archives@tulane.edu / The Feynman diagrams have become a highly valued tool for complex calculations and understanding the physics of elementary particles within the framework of quantum field theory. In this thesis, we present an overview on constructing and utilizing Feynman diagrams in quantum field theory along with an overview of quantum field theory itself. We begin with a review of prerequisite topics then progress to discussing symmetries using Lie groups, algebras, and representation theory. We then use the representations of the Lorentz group to derive the fields in a classical context then proceed with quantization to create the corresponding quantum fields while providing a thorough analysis of each quantum field. Path integrals are constructed for each quantum field by deriving their propagators then the formulas for scattering are derived in the context of quantum field theory. Quantum symmetries are briefly explored with the intention of quantizing classical results such as Noether's theorem. Then we construct interacting quantum field theories and introduce the Feynman diagrams and Feynman rules for different interaction theories and provide examples and applications of the Feynman diagrams. The physics behind the diagrams is carefully analyzed and interpreted. Finally, we conclude this thesis with a summary of what we have covered along with possible routes of study after mastering the contents of this thesis that will lead to current research topics. / 1 / Junhyup Sung
| Identifer | oai:union.ndltd.org:TULANE/oai:http://digitallibrary.tulane.edu/:tulane_122027 |
| Date | January 2021 |
| Contributors | Sung, Junhyup (author), Moll, Victor (Thesis advisor), School of Science & Engineering Mathematics (Degree granting institution) |
| Publisher | Tulane University |
| Source Sets | Tulane University |
| Language | English |
| Detected Language | English |
| Type | Text |
| Format | electronic, pages: 279 |
| Rights | No embargo, Copyright is in accordance with U.S. Copyright law. |
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