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Geometric Foundations of Classical Yang-Mills Theory
Catren, Gabriel
Symmetries/Invariances
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.
2008-11
Preprint
NonPeerReviewed
application/pdf
http://philsci-archive.pitt.edu/4296/1/Geometric_Foundations_of_Classical_Yang%2DMills_Theory_%2D_Catren.pdf
Catren, Gabriel (2008) Geometric Foundations of Classical Yang-Mills Theory. [Preprint]
http://philsci-archive.pitt.edu/4296/