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A continuous global symmetry of the action yields a conserved current on equations of motion, subject to boundary and gauge qualifications.
wp-physics-noether_theoremnlab-physics-noether_theoremtong-qftEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Continuous global action symmetries yield Noether currents on shell.
Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.
wp-physics-noether_theoremnlab-physics-noether_theoremwp-physics-global_symmetrynlab-physics-global_symmetryEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
The theorem constructs a current, subject to improvement ambiguities.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
wp-physics-noether_currentnlab-physics-noether_currentwp-physics-noether_theoremnlab-physics-noether_theorem