nLab charge of a conserved current



Variational calculus


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Let XX be a (spacetime) smooth manifold of dimension nn , EXE \to X a field bundle and LΩ n,0(j E)L \in \Omega^{n,0}(j_\infty E) a Lagrangian.

For jΩ n1,pj \in \Omega^{n-1,p} a conserved current and ΣX\Sigma \subset X a submanifold of dimension n1n-1, the charge of jj relative to Σ\Sigma is the integral

Q Σ= Σj. Q_\Sigma = \int_\Sigma j \,.


gauge field: models and components

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gauge fieldconnection on a bundlecocycle in differential cohomology
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Last revised on June 15, 2022 at 07:28:01. See the history of this page for a list of all contributions to it.