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- Noether_identities abstract "In mathematics, Noether identities characterize the degeneracy of a Lagrangian system. Given a Lagrangian system and its Lagrangian L, Noether identities can be defined as a differential operator whose kernel contains a range of the Euler–Lagrange operator of L. Any Euler–Lagrange operator obeys Noether identities which therefore are separated into the trivial and non-trivial ones. A Lagrangian L is called degenerate if the Euler–Lagrange operator of L satisfies non-trivial Noether identities. In this case Euler–Lagrange equations are not independent.Noether identities need not be independent, but satisfy first-stage Noether identities, which are subject to the second-stage Noether identities and so on. Higher-stage Noether identities also are separated into the trivial and non-trivial once. A degenerate Lagrangian is called reducible if there exist non-trivial higher-stage Noether identities. Yang–Mills gauge theory and gauge gravitation theory exemplify irreducible Lagrangian field theories.Different variants of second Noether’s theorem state the one-to-one correspondence between the non-trivial reducible Noether identities and the non-trivial reducible gauge symmetries. Formulated in a very general setting, second Noether’s theorem associates to the Koszul–Tate complex of reducible Noether identities, parameterized by antifields, the BRST complex of reducible gauge symmetries parameterized by ghosts. This is the case of covariant classical field theory and Lagrangian BRST theory.".
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- Noether_identities wikiPageExternalLink 0204079.
- Noether_identities wikiPageID "23607989".
- Noether_identities wikiPageLength "2906".
- Noether_identities wikiPageOutDegree "28".
- Noether_identities wikiPageRevisionID "637818802".
- Noether_identities wikiPageWikiLink BRST_formalism.
- Noether_identities wikiPageWikiLink BRST_quantization.
- Noether_identities wikiPageWikiLink Batalin–Vilkovisky_formalism.
- Noether_identities wikiPageWikiLink Category:Calculus_of_variations.
- Noether_identities wikiPageWikiLink Category:Differential_equations.
- Noether_identities wikiPageWikiLink Category:Mathematical_identities.
- Noether_identities wikiPageWikiLink Category:Theoretical_physics.
- Noether_identities wikiPageWikiLink Covariant_classical_field_theory.
- Noether_identities wikiPageWikiLink Differential_operator.
- Noether_identities wikiPageWikiLink Emmy_Noether.
- Noether_identities wikiPageWikiLink Euler–Lagrange_equation.
- Noether_identities wikiPageWikiLink Faddeev–Popov_ghost.
- Noether_identities wikiPageWikiLink Gauge_gravitation_theory.
- Noether_identities wikiPageWikiLink Gauge_symmetry_(mathematics).
- Noether_identities wikiPageWikiLink Gennadi_Sardanashvily.
- Noether_identities wikiPageWikiLink Jim_Stasheff.
- Noether_identities wikiPageWikiLink Lagrangian_system.
- Noether_identities wikiPageWikiLink Noethers_second_theorem.
- Noether_identities wikiPageWikiLink Variational_bicomplex.
- Noether_identities wikiPageWikiLink Yang–Mills_theory.
- Noether_identities wikiPageWikiLinkText "Noether identities".
- Noether_identities wikiPageWikiLinkText "reducible degenerate".
- Noether_identities hasPhotoCollection Noether_identities.
- Noether_identities subject Category:Calculus_of_variations.
- Noether_identities subject Category:Differential_equations.
- Noether_identities subject Category:Mathematical_identities.
- Noether_identities subject Category:Theoretical_physics.
- Noether_identities type Physic.
- Noether_identities type Theorem.
- Noether_identities type Theory.
- Noether_identities comment "In mathematics, Noether identities characterize the degeneracy of a Lagrangian system. Given a Lagrangian system and its Lagrangian L, Noether identities can be defined as a differential operator whose kernel contains a range of the Euler–Lagrange operator of L. Any Euler–Lagrange operator obeys Noether identities which therefore are separated into the trivial and non-trivial ones. A Lagrangian L is called degenerate if the Euler–Lagrange operator of L satisfies non-trivial Noether identities.".
- Noether_identities label "Noether identities".
- Noether_identities sameAs m.06zmzg9.
- Noether_identities sameAs Тождества_Нётер.
- Noether_identities sameAs Q7480290.
- Noether_identities sameAs Q7480290.
- Noether_identities wasDerivedFrom Noether_identities?oldid=637818802.
- Noether_identities isPrimaryTopicOf Noether_identities.