fermionic carriers.Comment: 30 pages, 15 figures, uses ReVTeX, equation of state corrected,
comments and references added. Accepted for publication in Phys. Rev.
Fermionic massive modes along cosmic strings
The influence on cosmic string dynamics of fermionic massive bound states
propagating in the vortex, and getting their mass only from coupling to the
string forming Higgs field, is studied. Such massive fermionic currents are
numerically found to exist for a wide range of model parameters and seen to
modify drastically the usual string dynamics coming from the zero mode currents
alone. In particular, by means of a quantization procedure, a new equation of
state describing cosmic strings with any kind of fermionic current, massive or
massless, is derived and found to involve, at least, one state parameter per
trapped fermion species. This equation of state exhibits transitions from
subsonic to supersonic regimes while the massive modes are filled.Comment: 27 pages, 15 figures, uses ReVTeX. Shortened version, accepted for
publication in Phys. Rev.
On the massive wave equation on slowly rotating Kerr-AdS spacetimes
The massive wave equation is
studied on a fixed Kerr-anti de Sitter background
. We first prove that in the Schwarzschild case
(a=0), remains uniformly bounded on the black hole exterior provided
that , i.e. the Breitenlohner-Freedman bound holds. Our proof
is based on vectorfield multipliers and commutators: The usual energy current
arising from the timelike Killing vector field (which fails to be
non-negative pointwise) is shown to be non-negative with the help of a Hardy
inequality after integration over a spacelike slice. In addition to , we
construct a vectorfield whose energy identity captures the redshift producing
good estimates close to the horizon. The argument is finally generalized to
slowly rotating Kerr-AdS backgrounds. This is achieved by replacing the Killing
vectorfield with for an
appropriate , which is also Killing and--in contrast to the
asymptotically flat case--everywhere causal on the black hole exterior. The
separability properties of the wave equation on Kerr-AdS are not used. As a
consequence, the theorem also applies to spacetimes sufficiently close to the
Kerr-AdS spacetime, as long as they admit a causal Killing field which is
null on the horizon.Comment: 1 figure; typos corrected, references added, introduction revised; to
appear in CM
Partial wave analysiss of pbar-p -> piminus-piplus, pizero-pizero, eta-eta and eta-etaprime
A partial wave analysis is presented of Crystal Barrel data on pbar-p ->
pizero-pizero, eta-eta and eta-etaprime from 600 to 1940 MeV/c, combined with
earlier data on d\sigma /d\Omega and P for pbar-p->piminus-piplus. The
following s-channel I=0 resonances are identified: (i) J^{PC} = 5^{--} with
mass and width (M,\Gamma) at (2295+-30,235^{+65}_{-40}) MeV, (ii) J^{PC} =
4^{++} at (2020+-12, 170+-15) MeV and (2300+-25, 270+-50) MeV, (iii) 3D3 JPC =
3^{--} at (1960+-15, 150+-25) MeV and (2210+-4$, 360+-55) MeV, and a 3G3 state
at (2300 ^{+50}_{-80}, 340+-150) MeV, (iv) JPC = 2^{++} at (1910+-30, 260+-40)
MeV, (2020+-30, 275+-35) MeV, (2230+-30, 245+-45) MeV, and (2300+-35, 290+-50)
MeV, (v) JPC = 1^{--} at (2005+-40, 275+-75) MeV, and (2165+-40, 160
^{+140}_{-70}) MeV, and (vi) JPC = 0^{++} at (2005+-30, 305+-50) MeV,
(2105+-15, 200+-25) MeV, and (2320+-30, 175+-45) MeV. In addition, there is a
less well defined 6^{++} resonance at 2485+-40 MeV, with Gamma = 410+-90 MeV.
For every JP, almost all these resonances lie on well defined linear
trajectories of mass squared v. excitation number. The slope is 1.10+-0.03
Gev^2 per excitation. The f_0(2105) has strong coupling to eta-\eta, but much
weaker coupling to pizero-pizero. Its flavour mixing angle between q-qbar and
s-sbar is (59-71.6)deg, i.e. dominant decays to s-sbar. Such decays and its
strong production in pbar-p interactions strongly suggest exotic character.Comment: Makes available the combined fit to Crystal Barrel data on pbar-p ->
2-body final states. 29 pages, 11 figures. Typo corrected in version
Ultrasound-guided out-of-plane (OOP) adductor canal continuous catheter placement compared to in-plane (IP) placement in total knee arthroplasty: a randomized, single blinded, pilot clinical trial
Background: Adductor canal continuous catheters (ACCCs) have largely replaced femoral nerve continuous catheters for providing analgesia after total knee arthroplasty. Both have similar analgesic efficacy, but ACCCs preserve quadricep strength and facilitate patient mobility more quickly. We hypothesized that placing the ACCC using an out of-plane (OOP) technique would decrease pain scores and opioid use due to parallel alignment with the saphenous nerve when compared to the in-plane (IP) technique. Methods: Sixty-nine patients undergoing total knee arthroplasty were randomized to either the IP or OOP technique for ultrasound-guided ACCC. The primary outcomes of the investigation were hospital length of stay, total opioid consumption, and average post-operative pain score. Secondary outcomes included total ondansetron consumption, total acetaminophen consumption, and the incidence of anti-emetic drug use. Results: There were no significant differences between the IP and the OOP groups for any of the measured variables: hospital length of stay, pre-operative pain score, average post-operative pain score, total opioid consumption, total ondansetron consumption, total acetaminophen consumption, and the incidence of anti-emetic drug administration. Conclusion: The OOP ACCC technique did not provide superior analgesia or decrease opioid consumption when compared to the IP ACCC technique. Both techniques can be used interchangeably for analgesia status-post TKA
Complex Kerr Geometry and Nonstationary Kerr Solutions
In the frame of the Kerr-Schild approach, we consider the complex structure
of Kerr geometry which is determined by a complex world line of a complex
source. The real Kerr geometry is represented as a real slice of this complex
structure. The Kerr geometry is generalized to the nonstationary case when the
current geometry is determined by a retarded time and is defined by a
retarded-time construction via a given complex world line of source. A general
exact solution corresponding to arbitrary motion of a spinning source is
obtained. The acceleration of the source is accompanied by a lightlike
radiation along the principal null congruence. It generalizes to the rotating
case the known Kinnersley class of "photon rocket" solutions.Comment: v.3, revtex, 16 pages, one eps-figure, final version (to appear in
PRD), added the relation to twistors and algorithm of numerical computations,
English is correcte
Analysing the elasticity difference tensor of general relativity
The elasticity difference tensor, used in [1] to describe elasticity
properties of a continuous medium filling a space-time, is here analysed from
the point of view of the space-time connection. Principal directions associated
with this tensor are compared with eigendirections of the material metric.
