Geometric Foundations of Classical Yang-Mills Theory
Catren, Gabriel (2008) Geometric Foundations of Classical Yang-Mills Theory.
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Abstract
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.
| Keywords: | Yang-Mills Theory, Gauge Theories, BRST Symmetry |
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| Subjects: | Specific Sciences: Physics: Symmetries/Invariances |
| ID Code: | 4296 |
| Deposited By: | Catren, Gabriel |
| Deposited On: | 04 November 2008 |
| Additional Information: | Published in Studies in History and Philosophy of Modern Physics 39 (2008) 511–531. |
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