2,317 research outputs found
PSY42 Cost-utility analysis of Pain Medications used to treat Adult Patients with Chronic Back Pain in the United States
Relativistic Green functions in a plane wave gravitational background
We consider a massive relativistic particle in the background of a
gravitational plane wave. The corresponding Green functions for both spinless
and spin 1/2 cases, previously computed by A. Barducci and R. Giachetti
\cite{Barducci3}, are reobtained here by alternative methods, as for example,
the Fock-Schwinger proper-time method and the algebraic method. In analogy to
the electromagnetic case, we show that for a gravitational plane wave
background a semiclassical approach is also sufficient to provide the exact
result, though the lagrangian involved is far from being a quadratic one.Comment: Last paper by Professor Arvind Narayan Vaidya, 18 pages, no figure
A Conformal Mapping and Isothermal Perfect Fluid Model
Instead of conformal to flat spacetime, we take the metric conformal to a
spacetime which can be thought of as ``minimally'' curved in the sense that
free particles experience no gravitational force yet it has non-zero curvature.
The base spacetime can be written in the Kerr-Schild form in spherical polar
coordinates. The conformal metric then admits the unique three parameter family
of perfect fluid solution which is static and inhomogeneous. The density and
pressure fall off in the curvature radial coordinates as for
unbounded cosmological model with a barotropic equation of state. This is the
characteristic of isothermal fluid. We thus have an ansatz for isothermal
perfect fluid model. The solution can also represent bounded fluid spheres.Comment: 10 pages, TeX versio
Local correlations in a strongly interacting 1D Bose gas
We develop an analytical method for calculating local correlations in
strongly interacting 1D Bose gases, based on the exactly solvable Lieb-Liniger
model. The results are obtained at zero and finite temperatures. They describe
the interaction-induced reduction of local many-body correlation functions and
can be used for achieving and identifying the strong-coupling Tonks-Girardeau
regime in experiments with cold Bose gases in the 1D regime.Comment: 8 pages, REVTeX4, published in the New Journal of Physic
Seizure evoked regulation of LIM-HD genes and co-factors in the postnatal and adult hippocampus
The LIM-homeodomain (LIM-HD) family of transcription factors is well known for its functions during several developmental processes including cell fate specification, cell migration and axon guidance, and its members play fundamental roles in hippocampal development. The hippocampus is a structure that displays striking activity dependent plasticity. We examined whether LIM-HD genes and their co-factors are regulated during kainic acid induced seizure in the adult rat hippocampus as well as in early postnatal rats, when the hippocampal circuitry is not fully developed. We report a distinct and field-specific regulation of LIM-HD genes Lhx1, Lhx2, and Lhx9, LIM-only gene Lmo4, and cofactor Clim1a in the adult hippocampus after seizure induction. In contrast none of these genes displayed altered levels upon induction of seizure in postnatal animals. Our results provide evidence of temporal and spatial seizure mediated regulation of LIM-HD family members and suggest that LIM-HD gene function may be involved in activity dependent plasticity in the adult hippocampus
Current Oscillations, Interacting Hall Discs and Boundary CFTs
In this paper, we discuss the behavior of conformal field theories
interacting at a single point. The edge states of the quantum Hall effect (QHE)
system give rise to a particular representation of a chiral Kac-Moody current
algebra. We show that in the case of QHE systems interacting at one point we
obtain a ``twisted'' representation of the current algebra. The condition for
stationarity of currents is the same as the classical Kirchoff's law applied to
the currents at the interaction point. We find that in the case of two discs
touching at one point, since the currents are chiral, they are not stationary
and one obtains current oscillations between the two discs. We determine the
frequency of these oscillations in terms of an effective parameter
characterizing the interaction. The chiral conformal field theories can be
represented in terms of bosonic Lagrangians with a boundary interaction. We
discuss how these one point interactions can be represented as boundary
conditions on fields, and how the requirement of chirality leads to
restrictions on the interactions described by these Lagrangians. By gauging
these models we find that the theory is naturally coupled to a Chern-Simons
gauge theory in 2+1 dimensions, and this coupling is completely determined by
the requirement of anomaly cancellation.Comment: 32 pages, LateX. Uses amstex, amssymb. Typos corrected. To appear in
Int. J. Mod. Phys.
Exact Einstein-scalar field solutions for formation of black holes in a cosmological setting
We consider self-interacting scalar fields coupled to gravity. Two classes of
exact solutions to Einstein's equations are obtained: the first class
corresponds to the minimal coupling, the second one to the conformal coupling.
One of the solutions is shown to describe a formation of a black hole in a
cosmological setting. Some properties of this solution are described. There are
two kinds of event horizons: a black hole horizon and cosmological horizons.
The cosmological horizons are not smooth. There is a mild curvature
singularity, which affects extended bodies but allows geodesics to be extended.
It is also shown that there is a critical value for a parameter on which the
solution depends. Above the critical point, the black hole singularity is
hidden within a global black hole event horizon. Below the critical point, the
singularity appears to be naked. The relevance to cosmic censorship is
discussed.Comment: 25 pages, 2 figure
Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches
We study the evolution and scaling of the entanglement entropy after two
types of quenches for a 2+1 field theory, using holographic techniques. We
study a thermal quench, dual to the addition of a shell of uncharged matter to
four dimensional Anti-de Sitter (AdS_4) spacetime, and study the subsequent
formation of a Schwarzschild black hole. We also study an electromagnetic
quench, dual to the addition of a shell of charged sources to AdS_4, following
the subsequent formation of an extremal dyonic black hole. In these backgrounds
we consider the entanglement entropy of two types of geometries, the infinite
strip and the round disc, and find distinct behavior for each. Some of our
findings naturally supply results analogous to observations made in the
literature for lower dimensions, but we also uncover several new phenomena,
such as (in some cases) a discontinuity in the time derivative of the
entanglement entropy as it nears saturation, and for the electromagnetic
quench, a logarithmic growth in the entanglement entropy with time for both the
disc and strip, before settling to saturation.Comment: 30 pages, 19 figures. Corrected typos and added some discussion. To
appear in New J. Phy
- …