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Orientador: Nathan Jacob Berkovits / Banca: Horatiu Stefan Nastase / Banca: Diego Trancanelli / Resumo: Nesta dissertação apresentamos uma descrição da dualidade elétrica-magnética e seus aspectos clássicos e quânticos. Nosso análise se inicia com os monopolos magéticos sugeridos por Dirac em 1931[1] e vai até o trabalho do Seiberg e Witten em 1994 [27]. Na descrição clássica, precisamos introduzir os monopolos magnéticos a fim de obter a dualidade elétrica-magnética manifesta. Mais tarde, a origem dos monopolos se mais torna mais clara quando começamos com uma teoria de Yang-Mills. Os aspectos clássicos da teoria foram explicados pela conjetura de Montonen e Olive 1977 [7]. Explorando os aspectos quânticos da teoria, notamos a importância de introduzir supersimetria, principalmente supersimetria estendida, onde tiramos vantagem da propiedade de holomorficidade, a qual nos leva aos teoremas não renormalizáveis, onde o cálculo é mais simples. Focamos na teoria de gauge supersimétrica N = 2 SU(2). A teoria é completamente resolvível para baixas energias. A maior parte do conteúdo deste trabalho é baseada nas várias revisões da dualidade de Seiberg-Witten [30],[31],[32] / Abstract: In this dissertation we present a description of the electric-magnetic duality and their classical and quantum aspects. Our analysis starts from the suggested magnetic monopoles by Dirac in 1931 [1] and goes until the work of Seiberg and Witten in 1994 [27]. In the classical description, we need to introduce the magnetic monopoles in order to make manifest the electricmagnetic duality. Later, the origin of monopoles becomes clear when we start from a Yang-Mills theory. The classical aspects of the E-M duality are covered in the Montonen-Olive conjecture 1977[7]. Working on the quantum aspects of the theory, we note the importance of introducing supersymmetry. Specially for extended supersymmetry, where we take advantage of the holomorphicity property, which leads us to the non-renormalizable theorems, where the computation is easier. We focus on theN = 2SU(2) supersymmetric gauge theories. It turns out that the theory is fully solvable at the low energies regime[27]. Most of this work is based on reviews about the Seiberg and Witten duality [30],[31],[32] / Mestre

This project is a close study and translation of Heshanggong's Commentary on the Daodejing. The text, attributed to the "Old Man by the River" (Heshanggong) and dating from the Eastern Han (25-220 CE), remains one of the most historically influential readings of the Daoist classic the Daodejing. However, in modern times it has received little attention, being dismissed as a superstitious interpretation of the original. This dissertation seeks to amend contemporary scholarship and address the underlying theoretical categories responsible for this situation. These problems largely originate from a common scholarly view of Chinese civilization as foundationally monistic. Because of this bias, any hints of transcendence found in the commentary are read as later "religious" distortions of the original "philosophical" holism of the Daodejing. Rather than engaging with debates over whether Daoism is monistic or dualistic, philosophical or religious, this dissertation shifts focus away from those Western constructs. It instead draws on different binaries found within the commentator's own writings. In particular, the categories of yin and yang become central to a native reading of this tradition. Furthermore, I argue that Heshanggong's approach rests on subdividing both yin and yang into a causal relationship of mode and substance. I use this fourfold conceptual framework to analyze the key themes of the commentary, including cosmology, body, and state. So doing reveals the novelty of Heshanggong's responses to a range of conceptual and historical issues in Early China (6th century BCE-3rd century CE). First, the mode-substance reading of yin-yang challenges depictions of early Daoism as having a solely "correlative cosmos": uncreated, relativistic, and perfectly united through spontaneous resonance. Instead, it suggests a single cosmic substance originating from a first cause, the yin mode of the Way (that includes stillness, emptiness, darkness, and softness). Second, this means that contrary to the often-asserted historical split between monistic "philosophical" Daoism and dualistic "religious" Daoism, one finds a continuous tradition that seeks Heavenly spirit (yang substance) through stillness (yin mode). By excising monism and dualism from the discussion, a greater awareness of historical progression and cosmological nuance appears.

