Geometry of BV quantization and Mathai-Quillen formalism

Il formalismo Mathai-Quillen (MQ) è un metodo per costruire la classe di Thom di un fibrato vettoriale attraverso una forma differenziale di profilo Gaussiano. Lo scopo di questa tesi è quello di formulare una nuova rappresentazione della classe di Thom usando aspetti geometrici della quantizzazione Batalin-Vilkovisky (BV). Nella prima parte del lavoro vengono riassunti i formalismi BV e MQ entrambi nel caso finito dimensionale. Infine sfrutteremo la trasformata di Fourier “odd" considerando la forma MQ come una funzione definita su un opportuno spazio graduato.

Studies of pure rotational spectra of isolated molecules and molecular adducts using pulsed jet Fourier transform microwave (PJ-FTM) spectroscopy

This thesis focuses on studying molecular structure and internal dynamics by using pulsed jet Fourier transform microwave (PJ-FTMW) spectroscopy combined with theoretical calculations. Several kinds of interesting chemical problems are investigated by analyzing the MW spectra of the corresponding molecular systems. First, the general aspects of rotational spectroscopy are summarized, and then the basic theory on molecular rotation and experimental method are described briefly. ab initio and density function theory (DFT) calculations that used in this thesis to assist the assignment of rotational spectrum are also included. From chapter 3 to chapter 8, several molecular systems concerning different kind of general chemical problems are presented. In chapter 3, the conformation and internal motions of dimethyl sulfate are reported. The internal rotations of the two methyl groups split each rotational transition into several components line, allowing for the determination of accurate values of the V3 barrier height to internal rotation and of the orientation of the methyl groups with respect to the principal axis system. In chapter 4 and 5, the results concerning two kinds of carboxylic acid bi-molecules, formed via two strong hydrogen bonds, are presented. This kind of adduct is interesting also because a double proton transfer can easily take place, connecting either two equivalent or two non-equivalent molecular conformations. Chapter 6 concerns a medium strong hydrogen bonded molecular complex of alcohol with ether. The dimer of ethanol-dimethylether was chosen as the model system for this purpose. Chapter 7 focuses on weak halogen…H hydrogen bond interaction. The nature of O-H…F and C-H…Cl interaction has been discussed through analyzing the rotational spectra of CH3CHClF/H2O. In chapter 8, two molecular complexes concerning the halogen bond interaction are presented.

Efficient calculation of gluon amplitudes with n legs and an implementation of parton showers using the dipole formalism

The conventional way to calculate hard scattering processes in perturbation theory using Feynman diagrams is not efficient enough to calculate all necessary processes - for example for the Large Hadron Collider - to a sufficient precision. Two alternatives to order-by-order calculations are studied in this thesis.rnrnIn the first part we compare the numerical implementations of four different recursive methods for the efficient computation of Born gluon amplitudes: Berends-Giele recurrence relations and recursive calculations with scalar diagrams, with maximal helicity violating vertices and with shifted momenta. From the four methods considered, the Berends-Giele method performs best, if the number of external partons is eight or bigger. However, for less than eight external partons, the recursion relation with shifted momenta offers the best performance. When investigating the numerical stability and accuracy, we found that all methods give satisfactory results.rnrnIn the second part of this thesis we present an implementation of a parton shower algorithm based on the dipole formalism. The formalism treats initial- and final-state partons on the same footing. The shower algorithm can be used for hadron colliders and electron-positron colliders. Also massive partons in the final state were included in the shower algorithm. Finally, we studied numerical results for an electron-positron collider, the Tevatron and the Large Hadron Collider.

