The massless two-loop two-point function and zeta functions in counterterms of Feynman diagrams

The main part of this thesis describes a method of calculating the massless two-loop two-point function which allows expanding the integral up to an arbitrary order in the dimensional regularization parameter epsilon by rewriting it as a double Mellin-Barnes integral. Closing the contour and collecting the residues then transforms this integral into a form that enables us to utilize S. Weinzierl's computer library nestedsums. We could show that multiple zeta values and rational numbers are sufficient for expanding the massless two-loop two-point function to all orders in epsilon. We then use the Hopf algebra of Feynman diagrams and its antipode, to investigate the appearance of Riemann's zeta function in counterterms of Feynman diagrams in massless Yukawa theory and massless QED. The class of Feynman diagrams we consider consists of graphs built from primitive one-loop diagrams and the non-planar vertex correction, where the vertex corrections only depend on one external momentum. We showed the absence of powers of pi in the counterterms of the non-planar vertex correction and diagrams built by shuffling it with the one-loop vertex correction. We also found the invariance of some coefficients of zeta functions under a change of momentum flow through these vertex corrections.

Polycyclic aromatic hydrocarbons (PAHs) in river bank soils

Polycyclic aromatic hydrocarbons (PAHs) are ubiquitous and found in the atmosphere, aquatic environment, sediments and soils. For environmental risk assessments and the allocation of the polluter it is important to know the PAH sources. PAH contamination sites are usually the result of anthropogenic processes. Three major sources are known: i) petroleum, including crude oil and its refined products and coals (petrogenic PAHs), ii) burning of organic matter (pyrogenic PAHs) and iii) transformation products of natural organic precursors present in the environment (diagenetic processes). In one case elevated PAH concentrations were found in river bank soils when building a retention area along the Mosel River. The source of the PAHs in this area was unclear and required the investigation of possible sources. To evaluate the PAH distribution along the Mosel River, a section of ~ 160 km along the river and a short section along the Saar River were investigated within this study. Concentrations of the Σ16 EPA PAHs were as high as 81 mg kg-1 dry weight (dw). Additionally, coal particles were identified in some soils, which originated from mining activities in the Saarland region. PAH distribution patterns of the 16 EPA PAHs suggest a mainly pyrogenic origin and in some cases a mixture of pyrogenic and petrogenic origin. For a comprehensive investigation five sampling sites were selected. Two sites were located before the confluence of the Mosel and Saar River, one site at the confluence and two sites after the confluence. The examination included typical forensic methods such as PAH distribution patterns of 45 PAHs (including alkylated PAHs), calculation of PAH ratios, determination of PAH alkyl homologues, n-alkanes, principal component analysis (PCA) and coal petrography. The results revealed a mainly pyrogenic source at sampling sites before the confluence of the two rivers. At and after the confluence, a mixture of pyrogenic and petrogenic inputs were present. With the help of coal petrography, coal derived particles could be identified in these soils. Therefore, coal was suggested to be the petrogenic source. It could be shown that sites with diffuse sources of contaminants, like the bank soils of the Mosel River, are difficult to characterize. As previously mentioned for detailed source identifications, the use of various forensic methods is essential. Determination of PAH alkyl homologue series, biomarkers and isotopes are often recommended. Source identification was evaluated using three different methods (i.e. PAH distribution patterns of an extended PAH spectrum, PAH ratios and analyses of n-alkanes). It was assessed if these methods were sufficient for the initial steps in identifying sources of PAHs in selected samples, and if they could be used for decision-making purposes. Point- and non-point sources were identified by applying the three methods and it could be shown that these relatively simple methods are sufficient in determining the primary source. In a last step of this study two soils (one before the confluence of the Mosel and Saar rivers and one after the confluence), and one sediment of the Mosel River were evaluated by investigating the mutagenic potential of the soils and the sediment with a fluctuation version of the Ames-test. The study showed that coal bearing soils at the Mosel River do not exhibit a greater mutagenic potential than other soils or sediments without coal particles.

Metastability exchange optical pumping in 3 He gas up to 30 mT: Efficiency measurements and evidence of laser-induced nuclear relaxation

Advances in metastability exchange optical pumping (MEOP) of 3He at high laser powers, with its various applications, but also at high gas pressures p3 and high magnetic field strengths B, have provided strong motivation for revisiting the understanding and for investigating the limitations of this powerful technique. For this purpose, we present systematic experimental and theoretical studies of efficiency and of relaxation mechanisms in B≤30 mT and p3=0.63−2.45 mbar. 3He nuclear polarisation is measured by light absorption in longitudinal configuration where weak light beams at 1083 nm parallel to magnetic field and cell axis with opposite circular polarisations are used to probe the distribution of populations in the metastable state. This method is systematically tested to evaluate potential systematic biases and is shown to be reliable for the study of OP dynamics despite the redistribution of populations by OP light. Nuclear polarisation loss associated to the emission of polarised light by the plasma discharge used for MEOP is found to decrease above 10 mT, as expected, due to hyperfine decoupling in highly excited states. However, this does not lead to improved MEOP efficiency at high laser power. We find clear evidence of additional laser-induced relaxation instead. The strong OP-enhanced polarisation losses, currently limiting MEOP performances, are quantitatively investigated using an angular momentum budget approach and a recently developed comprehensive model that describes the combined effects of OP, ME and relaxation, validated by comparison to experimental results.

