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.

Brand formative design - development and assessment of product design from a future, brand and consumer perspective

With this dissertation research we investigate intersections between design and marketing and in this respect, which factors do contribute that a product design becomes brand formative. We have developed a Brand Formative Design (BFD) framework, which investigates individual design features in a holistic, comparable, brand relevant, and consumer specific context. We discuss what kinds of characteristics contribute to BFD but also illuminate how they should be applied and examine: rnA holistic framework leading to Brand Formative Design. Identification and assessment of BFD Drivers. The dissection of products into three Distinctive Design Levels. The detection of surprising design preferences. The appropriate degree of scheme deviation with evolutionary design. Simulated BFD development processes with three different products and the integration of consumers. Future oriented objectification, comparability and assessment of design. Recommendations for the management of design in a brand specific context. Design is a product feature, which contributes significantly to the success of products. However, the development of new design contains challenges. Design can hardly be objectified; many people have an opinion concerning the attractiveness of new products but cannot formulate their future preferences. Product design is widely developed based on intuition, which can be difficult for the management of design. Here the concept of Brand Formative Design can provide a framework which contributes to structure, objectify, develop and assess new evolutionary design in brand and future relevant contexts, but also integrates consumers and their preferences without restricting creativity too much.