Gauge invariance on interaction $U(1)$-bundles

The structure of the algebra of gauge-invariant differential forms on the bundle $C\times _{M}E$ is determined, where $p\colon C\rightarrow M$ is the bundle of connections of a $U(1)$-principal bundle $\pi \colon P\rightarrow M$, and $E\rightarrow M$ is the associated bundle to $P$ by the representa...

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Detalles Bibliográficos
Autores: Castrillón López, Marco, Hernández Encinas, Luis, Muñoz Masqué, Jaime
Tipo de recurso: artículo
Fecha de publicación:2000
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/21277
Acceso en línea:http://hdl.handle.net/10261/21277
Access Level:acceso abierto
Palabra clave:Connections
Gauge invariance
Interactions
jet bundles
Lagrangian density
Principal bundle
Descripción
Sumario:The structure of the algebra of gauge-invariant differential forms on the bundle $C\times _{M}E$ is determined, where $p\colon C\rightarrow M$ is the bundle of connections of a $U(1)$-principal bundle $\pi \colon P\rightarrow M$, and $E\rightarrow M$ is the associated bundle to $P$ by the representation $\lambda _{r}$, $r\in \mathbb{N}$, of $U(1)$ on $\mathbb{C}$ given by $\lambda _{r}(z)(w)=z^{r}\,w$, $z\in U(1)$, $w\in \mathbb{C}$.