nLab electromagnetism




physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes

theory (physics), model (physics)

experiment, measurement, computable physics



Electromagnetism or electrodynamics is the gauge theory whose field is the electromagnetic field, see there for more details.

The corresponding quantum field theory is quantum electrodynamics.


Exposition of the formulation of Maxwell's equations via differential forms and the Hodge star operator:

  • Sébastien Fumeron, Bertrand Berche, Fernando Moraes, Improving student understanding of electrodynamics: the case for differential forms, American Journal of Physics 88 (2020) 1083 [arXiv:2009.10356, doi:10.1119/10.0001754]

More advanced discussion:

Discussion of electromagnetism in the generality of quantum field theory on curved spacetimes originates with

and is further developed in (e.g. regarding Hadamard states) in

  • K. Sanders, Claudio Dappiaggi, T.-P. Hack, Electromagnetism, local covariance, the Aharonov-Bohm effect and Gauss’ law, Commun. Math. Phys. 328(2), 625–667 (2014)

  • Claudio Dappiaggi, D. Siemssen, Hadamard states for the vector potential on asymptotically flat spacetimes, Rev. Math. Phys. 25, 1 (2013)

  • Claudio Dappiaggi, B. Lang, Quantization of Maxwell’s equations on curved backgrounds and general local covariance, Lett. Math. Phys. 101(3), 265–287 (2012)

Last revised on April 8, 2023 at 10:54:55. See the history of this page for a list of all contributions to it.