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Covariant gauge-natural conservation laws

Marcella Palese·Ekkehart Winterroth
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Abstract

When a gauge-natural invariant variational principle is assigned, to determine {\em canonical} covariant conservation laws, the vertical part of gauge-natural lifts of infinitesimal principal automorphisms -- defining infinitesimal variations of sections of gauge-natural bundles -- must satisfy generalized Jacobi equations for the gauge-natural invariant Lagrangian. {\em Vice versa} all vertical parts of gauge-natural lifts of infinitesimal principal automorphisms which are in the kernel of generalized Jacobi morphisms are generators of canonical covariant currents and superpotentials. In particular, only a few gauge-natural lifts can be considered as {\em canonical} generators of covariant gauge-natural physical charges.

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Marcella Palese, Ekkehart Winterroth. 2006-04-12. Covariant gauge-natural conservation laws. https://doi.org/10.1016/s0034-4877(04)80024-7

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