The universal language of Freemasonry

Freimaurer verwenden eine spezielle Art von Kommunikation: Zeichensprache, Metaphern, Symbole, Neologismen, Fachsprachen, rituelle 'Reisen' usw. Untersucht werden soll hier der masonische Anspruch, eine 'Universalsprache' zu besitzen. Das Gerüst dieser Dissertation ist ein Vergleich der ganzen Bandbreite der Freimaurerei - Orden für Männer, Frauen, Jugendliche, Farbige, sowie quasi-masonische Freizeitclubs - mit nachahmerischen Fraternitäten, wie z.B. den frühen amerikanischen Versicherungsgesellschaften und deren Kommunikationsmodellen. Die experimentelle Methode der Autorin schließt die Erforschung freimaurerischer und anderer bruderschaftlicher Quellen der letzten drei Jahrhunderte ein, sowie Besuche freimaurerischer Institutionen und Interviews mit Freimaurern. Diese Aktivitäten führten zu dem Ergebnis, daß - während die Symbole allgemein anwendbar sind - die schriftliche Freimaurersprache nicht in allen Ländern uniform ist. Die ethischen Lehren, die aus der symbolischen Freimaurerkommunikation gezogen werden sollen, haben einen internationalen Standard erreicht. So ist die Freimaurersprache seit der offiziellen Gründung der Freimaurerei im Jahre 1717 immer noch lebendig. Die rituelle Phraseologie der frühen nordamerikanischen Gewerkschaften und Versicherungsgesellschaften hingegen ist entweder verloren gegangen oder stellt nur noch pompöse Worthülsen dar, die sich um ein weltliches Thema - wie Versicherungen - ranken.

Use of computer algebra in the calculation of Feynman diagrams

The increasing precision of current and future experiments in high-energy physics requires a likewise increase in the accuracy of the calculation of theoretical predictions, in order to find evidence for possible deviations of the generally accepted Standard Model of elementary particles and interactions. Calculating the experimentally measurable cross sections of scattering and decay processes to a higher accuracy directly translates into including higher order radiative corrections in the calculation. The large number of particles and interactions in the full Standard Model results in an exponentially growing number of Feynman diagrams contributing to any given process in higher orders. Additionally, the appearance of multiple independent mass scales makes even the calculation of single diagrams non-trivial. For over two decades now, the only way to cope with these issues has been to rely on the assistance of computers. The aim of the xloops project is to provide the necessary tools to automate the calculation procedures as far as possible, including the generation of the contributing diagrams and the evaluation of the resulting Feynman integrals. The latter is based on the techniques developed in Mainz for solving one- and two-loop diagrams in a general and systematic way using parallel/orthogonal space methods. These techniques involve a considerable amount of symbolic computations. During the development of xloops it was found that conventional computer algebra systems were not a suitable implementation environment. For this reason, a new system called GiNaC has been created, which allows the development of large-scale symbolic applications in an object-oriented fashion within the C++ programming language. This system, which is now also in use for other projects besides xloops, is the main focus of this thesis. The implementation of GiNaC as a C++ library sets it apart from other algebraic systems. Our results prove that a highly efficient symbolic manipulator can be designed in an object-oriented way, and that having a very fine granularity of objects is also feasible. The xloops-related parts of this work consist of a new implementation, based on GiNaC, of functions for calculating one-loop Feynman integrals that already existed in the original xloops program, as well as the addition of supplementary modules belonging to the interface between the library of integral functions and the diagram generator.