Noether's theorem: Difference between revisions

Revision as of 07:41, 17 June 2004

Revision as of 09:10, 21 June 2004

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J^\mu\equiv\frac{\partial\mathcal{L}}{\partial(\partial_\mu\phi)}-f^\mu

</math>

which is called the '''Noether current''' associated with the [[symmetry]]. The continuity equation tells us if we [[integrate]] this current over a spacelike[[space-like]] slice, we get a [[conservation law|conserved]] quantity called the [[Noether charge]] (provided, of course, if M is [[compact|noncompact]], the currents fall off sufficiently fast at infinity).

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