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Sizing up gauge

Dougherty, John (2019) Sizing up gauge. In: UNSPECIFIED.

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Abstract

Gauge theories feature a distinction between "large" and "small" gauge transformations. Small gauge transformations are said to relate two models representing the same physical state, while large gauge transformations are said to relate distinct physical states of affairs that agree on some or all observables---i.e., to be physical symmetries. This size distinction has real physical consequences, but its conceptual status is obscure. Indeed, it seems to be a hypothesis independent of the rest of quantum field theory, though various plausibility arguments for it do exist. In this paper I offer a conceptual justification of the size distinction on the basis of gauge invariance: in a theory with nontrivial gauge transformations, imposing boundary conditions in a gauge-invariant way produces the size distinction. The landscape of gauge theories is therefore richer than it is often taken to be. Two theories can both deny that gauge transformations are physical symmetries without agreeing on all of the gauge-theoretic facts.


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Item Type: Conference or Workshop Item (UNSPECIFIED)
Creators:
CreatorsEmailORCID
Dougherty, Johnjohn.e.dougherty.ii@gmail.com0000-0002-4332-684X
Keywords: gauge theory, symmetries, boundary conditions
Subjects: Specific Sciences > Physics > Symmetries/Invariances
Depositing User: John Dougherty
Date Deposited: 08 Aug 2019 12:22
Last Modified: 08 Aug 2019 12:22
Item ID: 16315
Subjects: Specific Sciences > Physics > Symmetries/Invariances
Date: 7 August 2019
URI: http://philsci-archive.pitt.edu/id/eprint/16315

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