Renormalization and symmetries in quantum field theory

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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Main Author: Liu, Zheng
Other Authors: School of Physical and Mathematical Sciences
Format: Final Year Project
Language:English
Published: 2014
Subjects:
DRNTU::Science::Physics
Online Access:http://hdl.handle.net/10356/60099
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.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
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Physics
spellingShingle DRNTU::Science::Physics
Liu, Zheng
Renormalization and symmetries in quantum field theory
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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Liu, Zheng
format Final Year Project
author Liu, Zheng
author_sort Liu, Zheng
title Renormalization and symmetries in quantum field theory
title_short 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_sort renormalization and symmetries in quantum field theory
publishDate 2014
url http://hdl.handle.net/10356/60099
_version_ 1759857616462282752

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