2,975 research outputs found
Exact String Solutions in Nontrivial Backgrounds
We show how the classical string dynamics in -dimensional gravity
background can be reduced to the dynamics of a massless particle constrained on
a certain surface whenever there exists at least one Killing vector for the
background metric. We obtain a number of sufficient conditions, which ensure
the existence of exact solutions to the equations of motion and constraints.
These results are extended to include the Kalb-Ramond background. The
-brane dynamics is also analyzed and exact solutions are found. Finally, we
illustrate our considerations with several examples in different dimensions.
All this also applies to the tensionless strings.Comment: 22 pages, LaTeX, no figures; V2:Comments and references added;
V3:Discussion on the properties of the obtained solutions extended, a
reference and acknowledgment added; V4:The references renumbered, to appear
in Phys Rev.
Classification of inter-subject fMRI data based on graph kernels
The analysis of human brain connectivity networks has become an increasingly prevalent task in neuroimaging. A few recent studies have shown the possibility of decoding brain states based on brain graph classification. Graph kernels have emerged as a powerful tool for graph comparison that allows the direct use of machine learning classifiers on brain graph collections. They allow classifying graphs with different number of nodes and therefore the inter-subject analysis without any kind of previous alignment of individual subject's data. Using whole-brain fMRI data, in this paper we present a method based on graph kernels that provides above-chance accuracy results for the inter-subject discrimination of two different types of auditory stimuli. We focus our research on determining whether this method is sensitive to the relational information in the data. Indeed, we show that the discriminative information is not only coming from topological features of the graphs like node degree distribution, but also from more complex relational patterns in the neighborhood of each node. Moreover, we investigate the suitability of two different graph representation methods, both based on data-driven parcellation techniques. Finally, we study the influence of noisy connections in our graphs and provide a way to alleviate this problem
On algebraic structures in supersymmetric principal chiral model
Using the Poisson current algebra of the supersymmetric principal chiral
model, we develop the algebraic canonical structure of the model by evaluating
the fundamental Poisson bracket of the Lax matrices that fits into the rs
matrix formalism of non-ultralocal integrable models. The fundamental Poisson
bracket has been used to compute the Poisson bracket algebra of the monodromy
matrix that gives the conserved quantities in involution
Current Algebra of Classical Non-Linear Sigma Models
The current algebra of classical non-linear sigma models on arbitrary
Riemannian manifolds is analyzed. It is found that introducing, in addition to
the Noether current associated with the global symmetry of the theory,
a composite scalar field , the algebra closes under Poisson brackets.Comment: 6 page
Quantum Zeno and anti-Zeno effects in surface diffusion of interacting adsorbates
Surface diffusion of interacting adsorbates is here analyzed within the
context of two fundamental phenomena of quantum dynamics, namely the quantum
Zeno effect and the anti-Zeno effect. The physical implications of these
effects are introduced here in a rather simple and general manner within the
framework of non-selective measurements and for two (surface) temperature
regimes: high and very low (including zero temperature). The quantum
intermediate scattering function describing the adsorbate diffusion process is
then evaluated for flat surfaces, since it is fully analytical in this case.
Finally, a generalization to corrugated surfaces is also discussed. In this
regard, it is found that, considering a Markovian framework and high surface
temperatures, the anti-Zeno effect has already been observed, though not
recognized as such.Comment: 17 pages, 1 figur
Stress-energy tensor in the Bel-Szekeres space-time
In a recent work an approximation procedure was introduced to calculate the
vacuum expectation value of the stress-energy tensor for a conformal massless
scalar field in the classical background determined by a particular colliding
plane wave space-time. This approximation procedure consists in appropriately
modifying the space-time geometry throughout the causal past of the collision
center. This modification in the geometry allows to simplify the boundary
conditions involved in the calculation of the Hadamard function for the quantum
state which represents the vacuum in the flat region before the arrival of the
waves. In the present work this approximation procedure is applied to the
non-singular Bel-Szekeres solution, which describes the head on collision of
two electromagnetic plane waves. It is shown that the stress-energy tensor is
unbounded as the killing-Cauchy horizon of the interaction is approached and
its behavior coincides with a previous calculation in another example of
non-singular colliding plane wave space-time.Comment: 17 pages, LaTex file, 2 PostScript figure
The Length of an SLE - Monte Carlo Studies
The scaling limits of a variety of critical two-dimensional lattice models
are equal to the Schramm-Loewner evolution (SLE) for a suitable value of the
parameter kappa. These lattice models have a natural parametrization of their
random curves given by the length of the curve. This parametrization (with
suitable scaling) should provide a natural parametrization for the curves in
the scaling limit. We conjecture that this parametrization is also given by a
type of fractal variation along the curve, and present Monte Carlo simulations
to support this conjecture. Then we show by simulations that if this fractal
variation is used to parametrize the SLE, then the parametrized curves have the
same distribution as the curves in the scaling limit of the lattice models with
their natural parametrization.Comment: 18 pages, 10 figures. Version 2 replaced the use of "nu" for the
"growth exponent" by 1/d_H, where d_H is the Hausdorff dimension. Various
minor errors were also correcte
Protocolo para verificaciones diarias, mensual y anual de un equipo de tomoterapia
La tomoterapia es una tĂ©cnica novedosa de tratamien-to contra el cáncer que permite ajustar el haz de radia-ciĂłn a la forma del tumor y proteger los Ăłrganos sanos. En MĂ©xico, actualmente están funcionando cuatro equipos de tomoterapia, pero al ser equipos de nueva tecnologĂa, surge la necesidad de establecer protocolos que permitan unificar los criterios para la elaboraciĂłn de verificaciones del equipo y asĂ garantizar la calidad de los tratamientos a los pacientes. En el presente tra-bajo se plantea el procedimiento de un protocolo para realizar verificaciones diarias, mensuales y anuales de un equipo de tomoterapia de una forma confiable y rápida
The XX--model with boundaries. Part I: Diagonalization of the finite chain
This is the first of three papers dealing with the XX finite quantum chain
with arbitrary, not necessarily hermitian, boundary terms. This extends
previous work where the periodic or diagonal boundary terms were considered. In
order to find the spectrum and wave-functions an auxiliary quantum chain is
examined which is quadratic in fermionic creation and annihilation operators
and hence diagonalizable. The secular equation is in general complicated but
several cases were found when it can be solved analytically. For these cases
the ground-state energies are given. The appearance of boundary states is also
discussed and in view to the applications considered in the next papers, the
one and two-point functions are expressed in terms of Pfaffians.Comment: 56 pages, LaTeX, some minor correction
Exact solution of the open XXZ chain with general integrable boundary terms at roots of unity
We propose a Bethe-Ansatz-type solution of the open spin-1/2 integrable XXZ
quantum spin chain with general integrable boundary terms and bulk anisotropy
values i \pi/(p+1), where p is a positive integer. All six boundary parameters
are arbitrary, and need not satisfy any constraint. The solution is in terms of
generalized T - Q equations, having more than one Q function. We find numerical
evidence that this solution gives the complete set of 2^N transfer matrix
eigenvalues, where N is the number of spins.Comment: 22 page
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