Variational derivatives in locally Lagrangian field theories and Noether-Bessel-Hagen currents (Q2830816)
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scientific article; zbMATH DE number 6645957
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variational derivatives in locally Lagrangian field theories and Noether-Bessel-Hagen currents |
scientific article; zbMATH DE number 6645957 |
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31 October 2016
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fibered manifold
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jet space
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Lagrangian formalism
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variational sequence
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variational derivative
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cohomology
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symmetry
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conservation law
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Noether current
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Variational derivatives in locally Lagrangian field theories and Noether-Bessel-Hagen currents (English)
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The authors derive a variational counterpart of the Cartan formula for the Lie derivative of forms. The main tool is Krupka's variational sequence. Then it is applied to study variational problems for currents associated to symmetries and invariant variational problems for Lagrangian field theories. More precisely, the authors determine the condition for a Noether-Bessel-Hagen current to be variationally equivalent to a Noether current. They furthermore show that if such a Noether current exists, then it is exact on-shell and it generates a canonical conserved quantity.
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