Reparation and enforcement of judgments : a comparative analysis of the European and Inter-American human rights systems

The inter-American human rights system has been conceived following the example of the European system under the European Convention on Human Rights (ECHR) before it was modified by Protocol No 11. However, two important differences exist. First, the authority of the European Court of Human Rights (ECtHR) to order reparation has been strictly limited by the principle of subsidiarity. Thus, the ECtHR's main function is to determine whether the ECHR has been violated. Beyond the declaratory effect of its judgments, according to Article 41 ECHR, it may only "afford just satisfaction to the injured party". The powers of the Inter-American Court of Human Rights (IACtHR) were conceived in a much broader fashion in Article 63 of the American Convention on Human Rights (ACHR), giving the Court the authority to order a variety of individual and general measures aimed at obtaining restitutio in integrum. The first main part of this thesis shows how both Courts have developed their reparation practice and examines the advantages and disadvantages of each approach. Secondly, the ECtHR's rather limited reparation powers have, interestingly, been combined with an elaborate implementation system that includes several of the Council of Europe's organs, principally the Committee of Ministers. In the Inter-American System, no dedicated mechanism was implemented to oversee compliance with the IACtHR's judgments. The ACHR limits itself to inviting the Court to point out in its annual reports the cases that have not been complied with and to propose measures to be adopted by the General Assembly of the Organization of American States. The General Assembly, however, hardly ever took action. The IACtHR has therefore filled this gap by developing a proper procedure to oversee compliance with its judgments. Both the European and the American solutions to ensure compliance are presented and compared in the second main part of this thesis. Finally, based on the results of both main parts, a comparative analysis of the reparation practice and the execution results in both human rights systems is being provided, aimed at developing proposals for the improvement of the functioning of either human rights protection system.

The role of indigenous people in national development processes: Participation and marginalisation of indigenous Bedouin in South Sinai tourism development

The Bedouin of South Sinai have been significantly affected by the politics of external powers for a long time. However, never had the interest of external powers in Sinai been so strong as since the Israeli-Egyptian wars in the second half of the 20th century when Bedouin interests started to collide with Egypt’s plans for a development of luxury tourism in South Sinai. rnrnThe tourism boom that has started in the 1980s has brought economic and infrastructure development to the Bedouin and tourism has become the most important source of income for the Bedouin. However, while the absolute increase of tourists to Sinai has trickled down to the Bedouin to some extent, the participation of Bedouin in the overall tourism development is under-proportionate. Moreover, the Bedouin have become increasingly dependent on monetary income and consequently from tourism as the only significant source of income while at the same time they have lost much of their land as well as their self-determination.rnrnIn this context, the Bedouin livelihoods have become very vulnerable due to repeated depressions in the tourism industry as well as marginalization. Major marginalization processes the Bedouin are facing are the loss of land, barriers to market entry, especially increasingly strict rules and regulations in the tourism industry, as well as discrimination by the authorities. Social differentiation and Bedouin preferences are identified as further factors in Bedouin marginalization.rnrnThe strategies Bedouin have developed in response to all these problems are coping strategies, which try to deal with the present problem at the individual level. Basically no strategies have been developed at the collective level that would aim to actively shape the Bedouin’s present and future. Collective action has been hampered by a variety of factors, such as the speed of the developments, the distribution of power or the decay of tribal structures.rnWhile some Bedouin might be able to continue their tourism activities, a large number of informal jobs will not be feasible anymore. The majority of the previously mostly self-employed Bedouin will probably be forced to work as day-laborers who will have lost much of their pride, dignity, sovereignty and freedom. Moreover, with a return to subsistence being impossible for the majority of the Bedouin, it is likely that an increasing number of marginalized Bedouin will turn to illegal income generating activities such as smuggling or drug cultivation. This in turn will lead to further repression and discrimination and could escalate in a serious violent conflict between the Bedouin and the government.rnrnDevelopment plans and projects should address the general lack of civil rights, local participation and protection of minorities in Egypt and promote Bedouin community development and the consideration of Bedouin interests in tourism development.rnrnWether the political upheavals and the resignation of president Mubarak at the beginning of 2011 will have a positive effect on the situation of the Bedouin remains to be seen.rn