About: Higher order Utiyama's invariant interaction

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In this paper we prove higher order version of the Utiyama's invariant interaction of a particle and a gauge field (a principal connection on a principal bundle). To describe the Utiyama's interaction in order $r\ge 2$ we have to use an auxiliary gravitational field (a linear symmetric connection on the base manifold). We prove that any natural (invariant) operator of order $s$ in the gravitational field, of order $r$ in the gauge field and of order $k$ in the particle field, $s,r\ge k-1, \, s\ge r-2$, with values in a $(1,0)$-order $G$-gauge-natural bundle factorizes through the curvature tensors of both connections, the particle field and their covariant differentials up to sufficiently high orders. The covariant differentials are considered with respect to both connections. In this paper we prove higher order version of the Utiyama's invariant interaction of a particle and a gauge field (a principal connection on a principal bundle). To describe the Utiyama's interaction in order $r\ge 2$ we have to use an auxiliary gravitational field (a linear symmetric connection on the base manifold). We prove that any natural (invariant) operator of order $s$ in the gravitational field, of order $r$ in the gauge field and of order $k$ in the particle field, $s,r\ge k-1, \, s\ge r-2$, with values in a $(1,0)$-order $G$-gauge-natural bundle factorizes through the curvature tensors of both connections, the particle field and their covariant differentials up to sufficiently high orders. The covariant differentials are considered with respect to both connections. (en)
Title	Higher order Utiyama's invariant interaction Higher order Utiyama's invariant interaction (en)
skos:prefLabel	Higher order Utiyama's invariant interaction Higher order Utiyama's invariant interaction (en)
skos:notation	RIV/00216224:14310/07:00020140!RIV10-MSM-14310___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/05/0523), Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Janyška, Josef
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 / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	424120
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/07:00020140
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Gauge-natural bundle; natural operator; principal bundle; principal connection; Utiyama-like theorem; reduction theorem (en)
http://linked.open.../riv/klicoveSlovo	natural operator principal bundle reduction theorem Utiyama-like theorem Gauge-natural bundle principal connection
http://linked.open...odStatuVydavatele	PL - Polská republika
http://linked.open...ontrolniKodProRIV	[D96F3E35A34E]
http://linked.open...i/riv/nazevZdroje	REPORTS ON MATHEMATICAL PHYSICS
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Geometric structures on fibered manifolds
http://linked.open...UplatneniVysledku	2007
http://linked.open...v/svazekPeriodika	59
http://linked.open...iv/tvurceVysledku	Janyška, Josef
http://linked.open...ain/vavai/riv/wos	000244493400005
http://linked.open...n/vavai/riv/zamer	Matematické struktury a jejich fyzikální aplikace
issn	0034-4877
number of pages	18 (xsd:int)
http://localhost/t...ganizacniJednotka	14310

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