Geometrická struktura Hilbert-Yang-Millsova funkcionálu

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F08%3A00005361" target="_blank" >RIV/61989592:15310/08:00005361 - isvavai.cz</a>

Výsledek na webu

—

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

Geometric structure of the Hilbert-Yang-Mills functional

Popis výsledku v původním jazyce

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 lawsfor 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.

Název v anglickém jazyce

Geometric structure of the Hilbert-Yang-Mills functional

Popis výsledku anglicky

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 lawsfor 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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

<a href="/cs/project/GA201%2F06%2F0922" target="_blank" >GA201/06/0922: Globální analýza a její aplikace</a><br>

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2008

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Journal of Geometric Methods in Modern Physics

ISSN

0219-8878

e-ISSN

—

Svazek periodika

5

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

19

Strana od-do

—

Kód UT WoS článku

—

EID výsledku v databázi Scopus

—