Geometric foundations of classical Yang–Mills theory

Abstract
We analyze the geometric foundations of classical Yang-Mills theory by studying the relationships between internal relativity, locality, global/local invariance, and relationalism. Using the fiber bundle formulation of Yang-Mills theory, a precise definition of locality is proposed. We show that local gauge invariance -heuristically implemented by means of the gauge argument- is a necessary but not sufficient condition for establishing a relational theory of local internal motion. 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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References found in this work BETA
Gordon Belot (2003). Symmetry and Gauge Freedom. Studies in History and Philosophy of Science Part B 34 (2):189-225.
John Earman & John Norton (1987). What Price Spacetime Substantivalism? The Hole Story. British Journal for the Philosophy of Science 38 (4):515-525.
Richard A. Healey (1991). Holism and Nonseparability. Journal of Philosophy 88 (8):393-421.

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