Why Yang-Mills theories?

Abstract

The elucidation of the gauge principle ``is the most pressing problem in current philosophy of physics" Redhead. This paper argues two points that contribute to this elucidation in the context of Yang-Mills theories. 1) Yang-Mills theories, including quantum electrodynamics, form a class. They should be interpreted together. To focus on electrodynamics is a mistake. 2) The essential role of gauge and BRST surplus is to provide a local theory that can be quantized and would be equivalent to the quantization of the non-local reduced theory.

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Philosophical papers.David Kellogg Lewis - 1983 - New York: Oxford University Press.
Philosophical Papers.Graeme Forbes & David Lewis - 1985 - Philosophical Review 94 (1):108.
Understanding electromagnetism.Gordon Belot - 1998 - British Journal for the Philosophy of Science 49 (4):531-555.
Are gauge symmetry transformations observable?Katherine Brading & Harvey R. Brown - 2004 - British Journal for the Philosophy of Science 55 (4):645-665.
On the reality of gauge potentials.Richard Healey - 2001 - Philosophy of Science 68 (4):432-455.

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