Chiral asymmetry during the EWPT from CP-violating scattering off bubble walls

We compute a net electric current during a first order EWPT arising from the asymmetric propagation of fermion chiral modes due to a CP-violating interaction with the Higgs. The interaction is quantified in terms of a CP-violating phase in the bubble wall that separate both false and true vacuum phases. We comment on the possibility of this current to generate a seed magnetic field and its implications for primordial magne- togenesis in the early Universe.Comment: To appear in the proceedings of the XLVII of the International Symposium of Multiparticle Dynamics, Tlaxcala, Mexico, September 10-15, 201

Studying mathematics students’ learning experiences in Challenge-based education

This paper is of methodological nature. We present the empirical research methodology of a study that focuses on student learning experiences, in particular of mathematics students in an innovative learning environment, such as Challenge-based Education (CBE) at a Dutch university of technology. In this study, we present the case study of CBE in an innovative mathematics course on modelling, the mathematics “Modelling Week”. We draw attention to the methodology used to study this modelling course, where we investigated students' learning experiences in a monodisciplinary CBE-oriented master course. We explain the design of the study and the associated data collection strategies regarding students' use of resources (Schematic Representation of Resource system- SRRS) and their learning processes. In the poster presentation, we will show selected results that come from the different instruments to help us understand student learning experiences in innovative/CBE related mathematics courses.</p

Spontaneous Symmetry Breakdown in non-relativistic Quantum Mechanics

The advantages and disadvantages of some pedagogical non-relativistic quantum-mechanical models, used to illustrate spontaneous symmetry breakdown, are discussed. A simple quantum-mechanical toy model (a spinor on the line, subject to a magnetostatic interaction) is presented, that exhibits the spontaneous breakdown of an internal symmetry.Comment: 19 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1111.1213. Equations (30) and (31) have been corrected. Other minor correction

Social Networks, Emotions, and Education: Design and Validation of e-COM, a Scale of Socio-Emotional Interaction Competencies among Adolescents

Socio-emotional competencies play an essential role in personal development as they are associated with highly prosocial behavior and low aggressiveness. An individual who is online manages his/her emotions in a specific manner. Thus, it is highly relevant to analyze and evaluate online socio-emotional competencies. Until now, however, no instruments had been defined or developed for that purpose. This study’s objective was thus to design and validate a questionnaire for the evaluation of socio-emotional competencies in virtual contexts, and to analyze eventual differences according to gender and academic year. Using the model developed by Bisquerra and Pérez (2007) as a theoretical framework, the competencies posited therein were transferred to an online environment. The questionnaire was filled out by 888 adolescents ages 12 to 17 (48% males, M = 13.83 years old, DT = 1.27), all residents of Aragón, Spain. On the basis of their responses, structure analysis, validation, and reliability were carried out. Confirmatory factor analysis (CFA) yielded a five-dimensional structure with good fit and internal consistency. The five resulting dimensions evaluate (1) emotional e-conscience, (2) emotional e-autonomy, (3) emotional e-regulation, (4) e-self-control of impulsiveness, and (5) social e-competency. Differences among genders were observed in the categories of emotional e-conscience and social e-competency. Furthermore, the results of this study show that online emotional expression does not imply emotional competency. These results represent an advance in the field of emotional education. © 2022 by the authors. Licensee MDPI, Basel, Switzerland

Gluon polarization tensor and dispersion relation in a weakly magnetized medium

We study the polarization and dispersion properties of gluons moving within a weakly magnetized background at one-loop order. To this end, we show two alternative derivations of the charged fermion propagator in the weak field expansion and use this expression to compute the lowest order magnetic field correction to the gluon polarization tensor. We explicitly show that, in spite of its cumbersome appearance, the gluon polarization tensor is transverse as required by gauge invariance. We also show that none of the three polarization modes develops a magnetic mass and that gluons propagate along the light cone, non withstanding that Lorentz invariance is lost due to the presence of the magnetic field. By comparing with the expression for the gluon polarization tensor valid to all orders in the magnetic field, the existence of a second solution, corresponding to a finite gluon mass, is shown to be spurious and an artifact of the lowest order approximation in the field strength. We also study the strength of the polarization modes for real gluons. We conclude that, provided the spurious solutions are discarded, the lowest order approximation to the gluon polarization and dispersion properties is good as long as the field strength is small compared to the loop fermion mass.Comment: 14 pages, 6 figures. Ref.[35] was adde