A Puzzle About General Covariance and Gauge

Autor:	March, Eleanor, Weatherall, James Owen
Rok vydání:	2024
Předmět:	Physics - History and Philosophy of Physics General Relativity and Quantum Cosmology High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	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. Comment: 26 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.03906 Zobrazit plný text záznamu View this record from Arxiv