Renormalization and symmetries in quantum field theory
Divergence arises in calculating some Feynman diagrams representing the scattering amplitudes in quantum field theory. To manage and eliminate the divergence and produce finite results, the renormalization theory was developed. Symmetry plays a crucial role in renormalization. In this thesis, a dire...
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| Format: | Final Year Project (FYP) |
| Language: | English |
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2014
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| Online Access: | http://hdl.handle.net/10356/60099 |
| _version_ | 1811697627197079552 |
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| author | Liu, Zheng |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Liu, Zheng |
| author_sort | Liu, Zheng |
| collection | NTU |
| description | Divergence arises in calculating some Feynman diagrams representing the scattering amplitudes in quantum field theory. To manage and eliminate the divergence and produce finite results, the renormalization theory was developed. Symmetry plays a crucial role in renormalization. In this thesis, a direct investigation of the symmetry properties (in particular, the Lorentz and gauge symmetries) was performed in the context of quantum electrodynamics (QED). It turns out that these symmetries impose sufficient constraints to the divergence structure to make QED renormalizable. This investigation provides an alternative proof of the renormalizability of QED. |
| first_indexed | 2024-10-01T07:58:16Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/60099 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:58:16Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | ntu-10356/600992023-02-28T23:18:15Z Renormalization and symmetries in quantum field theory Liu, Zheng School of Physical and Mathematical Sciences David Henry Adams DRNTU::Science::Physics Divergence arises in calculating some Feynman diagrams representing the scattering amplitudes in quantum field theory. To manage and eliminate the divergence and produce finite results, the renormalization theory was developed. Symmetry plays a crucial role in renormalization. In this thesis, a direct investigation of the symmetry properties (in particular, the Lorentz and gauge symmetries) was performed in the context of quantum electrodynamics (QED). It turns out that these symmetries impose sufficient constraints to the divergence structure to make QED renormalizable. This investigation provides an alternative proof of the renormalizability of QED. Bachelor of Science in Physics 2014-05-22T05:29:40Z 2014-05-22T05:29:40Z 2014 2014 Final Year Project (FYP) http://hdl.handle.net/10356/60099 en 57 p. application/pdf |
| spellingShingle | DRNTU::Science::Physics Liu, Zheng Renormalization and symmetries in quantum field theory |
| title | Renormalization and symmetries in quantum field theory |
| title_full | Renormalization and symmetries in quantum field theory |
| title_fullStr | Renormalization and symmetries in quantum field theory |
| title_full_unstemmed | Renormalization and symmetries in quantum field theory |
| title_short | Renormalization and symmetries in quantum field theory |
| title_sort | renormalization and symmetries in quantum field theory |
| topic | DRNTU::Science::Physics |
| url | http://hdl.handle.net/10356/60099 |
| work_keys_str_mv | AT liuzheng renormalizationandsymmetriesinquantumfieldtheory |