Examples concerning spherically symmetric and axially symmetric space-times are
then presented.Comment: 17 page
A Symmetry-induced Model of Elliptical Galaxy Patterns
S\'ersic (1968) generalized the de Vaucouleurs law which follows the
projected (observed) one dimensional radial profile of elliptical galaxies
closely and Dehnen (1993) proposed an analytical formula of the 3-dimensional
light distributions whose projected line profile resembles the de Vaucouleurs
law. This paper is involved to recover the Dehnen model and generalize the
model to account for galaxy elliptical shapes by means of curvilinear
coordinate systems and employing a symmetry principle. The symmetry principle
maps an orthogonal coordinate system to a light distribution pattern. The
coordinate system for elliptical galaxy patterns turns out to be the one which
is formed by the complex-plane reciprocal transformation . The resulting
spatial (3-dimensional) light distribution is spherically symmetric and has
infinite gradient at its centre, which is called spherical-nucleus solution and
is used to model galaxy central area. We can make changes of the coordinate
system by cutting out some column areas of its definition domain, the areas
containing the galaxy centre. The resulting spatial (3-dimensional) light
distributions are axisymmetric or triaxial and have zero gradient at the
centre, which are called elliptical-shape solutions and are used to model
global elliptical patterns. The two types of logarithmic light distributions
are added together to model full elliptical galaxy patterns. The model is a
generalization of the Dehnen model. One of the elliptical-shape solutions
permits realistic numerical calculation and is fitted to all R-band elliptical
images from the Frei {\it et al.}(1996)'s galaxy sample. The fitting is
satisfactory. This suggests that elliptical galaxy patterns can be represented
in terms of a few basic parameters.Comment: 20 pages, 7 figure
An orientifold of adS_5xT^11 with D7-branes, the associated alpha'^2- corrections and their role in the dual N=1 Sp(2N+2M)xSp(2N) gauge theory
We study the N=1 Sp(2N+2M)xSp(2N) gauge theory on a stack of N physical and M
fractional D3-branes in the background of an orientifolded conifold. The
gravity dual is a type IIB orientifold of adS_5xT^11 (with certain background
fluxes turned on) containing an O7-plane and 8 D7-branes. In the conformal case
(M=0), we argue that the alpha'^2-corrections localized on the 8 D7-branes and
the O7-plane should give vanishing contributions to the supergravity equations
of motion for the bulk fields. In the cascading case (M not equal to 0), we
argue that the alpha'^2-terms give rise to corrections which in the dual
Sp(2N+2M)xSp(2N) gauge theory can be interpreted as corrections to the
anomalous dimensions of the matter fields.Comment: 28 pages, 3 figures, LaTeX; v2: references added; v3: minor change
An Integrated TCGA Pan-Cancer Clinical Data Resource to Drive High-Quality Survival Outcome Analytics
For a decade, The Cancer Genome Atlas (TCGA) program collected clinicopathologic annotation data along with multi-platform molecular profiles of more than 11,000 human tumors across 33 different cancer types. TCGA clinical data contain key features representing the democratized nature of the data collection process. To ensure proper use of this large clinical dataset associated with genomic features, we developed a standardized dataset named the TCGA Pan-Cancer Clinical Data Resource (TCGA-CDR), which includes four major clinical outcome endpoints. In addition to detailing major challenges and statistical limitations encountered during the effort of integrating the acquired clinical data, we present a summary that includes endpoint usage recommendations for each cancer type. These TCGA-CDR findings appear to be consistent with cancer genomics studies independent of the TCGA effort and provide opportunities for investigating cancer biology using clinical correlates at an unprecedented scale. Analysis of clinicopathologic annotations for over 11,000 cancer patients in the TCGA program leads to the generation of TCGA Clinical Data Resource, which provides recommendations of clinical outcome endpoint usage for 33 cancer types
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