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Higher derivative terms and their influence on N=2 supersymmetric systemsWeir, William Alexander January 1999 (has links)
This thesis is concerned with so-called higher derivative terms which arise in low energy approximations to certain physical models. In particular, the aim is to investigate the role that such terms play in low energy N=2 supersymmetric gauge theories in 4 dimensions, with gauge group SU(2).Chapter one serves as an introduction to the notions of supersymmetry and superfields. The problem of constructing an effective action which describes the low energy dynamics is introduced, and the construction of the Wilsonian action in terms of light and heavy modes is developed. The concept on a derivative expansion is also described. Chapter two introduces N=2 supersymmetric gauge theories with spontaneous symmetry breaking. It is observed that such systems always have a Bogomolnyi bound, and the consequences are discussed. We then develop a derivative expansion of this system in terms of N=2 superfields, drawing particular attention to the next-to- leading order derivative term (that is, those with 4 derivatives/8 fermions). The duality properties of such a term are reviewed, and their impact on the mass formula discussed. Conclusions are drawn as to their influence on the results of Seiberg and Witten. Chapter three deals with a non-renormalisation theorem for the next-to-leading order higher derivative term proposed by Dine and Seiberg. This states that instanton contributions to such a term in massless N=2 SU(N(_c)) gauge theories vanish when the number of flavours N(_f) = 2N(_c). We prove this result using the ADHM formalism for multi-instantons in the case N(_c) = 2.
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Genetic Analysis of Wilson Disease in a South Indian Population and Molecular Characterization of 13 Novel ATP7B MutationsSingh, Nivedita January 2017 (has links)
Wilson disease (WD) is an autosomal recessive disorder characterized by deposition of copper in the body, mainly in the liver and brain. WD patients present with hepatic, neurological, and psychiatric problems. The diagnosis of WD is very challenging, and is performed by taking
into account both clinical and biochemical parameters. The treatment of WD exists, which aims at initial chelation therapy followed by maintenance therapy. WD is caused by mutations in the ATP7B gene. Till date, more than 600 mutations in ATP7B have already been described from many countries, including India. However, there are a very few large cohort studies which are
reported from Indian population. In this study, we have attempted to perform mutation analysis of ATP7B in a large cohort of WD families from Bangalore, south India, and further look into the molecular consequences of the novel mutations identified in the present study.
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An Analysis of President Trump's Afghanistan Foreign Policy: Through the Theoretical Framework of Walter Russell Mead's Four ParadigmsSantoro, Patrick Thomas 26 May 2020 (has links)
The purpose of this thesis was to analyze President Trump's Afghanistan foreign policy and to determine if it fits the mold of one of the four historical foreign policy paradigms as described by Walter Russell Mead in his book, Special Providence: American Foreign Policy and How It Changed the World. Mead describes four U.S. foreign policy schools of thought, in which he titles after influential statesmen who embody the specific school's core principles. These paradigms include the Hamiltonians, who believe in a strong relationship between big business and government for foreign policy success. The Wilsonians, who encourage the spread of democratic principles abroad. The Jeffersonians, who favor the protection of domestic liberal democracy over other foreign policy endeavors. Lastly, the Jacksonians, who prioritize the physical and economic security of American citizens above all else. The primary research question in this thesis states, which of the four traditions of U.S. foreign policy identified by Walter Russell Mead helps explain President Trump's Afghanistan foreign policy? President Trump's rhetoric and specific foreign policy actions were analyzed. His rhetoric was examined through his August 2017 Afghanistan Strategy speech and his specific foreign policy actions were measured through various air operation metrics, U.S. aid to Afghanistan, and U.S. troop deployment trends. Overall, this thesis gave support to my hypothesis that President Trump's Afghanistan foreign policy contains various Hamiltonian and Wilsonian principles, but it has proven to be principally Jacksonian. / Master of Arts / The objective of this thesis was to further understand President Trump's Afghanistan foreign policy through the theoretical framework of Walter Russel Mead's four historical foreign policy paradigms. Mead's four historical paradigms are useful tools to examine and understand U.S. foreign policy. Mead provides in-depth historical context, goes into great detail on core principles, and also provides a surfeit of advantages and disadvantages for each school of thought. His breakdown of U.S. foreign policy into complementary yet combative paradigms is one of the most complete explanations of U.S. foreign policy to date. The primary research question in this thesis states, which of the four traditions of U.S. foreign policy identified by Walter Russell Mead helps explain President Trump's Afghanistan foreign policy? President Trump's rhetoric and specific foreign policy actions were analyzed. His rhetoric was examined through his August 2017 Afghanistan Strategy speech and his specific foreign policy actions were measured through various air operation metrics, U.S. aid to Afghanistan, and U.S. troop deployment trends. Overall, this thesis gave support to my hypothesis that President Trump's Afghanistan foreign policy contains various Hamiltonian and Wilsonian principles, but it has proven to be principally Jacksonian.
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The Rise of the United States' Airfield Empire in Latin America, North Africa, the Middle East, and Southern Asia (1927-1945). How America's Political Leaders Achieved Mastery over the Global Commons and Created the "American Century"Ruano de la Haza, Jonathan 29 November 2012 (has links)
This dissertation makes the argument that the Franklin Roosevelt administration (1933-1945) embarked upon a global hegemonic project to transform the United States into a world empire and bring about the "New World Order." In addition, the expansion of U.S. commercial and military air routes was seen as instrumental to the realization of this project.
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The Rise of the United States' Airfield Empire in Latin America, North Africa, the Middle East, and Southern Asia (1927-1945). How America's Political Leaders Achieved Mastery over the Global Commons and Created the "American Century"Ruano de la Haza, Jonathan 29 November 2012 (has links)
This dissertation makes the argument that the Franklin Roosevelt administration (1933-1945) embarked upon a global hegemonic project to transform the United States into a world empire and bring about the "New World Order." In addition, the expansion of U.S. commercial and military air routes was seen as instrumental to the realization of this project.
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The Rise of the United States' Airfield Empire in Latin America, North Africa, the Middle East, and Southern Asia (1927-1945). How America's Political Leaders Achieved Mastery over the Global Commons and Created the "American Century"Ruano de la Haza, Jonathan January 2012 (has links)
This dissertation makes the argument that the Franklin Roosevelt administration (1933-1945) embarked upon a global hegemonic project to transform the United States into a world empire and bring about the "New World Order." In addition, the expansion of U.S. commercial and military air routes was seen as instrumental to the realization of this project.
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Renormalization in Field TheoriesSöderberg, Alexander January 2015 (has links)
Several different approaches to renormalization are studied. The Callan-Symanzik equation is derived and we study its beta functions. An effective potential for the Coleman-Weinberg model is studied to find that the beta function is positive and that spontaneous symmetry breaking will occur if we expand around the classical field. Lastly we renormalize a non-abelian gaugetheory to find that the beta function in QCD is negative.
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