The Epstein-Glaser causal approach to the Light-Front QED4_{4}. I: Free theory

In this work we present the study of light-front field theories in the realm of axiomatic theory. It is known that when one uses the light-cone gauge pathological poles $(k^{+}) ^{-n}$ arises, demanding a prescription to be employed in order to tame these ill-defined poles and to have correct Feynman integrals due to the lack of Wick rotation in such theories. In order to shed a new light on this long standing problem we present here a discussion based on the use rigorous mathematical machinery of distributions combined with physical concepts, such as causality, to show how to deal with these singular propagators in a general fashion without making use of any prescription. The first step of our development will consist in showing how analytic representation for propagators arises by requiring general physical properties in the framework of Wightman's formalism. From that we shall determine the equal-time (anti)commutation relations in the light-front form for the scalar, fermionic fields and for the dynamical components of the electromagnetic field. In conclusion, we introduce the Epstein-Glaser causal method in order to have a mathematical rigorous treatment of the free propagators of the theory, allowing us to discuss the general treatment for propagators of the type $(k^{+}) ^{-n}$. Moreover, we show that at given conditions our results reproduce known prescriptions in the literature.Comment: 34 pages, v2 matching the published versio

Causal approach for the electron-positron scattering in Generalized Quantum Electrodynamics

In this paper we study the generalized electrodynamics contribution for the electron-positron scattering process, $e^{-}e^{+}\rightarrow e^{-}e^{+}$, the Bhabha scattering. Within the framework of the standard model, for energies larger when compared to the electron mass, we calculate the cross section expression for the scattering process. This quantity is usually calculated in the framework of the Maxwell electrodynamics and, by phenomenological reasons, corrected by a cut-off parameter. On the other hand, by considering the generalized electrodynamics instead of Maxwell's, we can show that the effects played by the Podolsky mass is actually a natural cut-off parameter for this scattering process. Furthermore, by means of experimental data of Bhabha scattering we will estimate its lower bound value. Nevertheless, in order to have a mathematically well defined description of our study we shall present our discussion in the framework of the Epstein-Glaser causal theory.Comment: 24 pages, V2 to match published versio

Hierarchy and Competition in CSCW applications: Model and case study

CSCW applications need to adapt themselves to the functional and organizational structures of people that use them. However they do not usually support division in groups with a certain hierarchical structure among them. In this paper, we propose and study a theoretical model of groupware appliations that reflects those hierarchical interactions. The proposed model is also intended to evaluate the effects in performance derived from competitive and collaborative relationships among the components of a hierarchy of groups. In order to demonstrate the above ideas, a groupware game, called Alymod, was designed and implemented using a modified version of a well-known CSCW Toolkit, namely Groupkit. Groupkit was modified in order to support group interactions in the same CSCW application. In Alymod, participants compete or collaborate within a hierarchical structure to achieve a common goal (completing gaps in a text, finishing numerical series, resolving University course examinations, etc.).Publicad

Role of NASA's SeaBASS Repository for the Legacy of the EXPORTS Field Biogeochemical Measurements

Role of NASA's SeaBASS repository for the legacy of the EXPORTS field biogeochemical measurements

Generation of pulse trains in the normal dispersion regime of a dielectric medium using a relaxing nonlinearity

We show that modulation-type instability can occur in the normal dispersion regime of a dielectric medium for the case of a relaxing self-focusing nonlinearity. This instability leads to the generation of pulse trains with almost no pedestal when periodic boundary conditions are applied. © 1991 American Institute of PhysicsThis work was supported by the Joint Services Optical Program of the Air Force Office of Scientific Research and the Army Research Office, the Army Research Office (DAAL03-88-KOO66), and J. M. Soto-Crespo acknowl- edges a grant from the Ministerio de Education y Ciencia, Spain.Peer Reviewe

Recent activity of the Be/X-ray binary system SAX J2103.5+4545

Aims. We present a multiwavelength study of the Be/X-ray binary system SAX J2103.5+4545 with the goal of better characterizing the transient behaviour of this source. Methods. SAX J2103.5+4545 was observed by Swift-XRT four times in 2007 from April 25 to May 5, and during quiescence in 2012 August 31. In addition, this source has been monitored from the ground-based astronomical observatories of El Teide (Tenerife, Spain), Roque de los Muchachos (La Palma, Spain) and Sierra Nevada (Granada, Spain) since 2011 August, and from the TUBITAK National Observatory (Antalya, Turkey) since 2009 June. We have performed spectral and photometric temporal analyses in order to investigate the different states exhibited by SAX J2103.5+4545. Results. In X-rays, an absorbed power law model provided the best fit for all the XRT spectra. An iron-line feature at ~6.42 keV was present in all the observations except for that taken during quiescence in 2012. The photon indexes are consistent with previous studies of SAX J2103.5+4545 in high/low luminosity states. Pulsations were found in all the XRT data from 2007 (2.839(2) mHz; MJD 54222.02), but not during quiescence. Both optical outbursts in 2010 and 2012 lasted for about 8/9 months (as the one in 2007 probably did and the current one in 2014 might do) and were most probably caused by mass ejection events from the Be star that eventually fed the circumstellar disc. All of these outbursts started about 3 months before the triggering of the X-ray activity, and about the same period before the maximum of the H_alpha line equivalent width (in emission) was reached at only ~ -5 \AA. In this work we found that the global correlation between the BV variability and the X-ray intensity was also observed at longer wavelengths in the IR domain.Comment: 11 pages, 7 figures, and online material (2 tables). Submitted to A&A in 2014 Januar

The influence of early literacy competences on later mathematical attainment: Evidence from TIMSS & PIRLS 2011

Children’s competence levels in numeracy and literacy before or at school onset are good predictors of their attainment over the school years. Nevertheless, there are large differences in the level of numeracy and literacy knowledge among children at school entry. This initial knowledge gap has long-lasting negative consequences for the poor performers. Here we used international secondary data from the PIRLS&TIMSS 2011 as well as TIMSS 2011, including background data collected with the Learning to Read Survey, to identify early literacy practices that predict later mathematical attainment. Previous studies conducted using the same dataset have reported that early numeracy and literacy abilities before school onset (as reported by parents) are associated with students’ later mathematical and reading attainment, respectively. Nevertheless recent theoretical frameworks of early mathematical development include certain literacy skills as an independent predictors of mathematical performance. Using ordinary least square regression models we found that early numeracy competences consistently predicted later mathematical attainment while the effects of early literacy competences were variable and not always significant for the individual countries. Results also showed a stronger influence of early reading abilities than of early writing abilities on later mathematical attainment. The identified effects were independent of children’s gender, home resources for learning, parents’ highest education and occupation level, student years of pre-school attendance and early numeracy abilities. This report complements and extents previous body of research by determining the relative impact that early literacy skills have on later mathematical attainment across EU countries. Findings highlight the importance of including numeracy and literacy practices in the preprimary curriculum as well as the challenges of implementing ECEC curricula on the basis of identified best practices from international research