Wallace, David (2021) Isolated systems and their symmetries, part II: local and global symmetries of field theories. [Preprint]

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Abstract

Physical theories, for the most part, should be understood as modelling isolated subsystems of a larger Universe; doing so, among other benefits, greatly clarifies the interpretation of the dynamical symmetries of those theories. Building on a general framework for the symmetries of isolated systems developed in the prequel to this paper, I apply that framework to field theory. The resultant analysis provides a general basis for interpreting the physical significance of symmetries according to their topological and asymptotic features: global symmetries in general, and local symmetries insofar as they preserve boundary conditions and are asymptotically nonvanishing and/or topologically nontrivial, can be understood as physical transformations of an isolated system against the assumed background of other systems. Other symmetries in general must be understood as mere redescription, though in certain circumstances even non-boundary-preserving local symmetries can be afforded physical significance. The analysis largely reproduces --- and so can be seen as a theoretical justification for --- general practice in contemporary physics.

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Item Type:	Preprint
Creators:	Creators Email ORCID Wallace, David dmw121@pitt.edu
Additional Information:	Revised version: corrects various typos, technical errors, and stylistic infelicities.
Keywords:	Symmetry Field theory
Subjects:	Specific Sciences > Physics > Classical Physics Specific Sciences > Physics > Fields and Particles General Issues > Models and Idealization Specific Sciences > Physics > Symmetries/Invariances
Depositing User:	Professor David Wallace
Date Deposited:	24 Oct 2021 03:39
Last Modified:	24 Oct 2021 03:39
Item ID:	19729
Subjects:	Specific Sciences > Physics > Classical Physics Specific Sciences > Physics > Fields and Particles General Issues > Models and Idealization Specific Sciences > Physics > Symmetries/Invariances
Date:	2021
URI:	https://philsci-archive.pitt.edu/id/eprint/19729

Available Versions of this Item

• Isolated systems and their symmetries, part II: local and global symmetries of field theories. (deposited 08 Nov 2019 02:12)
  • Isolated systems and their symmetries, part II: local and global symmetries of field theories. (deposited 24 Oct 2021 03:39) [Currently Displayed]

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