Wordline approach to higher spin fields

The main object of this thesis is the analysis and the quantization of spinning particle models which employ extended ”one dimensional supergravity” on the worldline, and their relation to the theory of higher spin fields (HS). In the first part of this work we have described the classical theory of massless spinning particles with an SO(N) extended supergravity multiplet on the worldline, in flat and more generally in maximally symmetric backgrounds. These (non)linear sigma models describe, upon quantization, the dynamics of particles with spin N/2. Then we have analyzed carefully the quantization of spinning particles with SO(N) extended supergravity on the worldline, for every N and in every dimension D. The physical sector of the Hilbert space reveals an interesting geometrical structure: the generalized higher spin curvature (HSC). We have shown, in particular, that these models of spinning particles describe a subclass of HS fields whose equations of motions are conformally invariant at the free level; in D = 4 this subclass describes all massless representations of the Poincar´e group. In the third part of this work we have considered the one-loop quantization of SO(N) spinning particle models by studying the corresponding partition function on the circle. After the gauge fixing of the supergravity multiplet, the partition function reduces to an integral over the corresponding moduli space which have been computed by using orthogonal polynomial techniques. Finally we have extend our canonical analysis, described previously for flat space, to maximally symmetric target spaces (i.e. (A)dS background). The quantization of these models produce (A)dS HSC as the physical states of the Hilbert space; we have used an iterative procedure and Pochhammer functions to solve the differential Bianchi identity in maximally symmetric spaces. Motivated by the correspondence between SO(N) spinning particle models and HS gauge theory, and by the notorious difficulty one finds in constructing an interacting theory for fields with spin greater than two, we have used these one dimensional supergravity models to study and extract informations on HS. In the last part of this work we have constructed spinning particle models with sp(2) R symmetry, coupled to Hyper K¨ahler and Quaternionic-K¨ahler (QK) backgrounds.

Corpus-based teaching of pragmatics

[EN]This paper is a proposal for teaching pragmatics following a corpus-based approach. Corpora have had a high impact on how linguistics is looked at these days. However, teaching linguistics is still traditional in its scope and stays away from a growing tendency of incorporating authentic samples in the theoretical classroom, and so lecturers perpetuate the presentation of the same canonical examples students may find in their textbooks or in other introductory monographs. Our view is that using corpus linguistics, especially corpora freely available in the World Wide Web, will result in a more engaging and fresh look at the course of Pragmatics, while promoting early research in students. This way, they learn the concepts but most importantly how to later identify pragmatic phenomena in real text. Here, we raise our concern with the methodology, presenting clear examples of corpus-based pragmatic activities, and one clear result is the fact that students learn also how to be autonomous in their analysis o f data. In our proposal, we move from more controlled tasks to autonomy. This proposal focuses on students enrolled in the course Pragmática de la Lengua inglesa, currently part of the curriculum in Lenguas Modernas, Universidad de Las Palmas de Gran Canaria.

Analisi genetico-molecolare dei linfomi a cellule T periferiche

Molecular profiling of Peripheral T-cell lymphomas not otherwise specified Peripheral T-cell lymphomas (PTCLs) are a heterogeneous group of tumors that the WHO classification basically subdivides into specified and not otherwise specified (NOS). In Western countries, they represent around 12% of all non-Hodgkin's lymphomas. In particular, PTCL/NOS is the commonest subtype, corresponding to about 60-70% of all T-cell lymphomas. However, it remains a complex entity showing great variety regarding either morphology, immunophenotype or clinical behavior. Specially, the molecular pathology of these tumors is still poorly known. In fact, many alteration were found, but no single genes were demonstrated to have a pathogenetic role. Recently, gene expression profiling (GEP) allowed the identification of PTCL/NOS-associated molecular signatures, leading to better understanding of their histogenesis, pathogenesis and prognostication. Interestingly, proliferation pathways are commonly altered in PTCLs, being highly proliferative cases characterized by poorer prognosis. In this study, we aimed to investigate the possible role in PTCL/NOS pathogenesis of selected molecules, known to be relevant for proliferation control. In particular, we analyzed the cell cycle regulators PTEN and CDKN1B/p27, the NF-kB pathway, and the tyrosin kinase PDGFR. First, we found that PTEN and p27 seem to be regulated in PTCL/NOS as in normal T-lymphocytes, as to what expression and cellular localization are concerned, and do not present structural abnormalities in the vast majority of PTCL/NOS. Secondly, NF-kB pathway appeared to be variably activated in PTCL/NOS. In particular, according to NF-kB gene expression levels, the tumors could be divided into two clusters (C1 and C2). Specially, C1 corresponded to cases presenting with a global down-regulation of the entire pathway, while C2 showed over-expression of genes involved in TNF signaling. Notably, by immunohistochemistry, we showed that either the canonical or the alternative NK-kB pathway were activated in around 40% of cases. Finally, we found PGDFRA to be consistently over-expressed (at mRNA and protein level) and activated in almost all PTCLs/NOS. Noteworthy, when investigating possible causes for PDGFRA deregulation, we had evidences that PDGFR over-expression is due to the absence of miR-152, which appeared to be responsible for PDGFRA silencing in normal T-cells. Furthermore, we could demonstrate that its aberrant activation is sustained by an autocrine loop. Importantly, this is the first case, to the best of our knowledge, of hematological tumor in which tyrosin kinase aberrant activity is determined by deregulated miRNA expression and autocrine loop activation. Taken together, our results provide novel insight in PTCL/NOS pathogenesis by opening new intriguing scenarios for innovative therapeutic interventions.

