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Gauge symmetry (mathematics)
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Lagrangian satisfy Noether's first theorem, but the corresponding conserved current Jμ{\displaystyle J^{\mu }} takes a particular superpotential formCanonical (602 words) [view diff] exact match in snippet view article find links to article
formulation of general relativity Canonical stress–energy tensor, a conserved current associated with translations through space and time Canonical theoryTibicen (1,731 words) [view diff] exact match in snippet view article find links to article
under Lyristes by many authors, suppression of the name Tibicen also conserved current usage. As an officially rejected name, Tibicen is now an item of historyCurrent density (2,739 words) [view diff] no match in snippet view article find links to article
the time evolution of electric fields in general. Since charge is conserved, current density must satisfy a continuity equation. Here is a derivation fromSymmetry (3,883 words) [view diff] exact match in snippet view article find links to article
a corresponding conserved quantity such as energy or momentum; a conserved current, in Noether's original language); and also, Wigner's classificationStress–energy tensor (3,465 words) [view diff] exact match in snippet view article find links to article
action for more information. Noether's theorem implies that there is a conserved current associated with translations through space and time; for details seeGluon field strength tensor (1,946 words) [view diff] exact match in snippet view article find links to article
j_{b}^{\nu }={\bar {\psi }}\gamma ^{\nu }t^{b}\psi ,} which is a conserved current since color charge is conserved. In other words, the color four-currentAccidental symmetry (697 words) [view diff] exact match in snippet view article find links to article
symmetries. In the latter case, Noether's theorem also guarantees a conserved current. "Accidental" symmetry is the name given to observed degeneraciesGauge theory (6,523 words) [view diff] exact match in snippet view article find links to article
where the Ta matrices are generators of the SO(n) group. There is one conserved current for every generator. Now, demanding that this Lagrangian should haveKlein–Gordon equation (5,837 words) [view diff] exact match in snippet view article find links to article
∂μJμ(x)=0.{\displaystyle \partial _{\mu }J^{\mu }(x)=0.} The form of the conserved current can be derived systematically by applying Noether's theorem to theGauge fixing (4,126 words) [view diff] exact match in snippet view article find links to article
evolution equations of the electromagnetic field interacting with a conserved current,[citation needed] which is an advantage for the quantization of theNon-topological soliton (5,904 words) [view diff] exact match in snippet view article find links to article
\,\,\,\,\,\,\,\,\,\,\,\,\,(1)} Since the U(1) symmetry gives the conserved current jμ=−i(Φ∗∂μΦ−∂μΦ∗Φ),{\displaystyle j_{\mu }=-i(\Phi ^{*}\partial _{\mu