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| Description
| - Je zkoumána globální struktura Hilbert-Yang-Millsova funkcionálu v rámci teorie prodloužení hlavních fibrovaných prostorů a globální variační teorie na fibrovaných varietách. Konstruujeme hlavní Lepageův ekvivalent tohoto lagrangiánu a odvozujeme první variační formuli. Ukazujeme, že Noetherovské toky, asociované s isomorfismy podkladových struktur se štěpí na několik členů; jedním z nich je Komar-Yang-Millsův superpotenciál. Jako důsledky invariance jsou odvozeny Noetherovské zákony zachování pro globálni toky. Jako příklad je nalezen lokální vzorec pro Komar-Yang-Millsův superpotenciál Reisnsnerova-Nordströmova řešení Einsteinových rovnic (cs)
- The global variational functional, dened by the Hilbert-Yang-Mills Lagrangian over a smooth manifold, is investigated within the framework of prolongation theory of principal ber bundles, and global variational theory on bered manifolds. The principal Lepage equivalent of this Lagrangian is constructed, and the corresponding innitesimal rst variation formula is obtained. It is shown, in particular, that the Noether currents, associated with isomorphisms of the underlying geometric structures, split naturally to several terms, one of which is exterior derivative of the Komar-Yang-Mills superpotential. Consequences of invariance of the Hilbert-Yang-Mills Lagrangian under isomorphisms of underlying geometric structures such as Noether?s conservation laws for global currents are then established. As an example, a general formula for the Komar-Yang-Mills superpotential of the Reissner-Nordstrom solution of the Einstein equations is found.
- The global variational functional, dened by the Hilbert-Yang-Mills Lagrangian over a smooth manifold, is investigated within the framework of prolongation theory of principal ber bundles, and global variational theory on bered manifolds. The principal Lepage equivalent of this Lagrangian is constructed, and the corresponding innitesimal rst variation formula is obtained. It is shown, in particular, that the Noether currents, associated with isomorphisms of the underlying geometric structures, split naturally to several terms, one of which is exterior derivative of the Komar-Yang-Mills superpotential. Consequences of invariance of the Hilbert-Yang-Mills Lagrangian under isomorphisms of underlying geometric structures such as Noether?s conservation laws for global currents are then established. As an example, a general formula for the Komar-Yang-Mills superpotential of the Reissner-Nordstrom solution of the Einstein equations is found. (en)
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| Title
| - Geometric structure of the Hilbert-Yang-Mills functional
- Geometrická struktura Hilbert-Yang-Millsova funkcionálu (cs)
- Geometric structure of the Hilbert-Yang-Mills functional (en)
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| skos:prefLabel
| - Geometric structure of the Hilbert-Yang-Mills functional
- Geometrická struktura Hilbert-Yang-Millsova funkcionálu (cs)
- Geometric structure of the Hilbert-Yang-Mills functional (en)
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| skos:notation
| - RIV/61989592:15310/08:00005361!RIV09-MSM-15310___
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| http://linked.open...avai/riv/aktivita
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| http://linked.open...avai/riv/aktivity
| - P(GA201/06/0922), Z(MSM6198959214)
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| http://linked.open...iv/cisloPeriodika
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| http://linked.open...vai/riv/dodaniDat
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| http://linked.open...aciTvurceVysledku
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| http://linked.open.../riv/druhVysledku
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| http://linked.open...iv/duvernostUdaju
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| http://linked.open...titaPredkladatele
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| http://linked.open...dnocenehoVysledku
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| http://linked.open...ai/riv/idVysledku
| - RIV/61989592:15310/08:00005361
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| http://linked.open...riv/jazykVysledku
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| http://linked.open.../riv/klicovaSlova
| - variational principle; Lagrangian; Noether?s invariance; jet prolongation; gauge natural structure (en)
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| http://linked.open.../riv/klicoveSlovo
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| http://linked.open...odStatuVydavatele
| - SG - Singapurská republika
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| http://linked.open...ontrolniKodProRIV
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| http://linked.open...i/riv/nazevZdroje
| - International Journal of Geometric Methods in Modern Physics
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| http://linked.open...in/vavai/riv/obor
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| http://linked.open...ichTvurcuVysledku
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| http://linked.open...cetTvurcuVysledku
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| http://linked.open...vavai/riv/projekt
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| http://linked.open...UplatneniVysledku
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| http://linked.open...v/svazekPeriodika
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| http://linked.open...iv/tvurceVysledku
| - Paták, Aleš
- Krupka, Demeter
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| http://linked.open...n/vavai/riv/zamer
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| issn
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| number of pages
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| http://localhost/t...ganizacniJednotka
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| is http://linked.open...avai/riv/vysledek
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