nLab Dirac monopole




physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes

theory (physics), model (physics)

experiment, measurement, computable physics

\infty-Chern-Weil theory

Differential cohomology



A circle bundle with connection with non-trivial first Chern class, regarded as a monopole.

For more see at flux and at Dirac charge quantization.


The trajectory of an electron in the vicinity of a magnetic monopole is (e.g. Ferraro (1956) §306) a helix on the surface of a cone in space whose vertex is the location of the magnetic monopole:


Textbook accounts:

The original argument that magentic monopoles may appear in grand unified theories:

See also:

Instead of removing the singular locus of the monopole from spacetime (so that Maxwell's equations without magnetic sources are satisfied on the complement) one may retain the monopole locus and change the model of the electromagnetic field from a connection on a U(1)-principal bundle to a suitable trivialization of a circle 2-bundle with connection (a “bundle gerbewith connection):

Last revised on February 7, 2024 at 08:34:54. See the history of this page for a list of all contributions to it.