Studio della trasduzione del Segnale Nucleare Inositide-Dipendente: identificazione di eEF1A2 come nuovo Fosfosubstrato di PKC βI

Introduction Phospholipase Cb1 (PLC-β1) is a key player in the regulation of nuclear inositol lipid signaling and of a wide range of cellular functions, such as proliferation and differentiation (1,2,3). PLCb1 signaling depends on the cleavage of phosphatidylinositol 4,5-bisphosphate and the formation of the second messengers diacylglycerol and Inositol tris-phosphate which activate canonical protein kinase C (cPKC) isoforms. Here we describe a proteomic approach to find out a potential effector of nuclear PLC-b1 dependent signaling during insulin stimulated myogenic differentiation. Methods Nuclear lysates obtained from insulin induced C2C12 myoblasts were immunoprecipitated with anti-phospho-substrate cPKC antibody. Proteins, stained with Comassie blue, were excised, digested and subsequently analysed in LC-MS/MS. For peptide sequence searching, the mass spectra were processed and analyzed using the Mascot MS/MS ion search program with the NCBI database. Western blotting, GST-pull down and co-immunoprecipitation were performed to study the interaction between eEF1A2 and cPKCs. Site direct mutagenesis was performed to confirm the phosphorylated motif recognized by the antibody. Immunofluorescence analysis, GFP-tagged eEF1A2 vector and subcellular fractionation were performed to study nuclear localization and relative distribution of eEF1A2. Results We have previously shown that PLC-β1 is greatly increased at the nuclear level during insulin-induced myoblasts differentiation and that this nuclear localization is essential for induction of differentiation. Thus, nuclear proteins of insulin stimulated C2C12 myoblasts, were immunoprecipitated with an anti-phospho-substrate cPKC antibody. After Electrophoretic gel separation of proteins immunoprecipitated, several molecules were identified by LC-MS/MS. Among these most relevant and unexpected was eukaryotic elongation factor 1 alpha 2 (eEF1A2). We found that eEF1A2 is phosphorylated by PKCb1 and that these two molecules coimmunolocalized at the nucleolar level. eEF1A2 could be phosphorylated in many sites among which both threonine and serine residues. By site direct mutagenesis we demonstrated that it is the serine residue of the motif recognized by the antibody that is specifically phosphorylated by PKCb1. The silencing of PLCb1 gives rise to a reduction of expression and phosphorylation levels of eEF1A2 indicating this molecule as a target of nuclear PLCb1 regulatory network during myoblasts differentiation.

