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The local current associated with a continuous global symmetry by Noether’s theorem, modulo improvement and gauge ambiguities.
wp-physics-noether_currentnlab-physics-noether_currenttong-qftEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Infinitesimal symmetry generators lie in a Lie algebra and enter Noether currents.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
wp-physics-noether_currentnlab-physics-noether_currentsage-lie-algebraThis 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_theoremEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
A conserved charge is obtained by integrating the current over a Cauchy surface under suitable boundary conditions.
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-conserved_chargenlab-physics-conserved_chargewp-physics-noether_currentnlab-physics-noether_currentThis is an authored directed relation from the source endpoint to the target endpoint.
On the equations of motion and with the stated symmetry assumptions, a Noether current obeys a local continuity equation.
Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.
tong-qfttong-standard-model