GAUGE-NATURAL NOETHER CURRENTS AND CONNECTION FIELDS

DOI10.1142/S0219887811005075zbMath1215.58005OpenAlexW2005623861MaRDI QIDQ5390321

Mauro Francaviglia, Marcella Palese, Ekkehart Winterroth, Marco Ferraris

Publication date: 1 April 2011

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

Full work available at URL: https://doi.org/10.1142/s0219887811005075

zbMATH Keywords

jetsconserved quantitiesCartan connectiongauge-natural bundlesgauge-natural Jacobi equationsgauge-natural Noether currents

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Jets in global analysis (58A20) Variational aspects of group actions in infinite-dimensional spaces (58E40) Natural bundles (58A32)

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Cites Work

• Lagrangian reductive structures on gauge-natural bundles
• Covariant gauge-natural conservation laws
• The relation between the Jacobi morphism and the Hessian in gauge-natural field theories
• Higher order Utiyama-like theorem
• Invariant Theoretical Interpretation of Interaction
• Finite order variational bicomplexes
• Conserved quantities from the equations of motion: with applications to natural and gauge natural theories of gravitation
• Noether's second theorem in a general setting: reducible gauge theories
• CANONICAL CONNECTIONS IN GAUGE-NATURAL FIELD THEORIES
• Non-Linear Field Theories
• Unnamed Item