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see also at electromagnetic potential
In gauge theory in physics a field configuration is modeled, in mathematics-terminology by a connection $\nabla$ on a principal bundle $P$ (or some associated bundle). In physics-terminology the connection $\nabla$ is sometimes called the gauge potential (while the equivalence class of $P$ is called the instanton sector and the curvature $F_\nabla$ is called the field strength).
Specfically in electromagnetism one also speaks of electromagnetic potential or vector potential.
gauge field: models and components
The understanding of gauge potentials as connections on fiber bundles is due to
The identification of gauge potentials with connections on fiber bundles is due to:
See also at fiber bundles in physics.
History:
A. C. T. Wu, Chen Ning Yang, Evolution of the concept of vector potential in the description of the fundamental interactions, International Journal of Modern Physics A 21 16 (2006) 3235-3277 [doi:10.1142/S0217751X06033143]
Chen Ning Yang, The conceptual origins of Maxwell’s equations and gauge theory, Phyics Today 67 11 (2014) [doi:10.1063/PT.3.2585, pdf]
Review:
Last revised on February 8, 2024 at 10:25:35. See the history of this page for a list of all contributions to it.