Print Email Facebook Twitter Symmetries of the Standard Model Title Symmetries of the Standard Model Author Dupont, José (TU Delft Applied Sciences; TU Delft Electrical Engineering, Mathematics and Computer Science) Contributor Janssens, B. (mentor) Laenen, Eric (mentor) Thijssen, J.M. (graduation committee) Degree granting institution Delft University of Technology Programme Applied Mathematics | Applied Physics Date 2021-04-16 Abstract This thesis is divided into five parts (covering chapter 1–5), that together try to give the reader a basic understanding of the symmetries of and the mathematical structure behind the standard model. The first two chapters cover some Lie and representation theory of the Lie groups U(1), SU(2) and SU(3), which play a central role in the standard model. In the third chapter, the structure of the standard model is given, based purely on observed symmetries and (quantum numbers of) particles. In this chapter, the mathematics of the first two chapters is not used yet. In the fourth chapter, the Lie theory of chapter 1 is used to treat the gauge theory of U(1), SU(2) and SU(3), where for SU(2) also spontaneous symmetry breaking is incorporated. Finally, the fifth and last theoretical chapter gives examples of how representation theory and gauge theory can together structure the particles of the standard model and can dictate which particles and particle interactions are physically allowed. The thesis ends with some recommendations for further study of the topic at hand and for further research to symmetries beyond the standard model. Subject symmetrystandard modelparticle physicslie theorygauge theory To reference this document use: http://resolver.tudelft.nl/uuid:19227b01-2e79-4732-9f7b-7ba5a0c0a79e Part of collection Student theses Document type bachelor thesis Rights © 2021 José Dupont Files PDF BEP_Jos_definitieve_versie.pdf 1.16 MB Close viewer /islandora/object/uuid:19227b01-2e79-4732-9f7b-7ba5a0c0a79e/datastream/OBJ/view