Catren, Gabriel (2008) Geometric Foundations of Classical Yang-Mills Theory. [Preprint]
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We analyze the geometric foundations of classical Yang-Mills theory by studying the relationships between internal relativity, locality, global/local invariance, and background independence. We argue that internal relativity and background independence are the two independent defining principles of Yang-Mills theory. We show that local gauge invariance -heuristically implemented by means of the gauge argument- is a direct consequence of internal relativity. Finally, we analyze the conceptual meaning of BRST symmetry in terms of the invariance of the gauge fixed theory under general local gauge transformations.
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|Additional Information:||Published in Studies in History and Philosophy of Modern Physics 39 (2008) 511–531.|
|Keywords:||Yang-Mills Theory, Gauge Theories, BRST Symmetry|
|Subjects:||Specific Sciences > Physics > Symmetries/Invariances|
|Depositing User:||Gabriel Catren|
|Date Deposited:||04 Nov 2008|
|Last Modified:||07 Oct 2010 11:17|
Available Versions of this Item
- Geometric Foundations of Classical Yang-Mills Theory. (deposited 22 Aug 2007)
- Geometric Foundations of Classical Yang-Mills Theory. (deposited 04 Nov 2008)[Currently Displayed]
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