Messung des Wirkungsquerschnitts der Reaktion d(e,e'p)n für fehlende Impulse bis 950 MeV/c und Trennung der longitudinalen und transversalen Reaktionsanteile für fehlende Impulse bis 350 MeV/c

Die Dreispektrometeranlage der A1-Kollaboration am MainzerElektronenbeschleuniger MAMI wurde im Rahmen dieser Arbeitverwendet, um die Elektrodisintegration des Deuteronsmit Hilfe der Reaktion d(e,e'p)n zu untersuchen. Im ersten Teil der Untersuchungen wurde die longitudinaleund transversale Strukturfunktion aus denWirkungsquerschnitten extrahiert. Die Zentralwerte derkinematischen Parameter waren dabei wie folgt eingestellt:1) Der Impulsübertrag wurde für alle Messungen auf 450 MeV/c festgelegt.2) Das Proton wurde in Richtung des Impulsübertrags nachgewiesen (parallele Kinematik).3) Vier Einstellungen des Energieübertrags, und damit korrespondierend des fehlenden Impulses, wurden gemessen: Energieübertrag / MeV : 128, 226, 289, 360. Fehlender Impuls / (MeV/c): 50, 200, 275, 350.4) Für jede dieser vier Kinematiken wurden mindestens drei verschiedene Einschußenergien bzw. Elektronenstreuwinkel eingestellt, um die Strukturfunktionen mit Hilfe der Rosenbluth-Separation zu bestimmen. Im zweiten Teil der Untersuchungen wurde derWirkungsquerschnitt für hohe fehlende Impulse bestimmt.Dessen Zentralwerte wurden von 30 MeV/c bis 906 MeV/cvariiert, wobei für die hohen fehlenden Impulse das Protonweit außerhalb der Richtung des Impulsübertragesnachzuweisen war. Der Energieübertrag lag dabei zwischen180 MeV und 600 MeV und der Impulsübertrag zwischen608 MeV/c und 698 MeV/c.

Complex higher spins, Weyl invariance and tractors

In this thesis work I analyze higher spin field theories from a first quantized perspective, finding in particular new equations describing complex higher spin fields on Kaehler manifolds. They are studied by means of worldline path integrals and canonical quantization, in the framework of supersymmetric spinning particle theories, in order to investigate their quantum properties both in flat and curved backgrounds. For instance, by quantizing a spinning particle with one complex extended supersymmetry, I describe quantum massless (p,0)-forms and find a worldline representation for their effective action on a Kaehler background, as well as exact duality relations. Interesting results are found also in the definition of the functional integral for the so called O(N) spinning particles, that will allow to study real higher spins on curved spaces. In the second part, I study Weyl invariant field theories by using a particular mathematical framework known as tractor calculus, that enable to maintain at each step manifest Weyl covariance.

QCD-Strahlungskorrekturen zu Polarisationsobservablen in semileptonischen Zerfällen schwerer Quarks

In dieser Arbeit werden die QCD-Strahlungskorrekturen in erster Ordnung der starken Kopplungskonstanten für verschiedene Polarisationsobservablen zu semileptonischen Zerfällen eines bottom-Quarks in ein charm-Quark und ein Leptonpaar berechnet. Im ersten Teil wird der Zerfall eines unpolarisierten b-Quarks in ein polarisiertes c-Quark sowie ein geladenes Lepton und ein Antineutrino im Ruhesystem des b-Quarks analysiert. Es werden die Strahlungskorrekturen für den unpolarisierten und den polarisierten Beitrag zur differentiellen Zerfallsrate nach der Energie des c-Quarks berechnet, wobei das geladene Lepton als leicht angesehen und seine Masse daher vernachlässigt wird. Die inklusive differentielle Rate wird durch zwei Strukturfunktionen in analytischer Form dargestellt. Anschließend werden die Strukturfunktionen und die Polarisation des c-Quarks numerisch ausgewertet. Nach der Einführung der Helizitäts-Projektoren befaßt sich der zweite Teil mit dem kaskadenartigen Zerfall eines polarisierten b-Quarks in ein unpolarisiertes c-Quark und ein virtuelles W-Boson, welches weiter in ein Paar leichter Leptonen zerfällt. Es werden die inklusiven Strahlungskorrekturen zu drei unpolarisierten und fünf polarisierten Helizitäts-Strukturfunktionen in analytischer Form berechnet, welche die Winkelverteilung für die differentielle Zerfallsrate nach dem Viererimpulsquadrat des W-Bosons beschreiben. Die Strukturfunktionen enthalten die Informationen sowohl über die polare Winkelverteilung zwischen dem Spinvektor des b-Quarks und dem Impulsvektor des W-Bosons als auch über die räumliche Winkelverteilung zwischen den Impulsen des W-Bosons und des Leptonpaars. Der Impuls und der Spinvektor des b-Quarks sowie der Impuls des W-Bosons werden im b-Ruhesystem analysiert, während die Impulse des Leptonpaars im W-Ruhesystem ausgewertet werden. Zusätzlich zu den genannten Strukturfunktionen werden noch die unpolarisierte und die polarisierte skalare Strukturfunktion angegeben, die in Anwendungen bei hadronischen Zerfällen eine Rolle spielen. Anschließend folgt eine numerische Auswertung aller berechneten Strukturfunktionen. Im dritten Teil werden die nichtperturbativen HQET-Korrekturen zu inklusiven semileptonischen Zerfällen schwerer Hadronen diskutiert, welche ein b-Quark enthalten. Sie beschreiben hadronische Korrekturen, die durch die feste Bindung des b-Quarks in Hadronen hervorgerufen werden. Es werden insgesamt fünf unpolarisierte und neun polarisierte Helizitäts-Strukturfunktionen in analytischer Form angegeben, die auch eine endliche Masse und den Spin des geladenen Leptons berücksichtigen. Die Strukturfunktionen werden sowohl in differentieller Form in Abhängigkeit des quadrierten Viererimpulses des W-Bosons als auch in integrierter Form präsentiert. Zum Schluß werden die zuvor erhaltenen Resultate auf die semi-inklusiven hadronischen Zerfälle eines polarisierten Lambda_b-Baryons oder eines B-Mesons in ein D_s- oder ein D_s^*-Meson unter Berücksichtigung der D_s^*-Polarisation angewandt. Für die zugehörigen Winkelverteilungen werden die inklusiven QCD- und die nichtperturbativen HQET-Korrekturen zu den Helizitäts-Strukturfunktionen in analytischer Form angegeben und anschließend numerisch ausgewertet.

