Symmetries in Particle Physics—NTU SPMS Mathematics Final Year Project Presentation
Автор: Math in The Margins
Загружено: 2025-06-18
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This video is a recording of my final year project presentation held on 22nd April, 2025 for my undergraduate thesis titled Symmetries in Particle Physics. This project was completed as part of the graduation requirements for my Bachelor's degree in Physics and Mathematical Sciences at Nanyang Technological University (NTU), School of Physical and Mathematical Sciences (SPMS), and supervised by Assoc. Prof. François Gay-Balmaz.
In this presentation, I introduce the Lagrangian formalism of classical mechanics and classical field theory, as well as Noether's (first) theorem, which elegantly relates continuous symmetries of the classical action to conservation laws. Starting with configurational and temporal symmetries in classical mechanical systems, we first establish a formulaic method of discussing symmetries and deriving familiar conservation laws from classical mechanics. This framework is then applied to explore internal and spacetime symmetries in classical field theories, for which a simple example of the complex Klein–Gordon scalar field was used to illustrate the conservation laws derived in each case. The contents of this presentation lay the groundwork for understanding symmetries in particle physics.
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