About: Canonical connections in gauge-natural field theories

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We investigate canonical aspects concerning the relation between symmetries and conservation laws in gauge-natural field theories. In particular, we find that a canonical spinor connection can be selected by the simple requirement of the global existence of canonical superpotentials for the Lagrangian describing the coupling of gravitational and Fermionic fields. In fact, the naturality of a suitably defined variational Lagragian implies the existence of an associated energy-momentum conserved current. Such a current defines a Hamiltonian form in the corresponding phase space; we show that an associated Hamiltonian connection is canonically defined along the kernel of the generalized gauge-natural Jacobi morphism and uniquely characterizes the canonical spinor connection. We investigate canonical aspects concerning the relation between symmetries and conservation laws in gauge-natural field theories. In particular, we find that a canonical spinor connection can be selected by the simple requirement of the global existence of canonical superpotentials for the Lagrangian describing the coupling of gravitational and Fermionic fields. In fact, the naturality of a suitably defined variational Lagragian implies the existence of an associated energy-momentum conserved current. Such a current defines a Hamiltonian form in the corresponding phase space; we show that an associated Hamiltonian connection is canonically defined along the kernel of the generalized gauge-natural Jacobi morphism and uniquely characterizes the canonical spinor connection. (en)
Title	Canonical connections in gauge-natural field theories Canonical connections in gauge-natural field theories (en)
skos:prefLabel	Canonical connections in gauge-natural field theories Canonical connections in gauge-natural field theories (en)
skos:notation	RIV/00216224:14410/08:00027969!RIV10-MSM-14410___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(LC505)
http://linked.open...iv/cisloPeriodika	6
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Winterroth, Ekkehart
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Masarykova univerzita / Pedagogická fakulta
http://linked.open...dnocenehoVysledku	358781
http://linked.open...ai/riv/idVysledku	RIV/00216224:14410/08:00027969
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Jets; gauge-natural bundles; connections (en)
http://linked.open.../riv/klicoveSlovo	connections Jets gauge-natural bundles
http://linked.open...odStatuVydavatele	SG - Singapurská republika
http://linked.open...ontrolniKodProRIV	[EA1853C62382]
http://linked.open...i/riv/nazevZdroje	Int. J. Geom. Methods Mod. Phys.
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Eduard Čech Center for Algebra and Geometry
http://linked.open...UplatneniVysledku	2008
http://linked.open...v/svazekPeriodika	5
http://linked.open...iv/tvurceVysledku	Winterroth, Ekkehart Ferraris, Marco Francaviglia, Mauro Palese, Marcella
issn	0219-8878
number of pages	16 (xsd:int)
http://localhost/t...ganizacniJednotka	14410

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