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In gauge theory cocycles in differential cohomology model gauge fields.
By definition, every differential cohomology theory comes with a characteristic curvature form morphism
the (generalized) Chern character.
For a cocycle representing a gauge field in gauge theory, its image is the field strength of the gauge field. If we think of this cocycle as being (a generalization of) a connection on a bundle, this is essentially the curvature of that connection.
Often gauge fields are named after their field strength. For instance the field strength of the electromagnetic field is the -form whose components are the electric and the magnetic fields.
gauge field: models and components
Last revised on January 7, 2013 at 21:53:42. See the history of this page for a list of all contributions to it.