Gauge-natural field theories and Noether Theorems: canonical covariant conserved currents

Simple item page
dc.creatorPalese, Marcella
dc.creatorWinterroth, Ekkehart
dc.date2005-12-07
dc.date2007-03-06
dc.date.accessioned2026-07-07T07:50:05Z
dc.date.available2026-07-07T07:50:05Z
dc.descriptionRecently we found that canonical gauge-natural superpotentials are obtained as global sections of the {\em reduced} $(n-2)$-degree and $(2s-1)$-order quotient sheaf on the fibered manifold $\bY_{\zet} \times_{\bX} \mathfrak{K}$, where $\mathfrak{K}$ is an appropriate subbundle of the vector bundle of (prolongations of) infinitesimal right-invariant automorphisms $\barΞ$. In this paper, we provide an alternative proof of the fact that the naturality property $\cL_{j_{s}\barΞ_{H}}ω(λ, \mathfrak{K})=0$ holds true for the {\em new} Lagrangian $ω(λ, \mathfrak{K})$ obtained contracting the Euler--Lagrange form of the original Lagrangian with $\barΞ_{V}\in \mathfrak{K}$. We use as fundamental tools an invariant decomposition formula of vertical morphisms due to Kolář and the theory of iterated Lie derivatives of sections of fibered bundles. As a consequence, we recover the existence of a canonical generalized energy--momentum conserved tensor density associated with $ω(λ, \mathfrak{K})$.
dc.description16 pages, abstract rewritten, body slightly revised, Proc. Winter School "Geometry and Physics" (Srni,CZ 2005)
dc.identifierhttps://arxiv.org/abs/math-ph/0512017
dc.identifierhttp://arxiv.org/abs/math-ph/0512017
dc.identifierRend. Circ. Matem. Palermo, Serie II, Suppl. 79 (2006) 161--174
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125052
dc.subjectMathematical Physics
dc.subject58A20; 58A32; 58E30; 58E40; 58J10; 58J70
dc.titleGauge-natural field theories and Noether Theorems: canonical covariant conserved currents
dc.typetext

Files

Collections

arXiv