Statistical mechanics formalism and methods for the analysis of real networks

This thesis provides a thoroughly theoretical background in network theory and shows novel applications to real problems and data. In the first chapter a general introduction to network ensembles is given, and the relations with “standard” equilibrium statistical mechanics are described. Moreover, an entropy measure is considered to analyze statistical properties of the integrated PPI-signalling-mRNA expression networks in different cases. In the second chapter multilayer networks are introduced to evaluate and quantify the correlations between real interdependent networks. Multiplex networks describing citation-collaboration interactions and patterns in colorectal cancer are presented. The last chapter is completely dedicated to control theory and its relation with network theory. We characterise how the structural controllability of a network is affected by the fraction of low in-degree and low out-degree nodes. Finally, we present a novel approach to the controllability of multiplex networks

Aminoxyl radicals - pure organic materials with tunable magnetic and sensing properties

Stabile Radikale haben in vielen Bereichen der Chemie, Physik, Biologie und Biomedizin ihren Nutzen unter Beweis gestellt. Gerade im letzten Jahrzehnt erlebte diese Substanzklasse vor allem wegen den Anwendungsmöglichkeiten von Nitroxiden als Red-Ox-Sensoren oder magnetischen Materialen ein erneutes Interesse. Das erste Kapitel beschäftigt sich mit der grundlegenden Theorie zur Entwicklung magnetischer Materialien. Des Weiteren sollen anhand einiger Beispiele Radikale im Komplex mit paragmagnetischen Metallen, Biradikale und Polyradikale beschrieben werden. rnrnIm zweiten Kapitel soll auf die Synthese von Hybrid Fluorophore-Nitrononyl-Nitroxid und Iminonitroxidradiale, sowie ihre Charakterisierung über IR, CV, EPR und Röntgenstrukturanalyse eingegangen werden. Mittels UV/Vis-Spektroskopie soll hierbei eine mögliche Anwendung als Red-Ox-Sensoren festgestellt werden. Hierbei werden über anschließende PL Untersuchungen eben diese Sensoreigenschaften der dargestellten Radikale bestätigt werden. Vielmehr noch soll die Möglichkeit von Pyren-Pyrazol-Nitronyl-Nitroxid als NO-Nachweis erläutert werden.rnrnFortschritte sowohl im Design als auch in der Analyse von magnetischen Materialen auf der Basis von Nitroxiden ist Thema des dritten Kapitels. Über ein klassisches Ullmann-Protokoll wurden verschiedene Nitronyl-Nitroxid und Iminonitroxid Biradiale mit unterschiedlichen π-Brücken zwischen den Radikalzentren synthetisiert. Magnetische Messungen belegen einen relativ starken antiferromagnetischen intramolekularen Austausch für den Großteil der untersuchten Biradikale. Hierbei zeigte sich jedoch eine außergewöhnliche hohe Austausch-Kupplung für 3,3‘-Diazatolandiradikale, die nur über die Existenz von starken intermolekularen Wechselwirkungen beschrieben werden kann. Durch Kombination der Röntgenstrukturanalyse mit DFT Berechnungen konnte im Fall des Tolan verbrückten Diradikals 87c die Intra-Dimer-Kupplung auf Jintra = -8,6 K bestimmt werden. Ein direkter Beweis für eine intermolekulare Anlagerung von Jinter ~- 2K konnte über eine Tieftemperatur AC-Messung von 87c erhalten werden. Bezüglich der magnetischen Messung ist das Nitronyl Biradikal 87c ein vielversprechender Kandidat für einen rein organischen eindimensionalen Quantenmagnet.rnrnAbsicht dieser Untersuchungen ist es zu zeigen, dass über die Kombination verschiedener struktureller Elemente die Sensitivität von Nitroxid basierten Sensoren und die intramolekulare Austauschwechselwirkung in π-konjugierten Spinsystemen so eingestellt werden kann, dass es möglich ist Moleküle mit gezielten Sensor- oder Magneteigenschaften zu entwickeln. rn

Accessible information in a two-qubit system through the quantum steering ellipsoids formalism

