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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DOI 10.1016/j.shpsb.2008.02.002
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References found in this work BETA
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.
Michael Redhead (2003). The Interpretation of Gauge Symmetry. In Katherine A. Brading & Elena Castellani (eds.), Symmetries in Physics: Philosophical Reflections. Cambridge University Press 124--139.
Christopher A. Martin (2002). Gauge Principles, Gauge Arguments and the Logic of Nature. Proceedings of the Philosophy of Science Association 2002 (3):S221-S234.

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Citations of this work BETA
Alexandre Guay (2008). Conceptual Foundations of Yang–Mills Theories. Studies in History and Philosophy of Science Part B 39 (3):687-693.
Alexandre Guay (2008). Conceptual Foundations of Yang–Mills Theories. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (3):687-693.

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