Noether charge
E160630
A Noether charge is a conserved quantity associated with a continuous symmetry of a physical system, arising from Noether's theorem.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Noether charge canonical | 2 |
| Noether current | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1382794 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Noether charge Context triple: [Noether's theorem, usesConcept, Noether charge]
-
A.
Noether's theorem
Noether's theorem is a fundamental result in theoretical physics and mathematics that links continuous symmetries of a physical system to corresponding conservation laws, such as energy or momentum conservation.
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B.
Poincaré group
The Poincaré group is the fundamental symmetry group of special relativity, combining spacetime translations with Lorentz transformations in four-dimensional Minkowski space.
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C.
Gell-Mann–Nishijima formula
The Gell-Mann–Nishijima formula is a key relation in particle physics that connects a particle’s electric charge to its isospin and hypercharge, helping classify hadrons within the quark model.
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D.
Peierls bracket
The Peierls bracket is a covariant generalization of the Poisson bracket used in quantum field theory and classical field theory to define commutation relations in a way that respects spacetime causality.
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E.
Feynman–Hellmann theorem
The Feynman–Hellmann theorem is a result in quantum mechanics that relates the derivative of an energy eigenvalue with respect to a parameter in the Hamiltonian to the expectation value of the corresponding derivative of the Hamiltonian.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Noether charge Target entity description: A Noether charge is a conserved quantity associated with a continuous symmetry of a physical system, arising from Noether's theorem.
-
A.
Noether's theorem
Noether's theorem is a fundamental result in theoretical physics and mathematics that links continuous symmetries of a physical system to corresponding conservation laws, such as energy or momentum conservation.
-
B.
Poincaré group
The Poincaré group is the fundamental symmetry group of special relativity, combining spacetime translations with Lorentz transformations in four-dimensional Minkowski space.
-
C.
Gell-Mann–Nishijima formula
The Gell-Mann–Nishijima formula is a key relation in particle physics that connects a particle’s electric charge to its isospin and hypercharge, helping classify hadrons within the quark model.
-
D.
Peierls bracket
The Peierls bracket is a covariant generalization of the Poisson bracket used in quantum field theory and classical field theory to define commutation relations in a way that respects spacetime causality.
-
E.
Feynman–Hellmann theorem
The Feynman–Hellmann theorem is a result in quantum mechanics that relates the derivative of an energy eigenvalue with respect to a parameter in the Hamiltonian to the expectation value of the corresponding derivative of the Hamiltonian.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
concept in theoretical physics
ⓘ
conserved quantity ⓘ physical quantity ⓘ |
| appliesTo |
Lagrangian systems
ⓘ
classical mechanics ⓘ field theory ⓘ quantum field theory ⓘ |
| associatedWith |
conservation law
ⓘ
continuous symmetry ⓘ |
| basedOn | Noether's theorem ⓘ |
| conservedIf |
equations of motion hold
ⓘ
symmetry is exact ⓘ |
| correspondsTo |
internal gauge symmetry
ⓘ
rotation symmetry ⓘ space translation symmetry ⓘ time translation symmetry ⓘ |
| definedFor | continuous symmetry transformation ⓘ |
| generalizedTo |
Noether charge for higher-form symmetries
ⓘ
Noether charge in curved spacetime ⓘ |
| hasDomain | systems with differentiable action functional ⓘ |
| hasProperty |
conserved in time under appropriate conditions
ⓘ
generator of symmetry transformations in phase space ⓘ often expressed as spatial integral of a current density ⓘ |
| mathematicallyExpressedAs | integral of time component of Noether current over a spatial hypersurface ⓘ |
| mayFailToBeConservedIf |
explicit symmetry breaking occurs
ⓘ
symmetry is anomalous ⓘ |
| namedAfter | Emmy Noether ⓘ |
| playsRoleIn |
algebra of observables
ⓘ
classification of symmetries ⓘ definition of conserved currents ⓘ derivation of Ward identities ⓘ quantization of constrained systems ⓘ |
| relatedTo |
Hamiltonian formalism
ⓘ
Lie group symmetry ⓘ Noether current ⓘ
linked to:
Noether charge
canonical momentum ⓘ symmetry generator ⓘ |
| requires | invariance of the action under a continuous group of transformations ⓘ |
| usedIn |
black hole thermodynamics
ⓘ
conformal field theory ⓘ gauge theories ⓘ general relativity ⓘ statistical field theory ⓘ string theory ⓘ supersymmetry ⓘ |
| yields |
angular momentum for rotational symmetry
ⓘ
electric charge for global U(1) symmetry ⓘ energy for time translation symmetry ⓘ linear momentum for space translation symmetry ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Noether charge Description of subject: A Noether charge is a conserved quantity associated with a continuous symmetry of a physical system, arising from Noether's theorem.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.