Classical review on Yang-Mills theory

This paper first introduces fields, groups, symmetries and field theory in physics to give abroad understanding of the concepts behind Yang-Mills theory. Following that, this papergives the working and understanding behind the fields and transformations for the standardmodel in 3 parts, the U(1) ga...

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Main Author: Phua, Jordon Sing Quan
Other Authors: Chew Lock Yue
Format: Final Year Project
Language:English
Published: Nanyang Technological University 2020
Subjects:
Online Access:https://hdl.handle.net/10356/144838
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1448382023-02-28T23:14:41Z Classical review on Yang-Mills theory Phua, Jordon Sing Quan Chew Lock Yue School of Physical and Mathematical Sciences lockyue@ntu.edu.sg Science::Physics This paper first introduces fields, groups, symmetries and field theory in physics to give abroad understanding of the concepts behind Yang-Mills theory. Following that, this papergives the working and understanding behind the fields and transformations for the standardmodel in 3 parts, the U(1) gauge group, the SU(2) gauge group and the SU(3) gauge group. Itis shown how in U(1) due to the associated symmetry, the transformations are simpler hencethe theory is less complicated but the theories get more complicated when the symmetriesare associated with the SU(2) and SU(3) groups with more terms and more complex fieldstrength tensor. Finally, the paper ends with an explicit show of U(1) and SU(2) gauge theorywith the EM fields, current density, particle dynamics, particle charge using electrodynamicsas an example. Bachelor of Science in Physics 2020-11-27T02:08:05Z 2020-11-27T02:08:05Z 2020 Final Year Project (FYP) https://hdl.handle.net/10356/144838 en application/pdf Nanyang Technological University
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Physics
spellingShingle Science::Physics
Phua, Jordon Sing Quan
Classical review on Yang-Mills theory
description This paper first introduces fields, groups, symmetries and field theory in physics to give abroad understanding of the concepts behind Yang-Mills theory. Following that, this papergives the working and understanding behind the fields and transformations for the standardmodel in 3 parts, the U(1) gauge group, the SU(2) gauge group and the SU(3) gauge group. Itis shown how in U(1) due to the associated symmetry, the transformations are simpler hencethe theory is less complicated but the theories get more complicated when the symmetriesare associated with the SU(2) and SU(3) groups with more terms and more complex fieldstrength tensor. Finally, the paper ends with an explicit show of U(1) and SU(2) gauge theorywith the EM fields, current density, particle dynamics, particle charge using electrodynamicsas an example.
author2 Chew Lock Yue
author_facet Chew Lock Yue
Phua, Jordon Sing Quan
format Final Year Project
author Phua, Jordon Sing Quan
author_sort Phua, Jordon Sing Quan
title Classical review on Yang-Mills theory
title_short Classical review on Yang-Mills theory
title_full Classical review on Yang-Mills theory
title_fullStr Classical review on Yang-Mills theory
title_full_unstemmed Classical review on Yang-Mills theory
title_sort classical review on yang-mills theory
publisher Nanyang Technological University
publishDate 2020
url https://hdl.handle.net/10356/144838
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