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Title

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

Authors; ;
KeywordsConnections
gauge invariance
interaction
jet bundles
Lagrangian density
principal bundle
Issue Date2000
CitationJ. Phys. A. Mathematical and General
Series33
3253-3267
AbstractThe 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 $\lambda _{r}(z)(w)=z^{r}\,w$, $z\in U(1)$, $w\in \mathbb{C}$.
URIhttp://hdl.handle.net/10261/21277
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