Theoretical investigation of the interaction of a polymer film with a nanoparticle

The fundamental aim in our investigation of the interaction of a polymer film with a nanoparticle is the extraction of information on the dynamics of the liquid using a single tracking particle. In this work two theoretical methods were used: one passive, where the motion of the particle measures the dynamics of the liquid, one active, where perturbations in the system are introduced through the particle. In the first part of this investigation a thin polymeric film on a substrate is studied using molecular dynamics simulations. The polymer is modeled via a 'bead spring' model. The particle is spheric and non structured and is able to interact with the monomers via a Lennard Jones potential. The system is micro-canonical and simulations were performed for average temperatures between the glass transition temperature of the film and its dewetting temperature. It is shown that the stability of the nanoparticle on the polymer film in the absence of gravity depends strongly on the form of the chosen interaction potential between nanoparticle and polymer. The relative position of the tracking particle to the liquid vapor interface of the polymer film shows the glass transition of the latter. The velocity correlation function and the mean square displacement of the particle has shown that it is caged when the temperature is close to the glass transition temperature. The analysis of the dynamics at long times shows the coupling of the nanoparticle to the center of mass of the polymer chains. The use of the Stokes-Einstein formula, which relates the diffusion coefficient to the viscosity, permits to use the nanoparticle as a probe for the determination of the bulk viscosity of the melt, the so called 'microrheology'. It is shown that for low frequencies the result obtained using microrheology coincides with the results of the Rouse model applied to the polymer dynamics. In the second part of this investigation the equations of Linear Hydrodynamics are solved for a nanoparticle oscillating above the film. It is shown that compressible liquids have mechanical response to external perturbations induced with the nanoparticle. These solutions show strong velocity and pressure profiles of the liquid near the interface, as well as a mechanical response of the liquid-vapor interface. The results obtained with this calculations can be employed for the interpretation of experimental results of non contact AFM microscopy

Theoretical and implementation aspects in the mechanization of the metatheory of programming languages

