Geometric foundations of classical Yang–Mills theory

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.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1016/j.shpsb.2008.02.002
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 15,914
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
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.
Christopher A. Martin (2002). Gauge Principles, Gauge Arguments and the Logic of Nature. Proceedings of the Philosophy of Science Association 2002 (3):S221-S234.
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.

View all 13 references / Add more references

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.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

55 ( #60,888 of 1,725,565 )

Recent downloads (6 months)

3 ( #211,098 of 1,725,565 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.