Konstruktion und Analyse einer funktionalen Renormierungsgruppengleichung für Gravitation im Einstein-Cartan-Zugang

Während das Standardmodell der Elementarteilchenphysik eine konsistente, renormierbare Quantenfeldtheorie dreier der vier bekannten Wechselwirkungen darstellt, bleibt die Quantisierung der Gravitation ein bislang ungelöstes Problem. In den letzten Jahren haben sich jedoch Hinweise ergeben, nach denen metrische Gravitation asymptotisch sicher ist. Das bedeutet, daß sich auch für diese Wechselwirkung eine Quantenfeldtheorie konstruieren läßt. Diese ist dann in einem verallgemeinerten Sinne renormierbar, der nicht mehr explizit Bezug auf die Störungstheorie nimmt. Zudem sagt dieser Zugang, der auf der Wilsonschen Renormierungsgruppe beruht, die korrekte mikroskopische Wirkung der Theorie voraus. Klassisch ist metrische Gravitation auf dem Niveau der Vakuumfeldgleichungen äquivalent zur Einstein-Cartan-Theorie, die das Vielbein und den Spinzusammenhang als fundamentale Variablen verwendet. Diese Theorie besitzt allerdings mehr Freiheitsgrade, eine größere Eichgruppe, und die zugrundeliegende Wirkung ist von erster Ordnung. Alle diese Eigenschaften erschweren eine zur metrischen Gravitation analoge Behandlung.rnrnIm Rahmen dieser Arbeit wird eine dreidimensionale Trunkierung von der Art einer verallgemeinerten Hilbert-Palatini-Wirkung untersucht, die neben dem Laufen der Newton-Konstante und der kosmologischen Konstante auch die Renormierung des Immirzi-Parameters erfaßt. Trotz der angedeuteten Schwierigkeiten war es möglich, das Spektrum des freien Hilbert-Palatini-Propagators analytisch zu berechnen. Auf dessen Grundlage wird eine Flußgleichung vom Propertime-Typ konstruiert. Zudem werden geeignete Eichbedingungen gewählt und detailliert analysiert. Dabei macht die Struktur der Eichgruppe eine Kovariantisierung der Eichtransformationen erforderlich. Der resultierende Fluß wird für verschiedene Regularisierungsschemata und Eichparameter untersucht. Dies liefert auch im Einstein-Cartan-Zugang berzeugende Hinweise auf asymptotische Sicherheit und damit auf die mögliche Existenz einer mathematisch konsistenten und prädiktiven fundamentalen Quantentheorie der Gravitation. Insbesondere findet man ein Paar nicht-Gaußscher Fixpunkte, das Anti-Screening aufweist. An diesen sind die Newton-Konstante und die kosmologische Konstante jeweils relevante Kopplungen, wohingegen der Immirzi-Parameter an einem Fixpunkt irrelevant und an dem anderen relevant ist. Zudem ist die Beta-Funktion des Immirzi-Parameters von bemerkenswert einfacher Form. Die Resultate sind robust gegenüber Variationen des Regularisierungsschemas. Allerdings sollten zukünftige Untersuchungen die bestehenden Eichabhängigkeiten reduzieren.

Warped extra dimensions: flavor, precision tests and Higgs physics

In this thesis, the phenomenology of the Randall-Sundrum setup is investigated. In this context models with and without an enlarged SU(2)_L x SU(2)_R x U(1)_X x P_{LR} gauge symmetry, which removes corrections to the T parameter and to the Z b_L \bar b_L coupling, are compared with each other. The Kaluza-Klein decomposition is formulated within the mass basis, which allows for a clear understanding of various model-specific features. A complete discussion of tree-level flavor-changing effects is presented. Exact expressions for five dimensional propagators are derived, including Yukawa interactions that mediate flavor-off-diagonal transitions. The symmetry that reduces the corrections to the left-handed Z b \bar b coupling is analyzed in detail. In the literature, Randall-Sundrum models have been used to address the measured anomaly in the t \bar t forward-backward asymmetry. However, it will be shown that this is not possible within a natural approach to flavor. The rare decays t \to cZ and t \to ch are investigated, where in particular the latter could be observed at the LHC. A calculation of \Gamma_{12}^{B_s} in the presence of new physics is presented. It is shown that the Randall-Sundrum setup allows for an improved agreement with measurements of A_{SL}^s, S_{\psi\phi}, and \Delta\Gamma_s. For the first time, a complete one-loop calculation of all relevant Higgs-boson production and decay channels in the custodial Randall-Sundrum setup is performed, revealing a sensitivity to large new-physics scales at the LHC.

