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Noether conservation laws issue from the gauge invariance of an Euler-Lagrange operator, but not a Lagrangian - MaRDI portal

Noether conservation laws issue from the gauge invariance of an Euler-Lagrange operator, but not a Lagrangian

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Publication:6468862

arXivmath-ph/0302012MaRDI QIDQ6468862

G. Sardanashvily

Publication date: 6 February 2003

Abstract: As is well known, there are different Lagrangians which lead to the same Euler-Lagrange operator. The gauge invariance of a Lagrangian guarantees that of the corresponding Euler-Lagrange operator, but not vice versa. We show that the gauge invariance of an Euler-Lagrange operator, but not a Lagrangian results in Noether conservation laws.












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