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.

Nanoparticular iron complex drugs for parenteral administration - physicochemical characterization, biological distribution and pharmacological safety

Iron deficiency is the most common deficiency disease worldwide with many patients who require intravenous iron. Within the last years new kind of parenteral iron complexes as well as generic preparations entered the market. There is a high demand for methods clarifying benefit to risk profiles of old and new iron complexes. It is also necessary to disclose interchangeability between originator and intended copies to avoid severe anaphylactic and anaphylactoid side reaction and assure equivalence of therapeutic effect.rnrnThe investigations presented in this work include physicochemical characterization of nine different parenteral iron containing non-biological complex drugs. rnWe developed an in-vitro assay, which allows the quantification of labile iron in the different complexes and thus it is a useful tool to estimate the pharmaclogical safety regarding iron related adverse drug events. This assay additionally allowed the estimation of complex stability by evaluation of degradation kinetics at the applied conditions.rnrnAn in-ovo study was performed to additionally compare different complexes in respect to body distribution. This in combination with complex stability information allowed the risk estimation of potential local acute and chronic reactions to iron overload.rnrnInformation obtained by the combination of the methods within this work are helpful to estimate the safety and efficacy profile of different iron containing non-biological complex drugs. rnrnPhysicochemical differences between the complexes were demonstrated in respect to size of the inorganic fraction, size and size distribution of the complete particles, structure of the inorganic iron fraction, morphology of the complexes and charge of the complexes. And furthermore significant differences in the biological behavior of different complexes were demonstrated. rnrnThe combination of complex stability and biodistribution as well as the combination of structure, size and stability represent helpful tools for the physicochemical characterization of iron containing non-biological complex drugs and for the estimation of pharmacological safety. This work thus represents an up to date summary of some relevant methods for the characterization of intravenous iron complex drugs in respect to pharmaceutical quality, pharmacological safety and aspects of efficacy. rnrnProspectively, it is worthwhile that the methods within this work will contribute to the development and/or characterization of iron containing nanoparticular formulations with beneficial efficacy and safety profiles.rn