Anwendungen des Komplexe-Masse-Renormierungsschemas in effektiver Feldtheorie

Der erste Teil der vorliegenden Dissertation befasst sich mit der Untersuchung der perturbativen Unitarität im Komplexe-Masse-Renormierungsschema (CMS). Zu diesem Zweck wird eine Methode zur Berechnung der Imaginärteile von Einschleifenintegralen mit komplexen Massenparametern vorgestellt, die im Grenzfall stabiler Teilchen auf die herkömmlichen Cutkosky-Formeln führt. Anhand einer Modell-Lagrangedichte für die Wechselwirkung eines schweren Vektorbosons mit einem leichten Fermion wird demonstriert, dass durch Anwendung des CMS die Unitarität der zugrunde liegenden S-Matrix im störungstheoretischen Sinne erfüllt bleibt, sofern die renormierte Kopplungskonstante reell gewählt wird. Der zweite Teil der Arbeit beschäftigt sich mit verschiedenen Anwendungen des CMS in chiraler effektiver Feldtheorie (EFT). Im Einzelnen werden Masse und Breite der Deltaresonanz, die elastischen elektromagnetischen Formfaktoren der Roperresonanz, die elektromagnetischen Formfaktoren des Übergangs vom Nukleon zur Roperresonanz sowie Pion-Nukleon-Streuung und Photo- und Elektropionproduktion für Schwerpunktsenergien im Bereich der Roperresonanz berechnet. Die Wahl passender Renormierungsbedingungen ermöglicht das Aufstellen eines konsistenten chiralen Zählschemas für EFT in Anwesenheit verschiedener resonanter Freiheitsgrade, so dass die aufgeführten Prozesse in Form einer systematischen Entwicklung nach kleinen Parametern untersucht werden können. Die hier erzielten Resultate können für Extrapolationen von entsprechenden Gitter-QCD-Simulationen zum physikalischen Wert der Pionmasse genutzt werden. Deshalb wird neben der Abhängigkeit der Formfaktoren vom quadrierten Impulsübertrag auch die Pionmassenabhängigkeit des magnetischen Moments und der elektromagnetischen Radien der Roperresonanz untersucht. Im Rahmen der Pion-Nukleon-Streuung und der Photo- und Elektropionproduktion werden eine Partialwellenanalyse und eine Multipolzerlegung durchgeführt, wobei die P11-Partialwelle sowie die Multipole M1- und S1- mittels nichtlinearer Regression an empirische Daten angepasst werden.

Quantum Einstein gravity - advancements of heat kernel-based renormalization group studies