Interactive theorem provers are tools designed for the certification of formal proofs developed by means of man-machine collaboration. Formal proofs obtained in this way cover a large variety of logical theories, ranging from the branches of mainstream mathematics, to the field of software verification. The border between these two worlds is marked by results in theoretical computer science and proofs related to the metatheory of programming languages. This last field, which is an obvious application of interactive theorem proving, poses nonetheless a serious challenge to the users of such tools, due both to the particularly structured way in which these proofs are constructed, and to difficulties related to the management of notions typical of programming languages like variable binding. This thesis is composed of two parts, discussing our experience in the development of the Matita interactive theorem prover and its use in the mechanization of the metatheory of programming languages. More specifically, part I covers: - the results of our effort in providing a better framework for the development of tactics for Matita, in order to make their implementation and debugging easier, also resulting in a much clearer code; - a discussion of the implementation of two tactics, providing infrastructure for the unification of constructor forms and the inversion of inductive predicates; we point out interactions between induction and inversion and provide an advancement over the state of the art. In the second part of the thesis, we focus on aspects related to the formalization of programming languages. We describe two works of ours: - a discussion of basic issues we encountered in our formalizations of part 1A of the Poplmark challenge, where we apply the extended inversion principles we implemented for Matita; - a formalization of an algebraic logical framework, posing more complex challenges, including multiple binding and a form of hereditary substitution; this work adopts, for the encoding of binding, an extension of Masahiko Sato's canonical locally named representation we designed during our visit to the Laboratory for Foundations of Computer Science at the University of Edinburgh, under the supervision of Randy Pollack.

Structural and functional analysis of centromeric chromatin

Animal neocentromeres are defined as ectopic centromeres that have formed in non-centromeric locations and avoid some of the features, like the DNA satellite sequence, that normally characterize canonical centromeres. Despite this, they are stable functional centromeres inherited through generations. The only existence of neocentromeres provide convincing evidence that centromere specification is determined by epigenetic rather than sequence-specific mechanisms. For all this reasons, we used them as simplified models to investigate the molecular mechanisms that underlay the formation and the maintenance of functional centromeres. We collected human cell lines carrying neocentromeres in different positions. To investigate the region involved in the process at the DNA sequence level we applied a recent technology that integrates Chromatin Immuno-Precipitation and DNA microarrays (ChIP-on-chip) using rabbit polyclonal antibodies directed against CENP-A or CENP-C human centromeric proteins. These DNA binding-proteins are required for kinetochore function and are exclusively targeted to functional centromeres. Thus, the immunoprecipitation of DNA bound by these proteins allows the isolation of centromeric sequences, including those of the neocentromeres. Neocentromeres arise even in protein-coding genes region. We further analyzed if the increased scaffold attachment sites and the corresponding tighter chromatin of the region involved in the neocentromerization process still were permissive or not to transcription of within encoded genes. Centromere repositioning is a phenomenon in which a neocentromere arisen without altering the gene order, followed by the inactivation of the canonical centromere, becomes fixed in population. It is a process of chromosome rearrangement fundamental in evolution, at the bases of speciation. The repeat-free region where the neocentromere initially forms, progressively acquires extended arrays of satellite tandem repeats that may contribute to its functional stability. In this view our attention focalized to the repositioned horse ECA11 centromere. ChIP-on-chip analysis was used to define the region involved and SNPs studies, mapping within the region involved into neocentromerization, were carried on. We have been able to describe the structural polymorphism of the chromosome 11 centromeric domain of Caballus population. That polymorphism was seen even between homologues chromosome of the same cells. That discovery was the first described ever. Genomic plasticity had a fundamental role in evolution. Centromeres are not static packaged region of genomes. The key question that fascinates biologists is to understand how that centromere plasticity could be combined to the stability and maintenance of centromeric function. Starting from the epigenetic point of view that underlies centromere formation, we decided to analyze the RNA content of centromeric chromatin. RNA, as well as secondary chemically modifications that involve both histones and DNA, represents a good candidate to guide somehow the centromere formation and maintenance. Many observations suggest that transcription of centromeric DNA or of other non-coding RNAs could affect centromere formation. To date has been no thorough investigation addressing the identity of the chromatin-associated RNAs (CARs) on a global scale. This prompted us to develop techniques to identify CARs in a genome-wide approach using high-throughput genomic platforms. The future goal of this study will be to focalize the attention on what strictly happens specifically inside centromere chromatin.

