13,164 research outputs found
Effectively four-dimensional spacetimes emerging from d=5 Einstein-Gauss-Bonnet Gravity
Einstein-Gauss-Bonnet gravity in five-dimensional spacetime provides an
excellent example of a theory that, while including higher-order curvature
corrections to General Relativity, still shares many of its features, such as
second-order field equations for the metric. We focus on the largely unexplored
case where the coupling constants of the theory are such that no
constant-curvature solution is allowed, leaving open the question of what the
vacuum state should then be. We find that even a slight deviation from the
anti-de Sitter Chern-Simons theory, where the vacuum state is five-dimensional
AdS spacetime, leads to a complete symmetry breakdown, with the fifth dimension
either being compactified into a small circle or shrinking away exponentially
with time. A complete family of solutions, including duality relations among
them, is uncovered and shown to be unique within a certain class. This
dynamical dimensional reduction scenario seems particularly attractive as a
means for higher-dimensional theories to make contact with our four-dimensional
world.Comment: 9 pages, 4 figures. v2: New section on geometrical significance of
solutions. Final version for CQ
Regularization of odd-dimensional AdS gravity: Kounterterms
As an alternative to the Dirichlet counterterms prescription, I introduce the
concept of Kounterterms as the boundary terms with explicit dependence on the
extrinsic curvature K_{ij} that regularize the AdS gravity action. Instead of a
Dirichlet boundary condition on the metric, a suitable choice of the boundary
conditions --compatible with any asymptotically AdS (AAdS) spacetime-- ensures
a finite action principle for all odd dimensions. Background-independent
conserved quantities are obtained as Noether charges associated to asymptotic
symmetries and their general expression appears naturally split in two parts.
The first one gives the correct mass and angular momentum for AAdS black
holes and vanishes identically for globally AdS spacetimes. Thus, the second
part is a covariant formula for the vacuum energy in AAdS spacetimes and
reproduces the results obtained by the Dirichlet counterterms method in a
number of cases. It is also shown that this Kounterterms series regularizes the
Euclidean action and recovers the correct black hole thermodynamics in odd
dimensions.Comment: 35+6 pages, 8 references and an appendix added, improved discussion
on boundary conditions and geometrical origin of Kounterterms. Version
accepted in JHE
Thermodynamics of Black Holes in Schroedinger Space
A black hole and a black hyperboloid solutions in the space with the
Schroedinger isometries are presented and their thermodynamics is examined. The
on-shell action is obtained by the difference between the extremal and
non-extremal ones with the unusual matching of the boundary metrics. This
regularization method is first applied to the black brane solution in the space
of the Schroedinger symmetry and shown to correctly reproduce the known
thermodynamics. The actions of the black solutions all turn out to be the same
as the AdS counterparts. The phase diagram of the black hole system is obtained
in the parameter space of the temperature and chemical potential and the
diagram contains the Hawking-Page phase transition and instability lines.Comment: 20 page
Broadcast copies reveal the quantumness of correlations
We study the quantumness of bipartite correlations by proposing a quantity
that combines a measure of total correlations -- mutual information -- with the
notion of broadcast copies -- i.e., generally nonfactorized copies -- of
bipartite states. By analyzing how our quantity increases with the number of
broadcast copies, we are able to classify classical, separable, and entangled
states. This motivates the definition of the broadcast regularization of mutual
information, the asymptotic minimal mutual information per broadcast copy,
which we show to have many properties of an entanglement measure.Comment: 1 figure, 5 pages, more similar to the published versio
Sources for Chern-Simons theories
The coupling between Chern-Simons theories and matter sources defined by
branes of different dimensionalities is examined. It is shown that the standard
coupling to membranes, such as the one found in supergravity or in string
theory, does not operate in the same way for CS theories; the only p-branes
that naturally couple seem to be those with p=2n; these p-branes break the
gauge symmetry (and supersymmetry) in a controlled and sensible manner.Comment: 17 pages, Dedicated to Claudio Bunster on the occasion of his 60th
birthday. To appear in Quantum Mechanics of Fundamental Systems: The Quest
for Beauty and Simplicit
Algebraic decay of velocity fluctuations near a wall
Computer simulations of the dynamics of a colloidal particle suspended in a fluid confined by an interface show that the asymptotic decay of the velocity correlation functions is algebraic. The exponents of the long-time tails depend on the direction of motion of the particle relative to the surface, as well as on the specific nature of the boundary conditions. In particular, we find that for the angular velocity correlation function, the decay in the presence of a slip surface is faster than the one corresponding to a stick one. An intuitive picture is introduced to explain the various long-time tails, and the simulations are compared with theoretical expressions where available
An Interoperable Electronic Health Record System for Clinical Cardiology
Currently in hospitals, there are several separate information systems that manage, very often autonomously, the patient’s personal, clinical and diagnostic data. An electronic health record system has been specifically developed for a cardiology ward and it has been designed “ab initio” to be fully integrated into the hospital information system and to exchange data with the regional health information infrastructure. All documents have been given as Health Level 7 (HL7) clinical document architecture and messages are sent as HL7-Version 2 (V2) and/or HL7 Fast Healthcare Interoperability Resources (FHIR). Specific decision support sections for specific aspects have also been included. The system has been used for more than three years with a good level of satisfaction by the users. In the future, the system can be the basis for secondary use for clinical studies, further decision support systems and clinical trials
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