Variational derivatives in locally Lagrangian field theories and Noether–Bessel-Hagen currents

DOI10.1142/S0219887816500675zbMath1357.58023arXiv1601.07193OpenAlexW3098312140WikidataQ126366514 ScholiaQ126366514MaRDI QIDQ2830816

Marcella Palese, Ekkehart Winterroth, Francesco Cattafi

Publication date: 31 October 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.07193

zbMATH Keywords

symmetrycohomologyconservation lawLagrangian formalismjet spaceNoether currentfibered manifoldvariational derivativevariational sequence

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Jets in global analysis (58A20) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)

Related Items (6)

Variational sequences, representation sequences and applications in physics ⋮ Geometric integration by parts and Lepage equivalents ⋮ A cohomological obstruction in higher-dimensional Chern–Simons gauge theories ⋮ Topological obstructions in Lagrangian field theories, with an application to 3D Chern–Simons gauge theory ⋮ Variations by generalized symmetries of local Noether strong currents equivalent to global canonical Noether currents ⋮ Symmetry transformations of extremals and higher conserved quantities: Invariant Yang–Mills connections

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• On a bicomplex induced by the variational sequence
• Global variational theory in fibred spaces

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