Untersuchungen zur Funktion und Regulation der Rezeptor-Tyrosin-Phosphatase RPTPlambda bei der Entwicklung des Mittel- und Hinterhirns

Der isthmische Organisator liegt an der Grenze zwischen dem sich entwickelnden Mittel- und Hinterhirn und kontrolliert Wachstum und Musterbildung dieser beiden Hirnregionen. In der vorliegenden Arbeit wird die räumliche und zeitliche Expression der Rezeptor-ähnlichen Protein Tyrosin Phosphatase lambda aus dem Huhn (cRPTPλ, auch als cRPTPψ bekannt) während der Entwicklung dieser Struktur beschrieben. Nach einer anfänglich weitläufigen Expression im kaudalen Vorderhirn und in der Mittelhirnregion, beschränkt sich die Expression von cRPTPλ zwischen dem embryonalen Tag E2 und E3.5 auf die ventrale Mittellinie des Neuralrohrs, den Bereich der späteren neuralen Retina und Linse und auf einen schmalen Ring anterior der isthmischen Einschnürung, welcher der molekularen Mittel- / Hinterhirngrenze (MHO) entspricht. Ab dem embryonalen Tag E3.5 wird RPTPλ dann auch im gesamten Mittelhirn gebildet. Um Hinweise auf die Funktion von cRPTPλ zu bekommen, wurde die Regulation dieses Moleküls untersucht. Die Expression von cRPTPλ am MHO wird von dem Fibroblasten Wachstumsfaktor Fgf8 und dem Transkriptionsfaktor Lmx1b, nicht aber von dem sezernierten Glykoprotein Wnt1 induziert. Der Transkriptionsfaktor En-1 unterdrückt die Expression von cRPTPλ am MHO. cRPTPλ-Expression im Mittelhirn wird negativ durch das sezernierte Protein Sonic Hedgehog reguliert, während Lmx1b und En-1 dort keinen Einfluss auf das Expressionsmuster von cRPTPλ haben. Fgf8 und Wnt1 sind maßgeblich an der Regulation von Wachstum und Musterbildung des embryonalen Mittelhirns beteiligt. Funktionelle Studien zu RPTPλ deuten darauf hin, dass dieses Protein als negativer Rückkopplungsmechanismus beider Signalwege wirken kann. RNAi- und Überexpressionsstudien am MHO lieferten Hinweise darauf, dass RPTPλ der Induktion der Wnt1-Expression durch Fgf8 entgegenwirkt. Dies scheint durch Interaktion noch unbekannter Faktoren mit der Juxtamembrandomäne von RPTPλ vermittelt zu werden. Auf das Expressionsmuster von Fgf8 selbst, oder einer Reihe anderer Faktoren, die ebenfalls von Fgf8 reguliert werden, hat RPTPλ allerdings keinen Einfluss. Des Weiteren konnte in dieser Arbeit gezeigt werden, dass eine „künstliche“ Aufrechterhaltung der Expression von cRPTPλ im Mittelhirn zwischen dem embryonalen Tag E2 und E3.5 zu einem stark verkleinerten Mesenzephalon führt. RPTPλ bindet in vivo an β-Catenin, ein zentrales Protein des kanonischen Wnt-Signalweges, und moduliert dadurch vermutlich das Wnt-Signal, welches seinerseits Proliferation im Mesenzephalon fördert. Durch diesen Mechanismus könnte cRPTPλ als „Bremse“ des kanonischen Wnt-Signalweges im Mittelhirn wirken.

