Noether's theorem: Difference between revisions

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</math>.
 
You might immediately recognize this as the [[continuity equation]] for the current
:<math>
J^\mu\equiv\frac{\partial\mathcal{L}}{\partial(\partial_\mu\phi)}-f^\mu
</math>
</math>, which is called the [[Noether current]] associated with the [[symmetry]]. The continuity equation tells us if we [[integrate]] this current over a spacelike slice, we get a [[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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