2014•Journal of Physics Conference SeriesOpen access

Generalized symmetries generating Noether currents and canonical conserved quantities

Marcella Palese, Ekkehart Winterroth

Abstract

We determine the condition for a Noether-Bessel-Hagen current, associated with a generalized symmetry, to be variationally equivalent to a Noether current for an invariant Lagrangian. We show that, if it exists, this Noether current is exact on-shell and generates a canonical conserved quantity.

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Key concepts: Noether's theorem, Conserved current, Conserved quantity, Homogeneous space, Current (fluid), Invariant (physics), Symmetry (geometry), Lagrangian