Capire come ottenere l'informazione accessibile, cioè quanta informazione classica si può estrarre da un processo quantistico, è una delle questioni più intricate e affascinanti nell'ambito della teoria dell'informazione quantistica. Nonostante l'importanza della nozione di informazione accessibile non esistono metodi generali per poterla calcolare, esistono soltanto dei limiti, i più famosi dei quali sono il limite superiore di Holevo e il limite inferiore di Josza-Robb-Wootters. La seguente tesi fa riferimento a un processo che coinvolge due parti, Alice e Bob, che condividono due qubits. Si considera il caso in cui Bob effettua misure binarie sul suo qubit e quindi indirizza lo stato del qubit di Alice in due possibili stati. L'obiettivo di Alice è effettuare la misura ottimale nell'ottica di decretare in quale dei due stati si trova il suo qubit. Lo strumento scelto per studiare questo processo va sotto il nome di 'quantum steering ellipsoids formalism'. Esso afferma che lo stato di un sistema di due qubit può essere descritto dai vettori di Bloch di Alice e Bob e da un ellissoide nella sfera di Bloch di Alice generato da tutte le possibili misure di Bob. Tra tutti gli stati descritti da ellissoidi ce ne sono alcuni che manifestano particolari proprietà, per esempio gli stati di massimo volume. Considerando stati di massimo volume e misure binarie si è riuscito a trovare un limite inferiore all'informazione accessibile per un sistema di due qubit migliore del limite inferiore di Josza-Robb-Wootters. Un altro risultato notevole e inaspettato è che l'intuitiva e giustificata relazione 'distanza tra i punti nell'ellissoide - mutua informazione' non vale quando si confrontano coppie di punti ''vicine'' tra loro e lontane dai più distanti.

Investigations on asymptotic safety of metric, tetrad and Einstein-Cartan gravity

Among the different approaches for a construction of a fundamental quantum theory of gravity the Asymptotic Safety scenario conjectures that quantum gravity can be defined within the framework of conventional quantum field theory, but only non-perturbatively. In this case its high energy behavior is controlled by a non-Gaussian fixed point of the renormalization group flow, such that its infinite cutoff limit can be taken in a well defined way. A theory of this kind is referred to as non-perturbatively renormalizable. In the last decade a considerable amount of evidence has been collected that in four dimensional metric gravity such a fixed point, suitable for the Asymptotic Safety construction, indeed exists. This thesis extends the Asymptotic Safety program of quantum gravity by three independent studies that differ in the fundamental field variables the investigated quantum theory is based on, but all exhibit a gauge group of equivalent semi-direct product structure. It allows for the first time for a direct comparison of three asymptotically safe theories of gravity constructed from different field variables. The first study investigates metric gravity coupled to SU(N) Yang-Mills theory. In particular the gravitational effects to the running of the gauge coupling are analyzed and its implications for QED and the Standard Model are discussed. The second analysis amounts to the first investigation on an asymptotically safe theory of gravity in a pure tetrad formulation. Its renormalization group flow is compared to the corresponding approximation of the metric theory and the influence of its enlarged gauge group on the UV behavior of the theory is analyzed. The third study explores Asymptotic Safety of gravity in the Einstein-Cartan setting. Here, besides the tetrad, the spin connection is considered a second fundamental field. The larger number of independent field components and the enlarged gauge group render any RG analysis of this system much more difficult than the analog metric analysis. In order to reduce the complexity of this task a novel functional renormalization group equation is proposed, that allows for an evaluation of the flow in a purely algebraic manner. As a first example of its suitability it is applied to a three dimensional truncation of the form of the Holst action, with the Newton constant, the cosmological constant and the Immirzi parameter as its running couplings. A detailed comparison of the resulting renormalization group flow to a previous study of the same system demonstrates the reliability of the new equation and suggests its use for future studies of extended truncations in this framework.

