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Item 1: 80% Examination (2 hours 30 mins)ĭescription: "This module looks at the relationship of terrorism, human rights and migration.Building on this, and introducing elements from group theory and fibre bundles we will introduce classical solitons as localised, finite energy solutions to the classical field equations in various dimensions (kinks in 2d, vortices in 3d, monopoles in 4d, instantons in Euclidean 4d) and discuss their properties, including the existence of zero-modes, associated collective coordinates and moduli spaces. The alternative notation of differential forms will be explored and the geometric aspects of gauge theory emphasised. Using the same starting point as RWQF, Maxwell's theory of electromagnetism, we will focus on the Lagrangian formulation of the two most prominent theories of our time: Yang-Mills (gauge) theory and gravity. Prerequisite: Before taking this module you must take SPA6324 and take SPA6308Ĭorequisite: In the same year as taking this module you must take SPA7018Uĭescription: The aim of this course is to complement the core Relativistic Waves and Quantum Fields (RWQF) module by providing the student with some advanced tools essential for research in modern Theoretical Physics. The module will also discuss recent and upcoming experiments and large scale structure surveys and their relevance for cosmology.ĭifferential Geometry in Theoretical Physics It discusses the observed structure of the universe, how these structures formed, and how they can be used to test our theories and models of the universe. Titleĭescription: This module covers advanced concepts of modern cosmology, and in particular will introduce the student to cosmological perturbation theory.
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