The asymptotic safety scenario allows to define a consistent theory of quantized gravity within the framework of quantum field theory. The central conjecture of this scenario is the existence of a non-Gaussian fixed point of the theory's renormalization group flow, that allows to formulate renormalization conditions that render the theory fully predictive. Investigations of this possibility use an exact functional renormalization group equation as a primary non-perturbative tool. This equation implements Wilsonian renormalization group transformations, and is demonstrated to represent a reformulation of the functional integral approach to quantum field theory.rnAs its main result, this thesis develops an algebraic algorithm which allows to systematically construct the renormalization group flow of gauge theories as well as gravity in arbitrary expansion schemes. In particular, it uses off-diagonal heat kernel techniques to efficiently handle the non-minimal differential operators which appear due to gauge symmetries. The central virtue of the algorithm is that no additional simplifications need to be employed, opening the possibility for more systematic investigations of the emergence of non-perturbative phenomena. As a by-product several novel results on the heat kernel expansion of the Laplace operator acting on general gauge bundles are obtained.rnThe constructed algorithm is used to re-derive the renormalization group flow of gravity in the Einstein-Hilbert truncation, showing the manifest background independence of the results. The well-studied Einstein-Hilbert case is further advanced by taking the effect of a running ghost field renormalization on the gravitational coupling constants into account. A detailed numerical analysis reveals a further stabilization of the found non-Gaussian fixed point.rnFinally, the proposed algorithm is applied to the case of higher derivative gravity including all curvature squared interactions. This establishes an improvement of existing computations, taking the independent running of the Euler topological term into account. Known perturbative results are reproduced in this case from the renormalization group equation, identifying however a unique non-Gaussian fixed point.rn

Hunting for warped extra dimensions via loop-induced processes

This thesis is on loop-induced processes in theories with warped extra dimensions where the fermions and gauge bosons are allowed to propagate in the bulk, while the Higgs sector is localized on or near the infra-red brane. These so-called Randall-Sundrum (RS) models have the potential to simultaneously explain the hierarchy problem and address the question of what causes the large hierarchies in the fermion sector of the Standard Model (SM). The Kaluza-Klein (KK) excitations of the bulk fields can significantly affect the loop-level processes considered in this thesis and, hence, could indirectly indicate the existence of warped extra dimensions. The analytical part of this thesis deals with the detailed calculation of three loop-induced processes in the RS models in question: the Higgs production process via gluon fusion, the Higgs decay into two photons, and the flavor-changing neutral current b → sγ. A comprehensive, five-dimensional (5D) analysis will show that the amplitudes of the Higgs processes can be expressed in terms of integrals over 5D propagators with the Higgs-boson profile along the extra dimension, which can be used for arbitrary models with a compact extra dimension. To this end, both the boson and fermion propagators in a warped 5D background are derived. It will be shown that the seemingly contradictory results for the gluon fusion amplitude in the literature can be traced back to two distinguishable, not smoothly-connected incarnations of the RS model. The investigation of the b → sγ transition is performed in the KK decomposed theory. It will be argued that summing up the entire KK tower leads to a finite result, which can be well approximated by a closed, analytical expression.rnIn the phenomenological part of this thesis, the analytic results of all relevant Higgs couplings in the RS models in question are compared with current and in particular future sensitivities of the Large Hadron Collider (LHC) and the planned International Linear Collider. The latest LHC Higgs data is then used to exclude significant portions of the parameter space of each RS scenario. The analysis will demonstrate that especially the loop-induced Higgs couplings are sensitive to KK particles of the custodial RS model with masses in the multi tera-electronvolt range. Finally, the effect of the RS model on three flavor observables associated with the b → sγ transition are examined. In particular, we study the branching ratio of the inclusive decay B → X_s γ

Comparative functional analysis of factors controlling glial differentiation in Drosophila and mouse