Polarization in heavy quark decays

In this thesis I concentrate on the angular correlations in top quark decays and their next--to--leading order (NLO) QCD corrections. I also discuss the leading--order (LO) angular correlations in unpolarized and polarized hyperon decays. In the first part of the thesis I calculate the angular correlation between the top quark spin and the momentum of decay products in the rest frame decay of a polarized top quark into a charged Higgs boson and a bottom quark in Two-Higgs-Doublet-Models: $t(uparrow)rightarrow b+H^{+}$. The decay rate in this process is split into an angular independent part (unpolarized) and an angular dependent part (polar correlation). I provide closed form formulae for the ${mathcal O}(alpha_{s})$ radiative corrections to the unpolarized and the polar correlation functions for $m_{b}neq 0$ and $m_{b}=0$. The results for the unpolarized rate agree with the existing results in the literature. The results for the polarized correlations are new. I found that, for certain values of $tanbeta$, the ${mathcal O}(alpha_s)$ radiative corrections to the unpolarized, polarized rates, and the asymmetry parameter can become quite large. In the second part I concentrate on the semileptonic rest frame decay of a polarized top quark into a bottom quark and a lepton pair: $t(uparrow) to X_b + ell^+ + nu_ell$. I analyze the angular correlations between the top quark spin and the momenta of the decay products in two different helicity coordinate systems: system 1a with the $z$--axis along the charged lepton momentum, and system 3a with the $z$--axis along the neutrino momentum. The decay rate then splits into an angular independent part (unpolarized), a polar angle dependent part (polar correlation) and an azimuthal angle dependent part (azimuthal correlation). I present closed form expressions for the ${mathcal O}(alpha_{s})$ radiative corrections to the unpolarized part and the polar and azimuthal correlations in system 1a and 3a for $m_{b}neq 0$ and $m_{b}=0$. For the unpolarized part and the polar correlation I agree with existing results. My results for the azimuthal correlations are new. In system 1a I found that the azimuthal correlation vanishes in the leading order as a consequence of the $(V-A)$ nature of the Standard Model current. The ${mathcal O}(alpha_{s})$ radiative corrections to the azimuthal correlation in system 1a are very small (around 0.24% relative to the unpolarized LO rate). In system 3a the azimuthal correlation does not vanish at LO. The ${mathcal O}(alpha_{s})$ radiative corrections decreases the LO azimuthal asymmetry by around 1%. In the last part I turn to the angular distribution in semileptonic hyperon decays. Using the helicity method I derive complete formulas for the leading order joint angular decay distributions occurring in semileptonic hyperon decays including lepton mass and polarization effects. Compared to the traditional covariant calculation the helicity method allows one to organize the calculation of the angular decay distributions in a very compact and efficient way. This is demonstrated by the specific example of the polarized hyperon decay $Xi^0(uparrow) to Sigma^+ + l^- + bar{nu}_l$ ,($l^-=e^-, mu^-$) followed by the nonleptonic decay $Sigma^+ to p + pi^0$, which is described by a five--fold angular decay distribution.

Pseudodifferential operators on Hilbert space riggings with associated psi *-algebras and generalized Hörmander classes

The present thesis is concerned with certain aspects of differential and pseudodifferential operators on infinite dimensional spaces. We aim to generalize classical operator theoretical concepts of pseudodifferential operators on finite dimensional spaces to the infinite dimensional case. At first we summarize some facts about the canonical Gaussian measures on infinite dimensional Hilbert space riggings. Considering the naturally unitary group actions in $L^2(H_-,gamma)$ given by weighted shifts and multiplication with $e^{iSkp{t}{cdot}_0}$ we obtain an unitary equivalence $F$ between them. In this sense $F$ can be considered as an abstract Fourier transform. We show that $F$ coincides with the Fourier-Wiener transform. Using the Fourier-Wiener transform we define pseudodifferential operators in Weyl- and Kohn-Nirenberg form on our Hilbert space rigging. In the case of this Gaussian measure $gamma$ we discuss several possible Laplacians, at first the Ornstein-Uhlenbeck operator and then pseudo-differential operators with negative definite symbol. In the second case, these operators are generators of $L^2_gamma$-sub-Markovian semi-groups and $L^2_gamma$-Dirichlet-forms. In 1992 Gramsch, Ueberberg and Wagner described a construction of generalized Hörmander classes by commutator methods. Following this concept and the classical finite dimensional description of $Psi_{ro,delta}^0$ ($0leqdeltaleqroleq 1$, $delta< 1$) in the $C^*$-algebra $L(L^2)$ by Beals and Cordes we construct in both cases generalized Hörmander classes, which are $Psi^*$-algebras. These classes act on a scale of Sobolev spaces, generated by our Laplacian. In the case of the Ornstein-Uhlenbeck operator, we prove that a large class of continuous pseudodifferential operators considered by Albeverio and Dalecky in 1998 is contained in our generalized Hörmander class. Furthermore, in the case of a Laplacian with negative definite symbol, we develop a symbolic calculus for our operators. We show some Fredholm-criteria for them and prove that these Fredholm-operators are hypoelliptic. Moreover, in the finite dimensional case, using the Gaussian-measure instead of the Lebesgue-measure the index of these Fredholm operators is still given by Fedosov's formula. Considering an infinite dimensional Heisenberg group rigging we discuss the connection of some representations of the Heisenberg group to pseudo-differential operators on infinite dimensional spaces. We use this connections to calculate the spectrum of pseudodifferential operators and to construct generalized Hörmander classes given by smooth elements which are spectrally invariant in $L^2(H_-,gamma)$. Finally, given a topological space $X$ with Borel measure $mu$, a locally compact group $G$ and a representation $B$ of $G$ in the group of all homeomorphisms of $X$, we construct a Borel measure $mu_s$ on $X$ which is invariant under $B(G)$.

