Nontopological Solitons in Abelian Gauge Theories Coupled to U(1) x U(1) Symmetric Scalar Fields

In a series of recent works, Ishihara and Ogawa have investigated nontopological solitons (Q-balls) in a spontaneously broken Abelian gauge theory coupled to two complex scalar fields. The present paper extends their investigations to the most general U(1) x U(1) symmetric quartic potential. Also, a new class of charged Q-ball solutions with vanishing self-interaction terms is investigated and some of their remarkable properties are exhibited.We thank Professor Hideki Ishihara for correspondence concerning the numerical methods used in Refs. [19,20]. We acknowledge the support of the Spanish Ministerio de Ciencia, Innovacion y Universidades (Grant No. PCI2018-092896) and the EU (QuantERA Controlling EPR and Bell correlations in Bose-Einstein condensates

Charge Screening in the Abelian Higgs Model

In the Abelian Higgs model electric (and magnetic) fields of external charges (and currents) are screened by the scalar field. In this contribution, complementing recent investigations of Ishihara and Ogawa, we present a detailed investigation of charge screening using a perturbative approach with the charge strength as an expansion parameter. It is shown how perfect global and remarkably good local screening can be derived from Gauss' theorem, and the asymptotic form of the fields far from the sources. The perturbative results are shown to compare favourably to the numerical onesa.L. acknowledges the support of the Spanish Ministerio de Ciencia, Innovacion y Universidades (Grant No. PCI2018-092896) and the EU (QuantERA CEBBEC

Label-Free Optical Detection of Biomolecular Translocation through Nanopore Arrays

In recent years, nanopores have emerged as exceptionally promising single-molecule sensors due to their ability to detect biomolecules at subfemtomole levels in a label-free manner. Development of a high-throughput nanopore-based biosensor requires multiplexing of nanopore measurements. Electrical detection, however, poses a challenge, as each nanopore circuit must be electrically independent, which requires complex nanofluidics and embedded electrodes. Here, we present an optical method for simultaneous measurements of the ionic current across an array of solid-state nanopores, requiring no additional fabrication steps. Proof-of-principle experiments are conducted that show simultaneous optical detection and characterization of ssDNA and dsDNA using an array of pores. Through a comparison with electrical measurements, we show that optical measurements are capable of accessing equivalent transmembrane current information

Results reverses records

119 p.; 16 cm

Near-Representations of Finite Groups

A near-representation of a group G is a map M : G ! GL(V ), where V is a complex linear space and M gh M g M h for all g; h 2 G, i.e. M is approximately a homomorphism. Analogously to the representation theory of nite groups, we investigate the properties of nearrepresentations and show that they are equivalent to unitary nearrepresentations, and can be split to stably irreducible constituents

The Investigation of Interlaminar Failures Caused by Production Parameters in Case of Additive Manufactured Polymers

The use of three-dimensional (3D) printing technologies is an ever-growing solution. The product realized in many cases is applicable not only for visual aid, or model, but for tool, or operating element, or as an implant for medical use. For correct calculation, a proper model that is based on the theory of elasticity is necessary. The basis of this kind of model is the knowledge of the exact material properties. The PLA filament has been used to perform this study for matrix material. Our presumption is that the different layers do not fuse completely, and they do not fill up the space available. The failures between the layers and the deposited filaments and the layer arrangement could be the reason for the direction-dependent material properties of the 3D printed objects. Based on our investigation, we can conclude that the increase of the layer thickness and printing speed adversely affect the mechanical properties of the product