The present study is a comparative functional analysis of three factors controlling glial differentiation in mouse (Fyn Src kinase, hnRNPF/H and NG2) and their homologues in Drosophila (Src42A and 64B, Glorund and Kon-tiki (Kon)). In Drosophila, mutations in any of these genes were not associated with major embryonic neurodevelopmental phenotypes. Src kinases and Glorund were shown to be ubiquitously expressed, whereas kon mRNA showed selective expression in muscles as well as in central and peripheral glia. Kon was also shown to be expressed in L3 larvae with high levels of protein accumulation at the neuromuscular junction (NMJ) and in muscles in the form of speckles. Knockdown of kon in glia resulted in NMJ phenotypes, mainly characterized by a significant increase in bouton number and a reduction in α-Konecto staining intensity at the NMJ. From the three glial layers ensheathing the peripheral nervous system, subperineurial glial showed to be the one contributing the most to kon knockdown dependent NMJ phenotypes, while perineurial glia only had a minor role. The knockdown of kon in glia also showed to affect Glutamate receptor subunit (α-GluRIIA) clustering in the postsynapse, same as microtubule arrangement in the presynapse, as seen by α-Futsch pattern interruptions and alterations. kon knockdown in glia also resulted in impaired axonal transport, as seen by the accumulation of Bruchpilot-positive vesicles along the nerves, abnormal formation of neuronal derived protrusions and swellings, filled with vacuole-like structures. Glia number along the peripheral nerves is also reduced as consequence of kon knockdown. Muscle derived Kon was shown to accumulate at the NMJ and play a role in bouton consolidation and to interfere with phagocytosis of ghost boutons. NMJ bouton and branch number was also significantly increased in Kon overexpression in glia. The overexpression of Kon in glia also resulted in a massive elongation of the ventral nerve cord, which served in a suppressor screen to identify intracellular interaction partners of Kon in glia. It was shown that Kon is processed in glia and preliminary results indicate that the metalloendopeptidase Kuzbanian (the fly homologue of ADAM10) may play a role in the shedding of Konecto. In the present work, Kon is shown as a multifunctional gene with various roles in glia-neuron and glia-neuron-muscle interaction.

Hadronic correlation functions with quark-disconnected contributions in lattice QCD

One of the fundamental interactions in the Standard Model of particle physicsrnis the strong force, which can be formulated as a non-abelian gauge theoryrncalled Quantum Chromodynamics (QCD). rnIn the low-energy regime, where the QCD coupling becomes strong and quarksrnand gluons are confined to hadrons, a perturbativernexpansion in the coupling constant is not possible.rnHowever, the introduction of a four-dimensional Euclidean space-timernlattice allows for an textit{ab initio} treatment of QCD and provides arnpowerful tool to study the low-energy dynamics of hadrons.rnSome hadronic matrix elements of interest receive contributionsrnfrom diagrams including quark-disconnected loops, i.e. disconnected quarkrnlines from one lattice point back to the same point. The calculation of suchrnquark loops is computationally very demanding, because it requires knowledge ofrnthe all-to-all propagator. In this thesis we use stochastic sources and arnhopping parameter expansion to estimate such propagators.rnWe apply this technique to study two problems which relay crucially on therncalculation of quark-disconnected diagrams, namely the scalar form factor ofrnthe pion and the hadronic vacuum polarization contribution to the anomalousrnmagnet moment of the muon.rnThe scalar form factor of the pion describes the coupling of a charged pion torna scalar particle. We calculate the connected and the disconnected contributionrnto the scalar form factor for three different momentum transfers. The scalarrnradius of the pion is extracted from the momentum dependence of the form factor.rnThe use ofrnseveral different pion masses and lattice spacings allows for an extrapolationrnto the physical point. The chiral extrapolation is done using chiralrnperturbation theory ($chi$PT). We find that our pion mass dependence of thernscalar radius is consistent with $chi$PT at next-to-leading order.rnAdditionally, we are able to extract the low energy constant $ell_4$ from thernextrapolation, and ourrnresult is in agreement with results from other lattice determinations.rnFurthermore, our result for the scalar pion radius at the physical point isrnconsistent with a value that was extracted from $pipi$-scattering data. rnThe hadronic vacuum polarization (HVP) is the leading-order hadronicrncontribution to the anomalous magnetic moment $a_mu$ of the muon. The HVP canrnbe estimated from the correlation of two vector currents in the time-momentumrnrepresentation. We explicitly calculate the corresponding disconnectedrncontribution to the vector correlator. We find that the disconnectedrncontribution is consistent with zero within its statistical errors. This resultrncan be converted into an upper limit for the maximum contribution of therndisconnected diagram to $a_mu$ by using the expected time-dependence of therncorrelator and comparing it to the corresponding connected contribution. Wernfind the disconnected contribution to be smaller than $approx5%$ of thernconnected one. This value can be used as an estimate for a systematic errorrnthat arises from neglecting the disconnected contribution.rn