Mixtures of colloidal rods and spheres in bulk and in confinement

When non-adsorbing polymers are added to an isotropic suspension of rod-like colloids, the colloids effectively attract each other via depletion forces. Monte Carlo simulations were performed to study the phase diagram of such rod-polymer mixtures. The colloidal rods were modelled as hard spherocylinders; the polymers were described as spheres of the same diameter as the rods. The polymers may overlap with no energy cost, while overlap of polymers and rods is forbidden. In this thesis the emphasis was on the depletion effects caused by the addition of spheres on the isotropic phase of rod-like particles. Although most of the present experimental studies consider systems close to or beyond the isotropic-nematic transition, the isotropic phase with depletion interactions turns out to be a not less interesting topic. First, the percolation problem was studied in canonical simulations of a system of hard rods and soft spheres, where the amount of depletant was kept low to prevent phase separation of the mixture. The lowering of the percolation threshold seen in experiment is confirmed to be due to the depletion interactions. The local changes in the structure of the fluid of rods, which were measured in the simulations, indicated that the depletion forces enhance local alignment and aggregation of the rods. Then, the phase diagram of isotropic-isotropic demixing of short spherocylinders was calculated using grand canonical ensemble simulations with successive umbrella sampling. Finite size scaling analysis allowed to estimate the location of the critical point. Also, estimates for the interfacial tension between the coexisting isotropic phases and analyses of its power-law behaviour on approach of the critical point are presented. The obtained phase diagram was compared to the predictions of the free volume theory. After an analysis of the bulk, the phase behaviour in confinement was studied. The critical point of gas-liquid demixing is shifted to higher concentrations of rods and smaller concentrations of spheres due to the formation of an orientationally ordered surface film. If the separation between the walls becomes very small, the critical point is shifted back to smaller concentrations of rods because the surface film breaks up. A method to calculate the contact angle of the liquid-gas interface with the wall is introduced and the wetting behaviour on the approach to the critical point is analysed.

Studio del ruolo della Protein chinasi B/Akt nella migrazione di Cellule Staminali Mesenchimali umane

Le cellule staminali/stromali mesenchimali umane (hMSC) sono attualmente applicate in diversi studi clinici e la loro efficacia è spesso legata alla loro capacità di raggiungere il sito d’interesse. Poco si sa sul loro comportamento migratorio e i meccanismi che ne sono alla base. Perciò, questo studio è stato progettato per comprendere il comportamento migratorio delle hMSC e il coinvolgimento di Akt, nota anche come proteina chinasi B. L’espressione e la fosforilazione della proteinchinasi Akt è stata studiata mediante Western blotting. Oltre al time-lapse in vivo imaging, il movimento cellulare è stato monitorato sia mediante saggi tridimensionali, con l’uso di transwell, che mediante saggi bidimensionali, attraverso la tecnica del wound healing. Le prove effettuate hanno rivelato che le hMSC hanno una buona capacità migratoria. E’ stato osservato che la proteinchinasi B/Akt ha elevati livelli basali di fosforilazione in queste cellule. Inoltre, la caratterizzazione delle principali proteine di regolazione ed effettrici, a monte e a valle di Akt, ha permesso di concludere che la cascata di reazioni della via di segnale anche nelle hMSC segue un andamento canonico. Specifici inibitori farmacologici sono stati utilizzati per determinare il potenziale meccanismo coinvolto nella migrazione cellulare e nell'invasione. L’inibizione della via PI3K/Akt determina una significativa riduzione della migrazione. L’utilizzo di inibitori farmacologici specifici per le singole isoforme di Akt ha permesso di discriminare il ruolo diverso di Akt1 e Akt2 nella migrazione delle hMSC. E’ stato infatti dimostrato che l'inattivazione di Akt2, ma non quella di Akt1, diminuisce significativamente la migrazione cellulare. Nel complesso i risultati ottenuti indicano che l'attivazione di Akt2 svolge un ruolo critico nella migrazione della hMSC; ulteriori studi sono necessari per approfondire la comprensione del fenomeno. La dimostrazione che l’isoforma Akt2 è necessaria per la chemiotassi diretta delle hMSC, rende questa chinasi un potenziale bersaglio farmacologico per modulare la loro migrazione.