Traduzione dall’italiano al francese di un brano tratto dal romanzo "Fuori piove, dentro pure, passo a prenderti?" di Antonio Dikele Distefano

Dans ce mémoire, il a été question pour moi de faire la traduction, de l’italien vers le français, d’un extrait de l’œuvre "Fuori piove, dentro pure, passo a prenderti ?" de Antonio Dikele Distefano, qui s’intitule "Kaaris, Or noir". C’est un texte dans lequel l’auteur parle de la discrimination dont il est victime et de la rigueur de ses parents, sa mère en particulier. On met également en exergue le rejet social, car c’est plus ou moins le thème central de l’œuvre. Ainsi, j’ai organisé et articulé mon travail selon les techniques de commentaire, d’analyse et de traduction qui m’ont été enseignées tout au long de mon parcours académique. Vous en trouverez et en apprécierez l’illustration dans les pages qui suivent.

A double-blind, randomized study comparing pure chromated glycerin with chromated glycerin with 1% lidocaine and epinephrine for sclerotherapy of telangiectasias and reticular veins

Chromated glycerin (CG) is an effective, although painful, sclerosing agent for telangiectasias and reticular leg veins treatment.

Effect of laser soldering irradiation on covalent bonds of pure collagen

Laser tissue welding and soldering is being increasingly used in the clinical setting for defined surgical procedures. The exact induced changes responsible for tensile strength are not yet fully investigated. To further improve the strength of the bonding, a better understanding of the laser impact at the subcellular level is necessary. The goal of this study was to analyze whether the effect of laser irradiation on covalent bonding in pure collagen using irradiances typically applied for tissue soldering. Pure rabbit and equine type I collagen were subjected to laser irradiation. In the first part of the study, rabbit and equine collagen were compared using identical laser and irradiation settings. In the second part of the study, equine collagen was irradiated at increasing laser powers. Changes in covalent bonding were studied indirectly using the sodium dodecylsulfate polyacrylamide gel electrophoresis (SDS-PAGE) technique. Tensile strengths of soldered membranes were measured with a calibrated tensile force gauge. In the first experiment, no differences between the species-specific collagen bands were noted, and no changes in banding were found on SDS-PAGE after laser irradiation. In the second experiment, increasing laser irradiation power showed no effect on collagen banding in SDS-PAGE. Finally, the laser tissue soldering of pure collagen membranes showed virtually no determinable tensile strength. Laser irradiation of pure collagen at typical power settings and exposure times generally used in laser tissue soldering does not induce covalent bonding between collagen molecules. This is true for both rabbit and equine collagen proveniences. Furthermore, soldering of pure collagen membranes without additional cellular components does not achieve the typical tensile strength reported in native, cell-rich tissues. This study is a first step in a better understanding of laser impact at the molecular level and might prove useful in engineering of combined collagen-soldering matrix membranes for special laser soldering applications.

Brain atrophy in pure and complicated hereditary spastic paraparesis: a quantitative 3D MRI study

Hereditary spastic paraparesis (HSP) is a heterogeneous group of neurodegenerative disorders with progressive lower limb spasticity, categorized into pure (p-HSP) and complicated forms (c-HSP). The purpose of this study was to evaluate if brain volumes in HSP were altered compared with a control population. Brain volumes were determined in patients suffering from HSP, including both p-HSP (n = 21) and c-HSP type (n = 12), and 30 age-matched healthy controls, using brain parenchymal fractions (BPF) calculated from 3D MRI data in an observer-independent procedure. In addition, the tissue segments of grey and white matter were analysed separately. In HSP patients, BPF were significantly reduced compared with controls both for the whole patient group (P < 0.001) and for both subgroups, indicating considerable brain atrophy. In contrast to controls who showed a decline of brain volumes with age, this physiological phenomenon was less pronounced in HSP. Therefore, global brain parenchyma reduction, involving both grey and white matter, seems to be a feature in both subtypes of HSP. Atrophy was more pronounced in c-HSP, consistent with the more severe phenotype including extramotor involvement. Thus, global brain atrophy, detected by MRI-based brain volume quantification, is a biological marker in HSP subtypes.