Suasa senonum. Progetto per un nuovo parco archeologico

Il sito archeologico di Suasa è stato oggetto di una lunga campagna di scavi iniziata negli anni sessanta, che ha portato alla pubblicazione di diversi saggi e ha stimolato l’attenzione di numerosi studiosi nel corso degli ultimi anni. Questo interesse, però, rimane un fenomeno ristretto agli addetti al settore e non vede una vera riflessione sul piano turistico. Suasa, infatti, rimane un gioiello culturale scarsamente conosciuto nel territorio ed escluso dai principali percorsi turistici. Il primo obiettivo del nostro intervento è quello di porre l’attenzione su un’area di così grande interesse e avvicinare le persone, esperti di storia e non, all’antica città, in modo che questa possa acquisire una nuova vita e ritrovare una sua valenza nel territorio. Il primo passo in questa direzione è stato quello di mettere in relazione il parco archeologico con gli altri siti archeologici della zona inserendolo in un sistema di offerta culturale volto all’esplorazione e all’approfondimento del territorio marchigiano e della sua storia. La posizione di Suasa sul fiume Cesano, inoltre, risulta particolarmente favorevole ad una integrazione dell’area con i percorsi cicloturistici, in quanto fornisce la possibilità di creare un parco fluviale di supporto a queste nuove tratte di collegamento, così come alle esistenti, andando ad aggiungere valore all’area. Questo elemento risulterà un fattore chiave per la collocazione e la definizione del visitor center del parco archeologico, il quale fa del rapporto tra il sito archeologico e il territorio il suo punto fondante. L’organizzazione del parco richiama quella che era l’organizzazione della città romana, cercando di restituire al visitatore non tanto l’immagine precisa di una ricostruzione, ma la logica e la successione degli spazi che l’impianto urbano poteva assumere. Gli interventi sulle emergenze, quindi, sono realizzati seguendo una coerenza progettuale e materica volta a minimizzare l’impatto sull’archeologia e nel contesto.

Form as Three Questions

Emmanuel Levinas once stated that his “project” was “the deformalization of time.” Jacques Derrida, too, laid out a framework of thinking about time that dismissed the relevance of the past and the future and even belittled the significance of/or ourability to know anything about the “present.” Both of these thinkers discussed such notions of time in the context of complex theories of representation—or of the “relationship” between signifier and signified. This thesis considers the connection between theories of time and conceptions of the “relationship” between signifier andsignified to ask how Hamlet’s role as the agent of the plot in Hamlet relates to his own consideration of his “relationship” to the ghost as a potentially empty signifier.

Panel 5: Memories and Fantasies of Genocides

Panel 5: Memories and Fantasies of Genocides Mark Hobbs, University of Winchester, United Kingdom: "Destroying Memory: The Attack on Holocaust Conscience and Memory in Britain 1942-2011" Download paper (login required) Kristen Dyck, Washington State University: "Hate Rock: White-Power Music in International Perspective" Download paper (login required) Audrey Mallet, Concordia University, Canada: “The Old Jewish Strangler and Other Ghost Stories: Poles’ Struggle to Come to Terms with the Holocaust” Download paper (login required) Tea Rozman-Clark, University of Nova Gorica, Slovenia: “Oral History: UN Peacekeepers and Local Population of the UN Safe Area Srebrenica” Download paper (login required) Chair: Kimberly Partee and Kathrin Haurand, Clark UniversityComment: Cecilie Felicia Stokholm Banke, Danish Institute for International Studies, Copenhagen

Geology and Ore Deposits of the Butte-Highland Gold Mine.

