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Statements

Subject Item
n2:RIV%2F00216224%3A14410%2F08%3A00027969%21RIV10-MSM-14410___
rdf:type
n13:Vysledek skos:Concept
dcterms: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.
dcterms:title
Canonical connections in gauge-natural field theories Canonical connections in gauge-natural field theories
skos:prefLabel
Canonical connections in gauge-natural field theories Canonical connections in gauge-natural field theories
skos:notation
RIV/00216224:14410/08:00027969!RIV10-MSM-14410___
n3:aktivita
n4:P
n3:aktivity
P(LC505)
n3:cisloPeriodika
6
n3:dodaniDat
n5:2010
n3:domaciTvurceVysledku
Winterroth, Ekkehart
n3:druhVysledku
n17:J
n3:duvernostUdaju
n15:S
n3:entitaPredkladatele
n9:predkladatel
n3:idSjednocenehoVysledku
358781
n3:idVysledku
RIV/00216224:14410/08:00027969
n3:jazykVysledku
n8:eng
n3:klicovaSlova
Jets; gauge-natural bundles; connections
n3:klicoveSlovo
n6:Jets n6:gauge-natural%20bundles n6:connections
n3:kodStatuVydavatele
SG - Singapurská republika
n3:kontrolniKodProRIV
[EA1853C62382]
n3:nazevZdroje
Int. J. Geom. Methods Mod. Phys.
n3:obor
n10:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
4
n3:projekt
n16:LC505
n3:rokUplatneniVysledku
n5:2008
n3:svazekPeriodika
5
n3:tvurceVysledku
Ferraris, Marco Winterroth, Ekkehart Palese, Marcella Francaviglia, Mauro
s:issn
0219-8878
s:numberOfPages
16
n14:organizacniJednotka
14410