Die Rolle von Hopfkategorien und Operaden in störungstheoretischen Quantenfeldtheorien

Die Vorhersagen störungstheoretischer Quantenfeldtheorienzeigen eine gute Übereinstimmung mit experimentellgemessenen Werten. Bei diesen störungstheoretischenBerechnungen treten allerdings Ultraviolettdivergenzen auf,die keine physikalische Interpretation der Ergebnisseermöglichen. Durch Renormierung dieser Theorien erhält manjedoch berechnbare Ergebnisse mit hoher experimentellerVorhersagekraft. Der Renormierungsvorgang kann durch eineHopfalgebra, die sogenannte 'Hopfalgebra der Wurzelbäume',beschrieben werden.Die vorliegende Arbeit leistet einen Beitrag für weitereUntersuchungen dieser Hopfalgebrenstruktur und Bestimmungneuer mathematischer Methoden zur Beschreibung desRenormierungsvorgangs. Dazu wird die algebraische Strukturvon Renormierung aus der Sicht der Kategorientheorie und derTheorie von Operaden untersucht.Aus Sicht der Kategorientheorie lassen sich die den Renormierungsprozess beschreibenden mathematischen Größen ineiner Kategorie zusammenfassen. Eine additive Strukturermöglicht dabei die Berücksichtigung beliebigerRenormierungsschemata. Auf dieser Kategorie kann einassoziativitätsverletzendes Produkt definiert werden, wobeidie Verletzung durch einen sogenannten 'Assoziator'kontrolliert werden kann. Die Struktur wird auf die einerHopfkategorie erweitert, so daß eine kategorientheoretischeUntersuchung des Renormierungsprozesses ermöglicht wird.Diese Hopfkategorie wird aus Sicht von Renormierunginterpretiert, wobei Beispielrechnungen die definierteStruktur verdeutlichen.Aus algebraischer Sicht kann aufgrund der graphischenDarstellung des Operadenproduktes eine Bijektivität zwischenWurzelbäumen und Operaden gezeigt werden. Auf diesenOperaden kann wiederum eine Hopfalgebrenstruktur definiertwerden. Beispiele verdeutlichen diese Bijektivität.

(De)colonization through topophilia: Marjorie Kinnan Rawlings’s life and work in Florida

(De)colonization Through Topophilia: Marjorie Kinnan Rawlings’s Life and Work in Florida attempts to reveal the author’s intimate connection to and mental growth through her place, namely the Cross Creek environs, and its subsequent effect on her writing. In 1928, Marjorie Kinnan Rawlings and her first husband Charles Rawlings came to Cross Creek, Florida. They bought the shabby farmhouse on Cross Creek Road, trying to be both, writers and farmers. However, while Charles Rawlings was unable to write in the backwoods of the Florida Interior, Rawlings found her literary voice and entered a symbiotic, reciprocal relationship with the natural world of the Cracker frontier. Her biographical preconditions – a childhood spent in the rural area of Rock Creek, outside of Washington D. C. - and a father who had instilled in her a sense of place or topophilia, enabled her to overcome severe marriage tensions and the hostile climate women writers faced during the Depression era. Nature as a helping ally and as an “undomesticated”(1) space/place is a recurrent motif throughout most of Rawlings’s Florida literature. At a time when writing the American landscape/documentary and the extraction of the self from texts was the prevalent literary genre, Marjorie Kinnan Rawlings inscribed herself into her texts. However, she knew that the American public was not yet ready for a ‘feminist revolt’, but was receptive of the longtime ‘inaudible’ voices from America’s regions, especially with regard to urban poverty and a homeward yearning during the Depression years. Fusing with the dynamic eco-consciousness of her Cracker friends and neighbors, Rawlings wrote in the literary category of regionalism enabling her to pursue three of her major aims: an individuated self, a self that assimilated with the ‘master narratives’ of her time and the recognition of the Florida Cracker and Scrub region. The first part of this dissertation briefly introduces the largely unknown and underestimated writer Marjorie Kinnan Rawlings, providing background information on her younger years, the relationship toward her family and other influential persons in her life. Furthermore, it takes a closer look at the literary category of regionalism and Rawlings’s use of ‘place’ in her writings. The second part is concerned with the ‘region’ itself, the state of Florida. It focuses on the natural peculiarities of the state’s Interior, the scrub and hammock land around her Cracker hamlet as well as the unique culture of the Florida Cracker. Part IV is concerned with the analysis of her four Florida books. The author is still widely related to the ever-popular novel The Yearling (1938). South Moon Under (1933) and Golden Apples (1935), her first two novels, have not been frequently republished and have subsequently fallen into oblivion. Cross Creek (1942), Rawlings’s last Florida book, however, has recently gained renewed popularity through its use in classes on nature writers and the non-fiction essay but it requires and is here re-evaluated as the author’s (relational) autobiography. The analysis through place is brought to completion in this work and seems to intentionally close the circle of Rawlings’s Florida writings. It exemplifies once more that detachment from place is impossible for Rawlings and that the intermingling of life and place in literature, is essential for the (re)creation of her identity. Cross Creek is therefore not only one of Rawlings’s greatest achievements; it is more importantly the key to understanding the author’s self and her fiction. Through the ‘natural’ interrelationship of place and self and by looking “mutually outward and inward,”(2) Marjorie Kinnan Rawlings finds her literary voice, a home and ‘a room of her own’ in which to write and come to consciousness. Her Florida literature is not only product but also medium and process in her assessment of her identity and self. _____________ (1) Alaimo, Stacy. Undomesticated Ground: Recasting Nature as Feminist Space (Ithaca: Cornell UP, 2000) 23. (2) Libby, Brooke. “Nature Writing as Refuge: Autobiography in the Natural World” Reading Under the Sign of Nature. New Essays in Ecocriticism. Ed. John Tallmadge and Henry Harrington. (Salt Lake City: The U of Utah P, 2000) 200.

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.