The boson-boson bound state in the massive Schwinger model

We use (fermion) mass perturbation theory for the massive Schwinger model to compute the boson-boson bound state mass in lowest order. For small fermion mass the lowest possible Fock state turns out to give the main contribution and leads to a second order result for the bound state mass.Comment: 8 pages, LATEX file, 7 figures, needed macro: psbox.te

Schwinger terms in Weyl-invariant and diffeomorphism-invariant 2-d scalar field theory

We compute the Schwinger terms in the energy-momentum tensor commutator algebra from the anomalies present in Weyl-invariant and diffeomorphism-invariant effective actions for two dimensional massless scalar fields in a gravitational background. We find that the Schwinger terms are not sensitive to the regularization procedure and that they are independent of the background metric.Comment: 8 pages, RevTex. Conclusions and references added. To appear in Phys. Rev.

The volume of a soliton

There exists, in general, no unique definition of the size (volume, area, etc., depending on dimension) of a soliton. Here we demonstrate that the geometric volume (area etc.) of a soliton is singled out in the sense that it exactly coincides with the thermodynamical or continuum-mechanical volume. In addition, this volume may be defined uniquely for rather arbitrary solitons in arbitrary dimensions

Nonsymmetrized Correlations in Quantum Noninvasive Measurements

A long-standing problem in quantum mesoscopic physics is which operator order corresponds to noise expressions like , where I(\omega) is the measured current at frequency \omega. Symmetrized order describes a classical measurement while nonsymmetrized order corresponds to a quantum detector, e.g., one sensitive to either emission or absorption of photons. We show that both order schemes can be embedded in quantum weak-measurement theory taking into account measurements with memory, characterized by a memory function which is independent of a particular experimental detection scheme. We discuss the resulting quasiprobabilities for different detector temperatures and how their negativity can be tested on the level of second-order correlation functions already. Experimentally, this negativity can be related to the squeezing of the many-body state of the transported electrons in an ac-driven tunnel junction.Comment: 5+2 pages, 1 figur

Ordered Rings and Fields

We introduce ordered rings and fields following Artin-Schreier’s approach using positive cones. We show that such orderings coincide with total order relations and give examples of ordered (and non ordered) rings and fields. In particular we show that polynomial rings can be ordered in (at least) two different ways [8, 5, 4, 9]. This is the continuation of the development of algebraic hierarchy in Mizar [2, 3].Schwarzweller Christoph - Institute of Informatics, University of Gdansk, Gdansk, PolandGrzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990.Adam Grabowski, Artur Korniłowicz, and Adam Naumowicz. Four decades of Mizar. Journal of Automated Reasoning, 55(3):191-198, 2015.Adam Grabowski, Artur Korniłowicz, and Christoph Schwarzweller. On algebraic hierarchies in mathematical repository of Mizar. In M. Ganzha, L. Maciaszek, and M. Paprzycki, editors, Proceedings of the 2016 Federated Conference on Computer Science and Information Systems (FedCSIS), volume 8 of Annals of Computer Science and Information Systems, pages 363-371, 2016.Nathan Jacobson. Lecture Notes in Abstract Algebra, III. Theory of Fields and Galois Theory. Springer-Verlag, 1964.Manfred Knebusch and Claus Scheiderer. Einf¨uhrung in die reelle Algebra. Vieweg-Verlag, 1989.Andrzej Kondracki. Basic properties of rational numbers. Formalized Mathematics, 1(5): 841-845, 1990.Eugeniusz Kusak, Wojciech Leonczuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335-342, 1990.Alexander Prestel. Lectures on Formally Real Fields. Springer-Verlag, 1984.Knut Radbruch. Geordnete K¨orper. Lecture Notes, University of Kaiserslautern, Germany, 1991.Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990

