March, Eleanor and Weatherall, James Owen (2024) A Puzzle About General Covariance and Gauge. [Preprint]
This is the latest version of this item.
![[img]](https://philsci-archive.pitt.edu/style/images/fileicons/text.png) |
Text
Covariance and Gauge revised archive version.pdf - Submitted Version Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (387kB) |
Abstract
We consider two simple criteria for when a physical theory should be said to be “generally covariant”, and we argue that these criteria are not met by Yang-Mills theory, even on geometric formulations of that theory. The reason, we show, is that the bundles encountered in Yang-Mills theory are not natural bundles; instead, they are gauge-natural. We then show how these observations relate to previous arguments about the significance of solder forms in assessing disanalogies between general relativity and Yang-Mills theory. We conclude by suggesting that general covariance is really about functoriality.
| Export/Citation: | EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL |
| Social Networking: |
| Item Type: | Preprint | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Creators: |
|
|||||||||
| Keywords: | general covariance, Yang-Mills theory, solder forms, general relativity, natural bundles | |||||||||
| Subjects: | Specific Sciences > Physics Specific Sciences > Physics > Quantum Field Theory Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances |
|||||||||
| Depositing User: | James Owen Weatherall | |||||||||
| Date Deposited: | 19 Nov 2024 14:06 | |||||||||
| Last Modified: | 19 Nov 2024 14:06 | |||||||||
| Item ID: | 24241 | |||||||||
| Subjects: | Specific Sciences > Physics Specific Sciences > Physics > Quantum Field Theory Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances |
|||||||||
| Date: | 2024 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/24241 |
Available Versions of this Item
-
A Puzzle About General Covariance and Gauge. (deposited 07 May 2024 10:44)
- A Puzzle About General Covariance and Gauge. (deposited 19 Nov 2024 14:06) [Currently Displayed]
Monthly Views for the past 3 years
Monthly Downloads for the past 3 years
Plum Analytics
Actions (login required)
 |
View Item |
![[feed]](http://philsci-archive.pitt.edu/style/images/feed-icon-32x32.png){kind=icon}