京都大学 / 0048 / 新制・課程博士 / 博士(理学) / 甲第20173号 / 理博第4258号 / 新制||理||1612(附属図書館) / 京都大学大学院理学研究科物理学・宇宙物理学専攻 / (主査)教授 大西 明, 教授 國廣 悌二, 教授 川合 光 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DGAM

The purpose of this research is to study the development of Christianity in contemporary China. It adds to the limited literature that explores how Christianity has developed as the fastest growing religion in China post the Chinese Cultural Revolution. The data derive from semi-structured and focus group interviews with Chinese Christians and field observation notes collected at both official and non-official Christian churches in Beijing. I found an ambivalent attitude toward the development of Christianity across different social levels in China. At the state level, the Chinese government expects Christianity to provide a much-needed stabilizing influence in an increasingly self-centered and materialistic society. At the same time, the government fears that Christianity's increasing power may pose a threat to the Communist regime. Correspondingly, at the community level, Chinese Christians wish to see an increasing Christian influence throughout Chinese society to improve people's quality of life, but many Chinese traditionalists oppose the increased Christian influence that seems to be supplanting traditional Chinese culture. These disagreements do not seem to have seriously impeded the development of Christianity in China today. Applying a pervasive cultural perspective – the lens of Yin-Yang interaction – to the current situation of the Christian churches in China, I find that the Yin traits within Christianity and the Yang traits embedded in the Chinese political ideology are coexisting paradoxical values whose interaction facilitates an acceptance, or at least sanction, of oppositions that have reshaped the social and political landscape of Chinese society and fostered the continuing growth of Christianity in China.

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Yangian symmetric correlators can be constructed by the action of Yang-Baxter R operators on trivial basic correlators. The example of a four-point correlator is given in two representations and the construction of the completely connected N point correlator is described. The helicity representation is dicussed and the relation of the four-point correlator to tree-level scattering amplitudes is shown.

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abstract / toc / Chinese / Master / Master of Philosophy

Actuellement, les photochromes photoréversibles présentent un intérêt important en vue de leurs applications éventuelles comme interrupteurs optiques ou pour le traitement et le stockage de données. L’objectif principal de ce travail de thèse a été d’évaluer les 3-­-(2-­-benzylbenzoyl)-­-4-­-quinolones en tant que système photochromique photoréversible. Afin d’étudier la relation entre la structure chimique et le comportement photochromique de ce système, une série de nouvelles 3-­-(2-­-benzylbenzoyl)-­-4-­-quinolones à substitution variée a été préparée à l’aide de procédures connues ainsi qu’élaborées lors de ce travail. La photoréaction de ces nouveaux molecules étant très complexe, une méthode d’étude a été établie avec des 2-­-benzyl-­-3-­-benzoyl-­-4-­-quinolones photoénolisables au comportement plus simple. Leurs spectres d’absorption modélisés à l’aide de fonctions pekariennes ont été comparés avec les résultats des calculs quantiques. Le mécanisme selon lequel la réaction de décoloration se fait par l’ionisation des photoénols fortement acides via protonation des molécules du solvant a été établi. Enfin, la troisième partie est consacrée à l’étude des nouveaux dérivés de quinolones. D’après l’analyse de leurs spectres d’absorption, ainsi que les résultats des calculs quantiques, nous proposons un mécanisme où le transfert d’hydrogène photo-­-induit conduirait à la formation d’un intermédiaire biradicalaire, capable de se cycliser en dibenzo[b]acrydinones hydroxysubstituées. Un tel mécanisme expliquerait la forte influence qu’ont la nature des substituants en positions 1 et 2, ainsi que la température et la présence d’oxygène sur la régio-­- et stéréo-­-sélectivité de cette photoréaction. / Photoreversible photochromic compounds are currently of considerable interest from the point of view of their potential applications as molecular switches and for data storage and processing. The main target of the present investigation is to evaluate the scope and limitations of 3-­-(2-­-benzylbenzoyl)-­-4-­-quinolones as a photoreversible photochromic system. In order to investigate the relationship between quinolone chemical structures and photochemical behavior, a large series of new 3-­-(2-­-benzylbenzoyl)-­-4-­-quinolones with different substituents has been prepared using known as well as newly elaborated synthetic procedures. In the second part of the work a series of simpler photoenolizable 2-­-benzyl-­-3-­-benzoyl quinolones is studied by the means of fitting their UV-­-Vis absorption spectra and comparison with the results of quantum mechanical calculations at the TD DFT level. It was concluded that the mechanism of the reverse reaction involves ionization of the strongly acidic photoenols via protonation of the solvent molecules. The third part of the work includes investigation of the new quinolone derivatives. From the analyses of their absorption spectra and the results of quantum mechanical calculations, we propose a tentative mechanism, according to which the photoinduced hydrogen transfer yields a biradical, capable of cyclization into the hydroxy substituted dibenzo[b]acrydinones. This mechanism accounts for the observation that the nature of substituents in positions 1 and 2, the temperature and the presence of oxygen strongly affect regio-­- and stereoselectivity of the cyclization.