Functional imaging in neuroenhancement

Increasingly demanding tasks, competition for competence and time pressure have lead to attempts of neuroenhancement (NE) among students and employees. NE is designed to increase cognitive abilities by modulating brain processes through the use of pharmaceutics. Substances such as methylphenidate (i.e. Ritalin®), modafinil (i.e. Vigil®) and caffeine are common candidates for enhancing cognitive abilities such as executive functions, inhibition control and memory (Wood et al., 2014). Until today, there has not been a study investigating memory enhancement in functional magnetic resonance imaging (fMRI). Using fMRI, 48 healthy participants were tested for drug effects in a single-dose, double-blind and randomized study using a declarative memory task. During memory recall, methylphenidate dependent deactivations were found in the fronto-parietal and temporal regions whereas no BOLD alterations were seen during encoding. On the behavioral level, methylphenidate enhanced subject’s judgement confidence and performance during late recall. During encoding, caffeine led to deactivations in the precentral gyrus whereas modafinil did not show any BOLD signal alterations at all. To get an overview over the existing neuroimaging literature, all published studies on the effects of the aforementioned drug agents were reviewed in addition. In line with this study, previous publications emphasized that methylphenidate seems to alter task relevant brain areas. Our main finding of task-related deactivations may point to the reduction of task-functioning distractions. Thereby, we conclude a drug-dependent increase of efficiency in data processing.Zunehmende Arbeitsbelastung, erhöhter Zeitdruck und größere Verantwortung haben dazu geführt, dass für Studenten und Arbeitnehmer das Phänomen Neuroenhancement (NE) eine zunehmende Relevanz erlangt hat. Darunter wird die Steigerung der kognitiven Leistung durch pharmazeutischen Eingriff auf zentralnervöse Prozesse verstanden. Substanzen wie z.B. Methylphenidat (Ritalin®), Modafinil (Vigil®) und Koffein gelten als aussichtsreiche Kandidaten zur Leistungssteigerung, die möglicherweise Einfluss auf kognitive Prozesse, wie z.B. Exekutive Funktionen, Inhibitionskontrolle und Gedächtnis ausüben können (Wood et al., 2014). Keine bisher publizierte Studie hat den Fokus auf neuronale Korrelate der deklarativen Gedächtnissteigerung gelegt. Aus dem Grund sind zusätzlich alle bisher veröffentlichten bildgebenden Studien zu Methylphenidat, Modafinil und Koffein zu einer strukturierten Übersicht zusammengefasst worden. Mittels funktionaler Magnetresonanztomographie (fMRT) wurden 48 gesunde Probanden, doppelt verblindet und randomisiert auf Steigerung der deklarativen Gedächtnisleistung getestet. Obwohl die Wirksamkeit der drei Substanzen ausführlich für klinische Patientenpopulationen untersucht wurde, gibt es kaum Wissen über die möglichen behavioralen und neuronalen Auswirkungen auf gesunde, erwachsene Menschen. Entgegen der Erwartung, dass die getesteten Substanzen klassische Gedächtnis assoziierte Regionen aktivieren, wurden unterschiedliche substanzspezifische Effekte gefunden. Wahrend des Abrufs von Gedächtnisinhalten deaktivierte Methylphenidat fronto-parietale und temporale Regionen. Dagegen führte die Applikation von Koffein zu einer verringerten BOLD Antwort im Gyrus Präcentralis während der Lernphase. Modafinil führte zu keiner Veränderung im Vergleich zu Placebo. Auf Verhaltensebene förderte Methylphenidat den späten Abruf von Gedächtnisinhalten, wohingegen die beiden anderen Substanzen keine Effekte hinsichtlich der Lernleistung vorwiesen. Vor dem Hintergrund bisheriger bildgebender Studien zeigt die vorliegende Arbeit, dass Neuroenhancement neben der Aktivierung leistungsrelevanter Gehirnregionen auch durch Reduzierung von störenden Einwirkungen funktionieren kann und damit womöglich die Effektivität der Informationsverarbeitung erhöht