The Butte-Highland mine is situated at the head of Basin Creek, in the Highland mining district, Silver Bow County, about 14 miles south of Butte. The tunnel portal and present surface plant are at an elevation of about 7350 feet above sea level, facing westward across the head of Basin Creek valley. The "ghost" mining town of Highland lies a mile to the east, near the forks of Fish Creek. Access to the mine is obtained at present from Beaudine's siding, 12 miles west. The property may also be reached, with difficulty, over poor roads from Limekiln hill, or from Moose Creek.

Bitmap Movement Detection: HDR for Dynamic Scenes

Exposure Fusion and other HDR techniques generate well-exposed images from a bracketed image sequence while reproducing a large dynamic range that far exceeds the dynamic range of a single exposure. Common to all these techniques is the problem that the smallest movements in the captured images generate artefacts (ghosting) that dramatically affect the quality of the final images. This limits the use of HDR and Exposure Fusion techniques because common scenes of interest are usually dynamic. We present a method that adapts Exposure Fusion, as well as standard HDR techniques, to allow for dynamic scene without introducing artefacts. Our method detects clusters of moving pixels within a bracketed exposure sequence with simple binary operations. We show that the proposed technique is able to deal with a large amount of movement in the scene and different movement configurations. The result is a ghost-free and highly detailed exposure fused image at a low computational cost.

Impacto de la afirmación del nuevo modo de acumulación y reproducción del capital en la ciudad de Catriel

En el presente artículo intentaremos mostrar cómo las políticas aplicadas en la Argentina desde 1976, han influído sobre las ciudades/pueblos del país. Específicamente, se intentará ilustrar por medio de un caso concreto, la Ciudad de Catriel, Río Negro, la dinámica de la desconexión de los pueblos-fantasmas de sus circuitos productivos. Así, intentaremos demostrar cómo los cambios estructurales que generaron el nuevo régimen de acumulación y reproducción del capital y su reafirmación, principalmente a través del proceso privatizador de principios de los años ´90, produjeron la polarización de los distintos agentes productivos involucrados en la actividad petrolera.

Temperature and salinity reconstruction for sediment core GeoB3313-1

We reconstructed changes of temperature, salinity, and productivity within the southern Peru-Chile Current during the last 8000 years from a high-resolution sediment core recovered at 41°S using alkenones, isotope ratios of planktic foraminifera, biogenic opal, and organic carbon. Paleotemperatures and paleosalinities reached maximum values at ~5500 years ago and thereafter declined to modern values, whereas paleoproductivity continuously increased throughout the last 8000 years. We ascribe these long-term Holocene trends primarily to latitudinal shifts of the Antarctic Circumpolar Current (ACC). The concurrence with shifts in the position of the Southern Westerlies points to a common response of atmospheric and oceanographic circulation patterns off southern Chile. Millennial- to centennial-scale fluctuations of paleotemperatures and paleosalinities, on the other hand, lag displacements in the position of the Southern Westerlies but reveal a significant correlation to short-term temperature changes in Antarctica, indicating a high-latitude control of the ACC at these timescales.

Sea-surface tempertaure reconstruction of sediment cores from the Southeast Pacific

Applying the alkenone method, we estimated sea-surface temperatures (SSTs) for the past 33 kyr in two marine sediment cores recovered from the continental slope off mid-latitude Chile. The SST record shows an increase of 6.7°C from the last ice age (LIA) to the Holocene climatic optimum, while the temperature contrast between LIA and modern temperatures is only about 3.4°C. The timing and magnitude of the last deglacial warming in the ocean correspond to those observed in South American continental records. According to our SST record, the existence of a Younger Dryas equivalent cooling in the Southeast Pacific is much more uncertain than for the continental climate changes. A warming step of about 2.5°C observed between 8 and 7.5 cal kyr BP may have been linked to the early to mid-Holocene climatic transition (8.2-7.8 cal kyr BP), also described from equatorial Africa and Antarctica. In principal, variations in the latitudinal position of the Southern Pacific Westerlies are considered to be responsible for SST changes in the Peru-Chile current off mid-latitude Chile.