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Title: Some global properties and invariance of bundle metrics in the Kaluza-Klein scheme
Authors: Oh, C.H. 
Singh, K. 
Lai, C.H. 
Issue Date: 1988
Citation: Oh, C.H.,Singh, K.,Lai, C.H. (1988). Some global properties and invariance of bundle metrics in the Kaluza-Klein scheme. Journal of Mathematical Physics 29 (12) : 2641-2652. ScholarBank@NUS Repository.
Abstract: It is shown that the transition functions that give the global structure of the fiber bundle play an important role in the construction of the metric. The invariance properties of this metric under general gauge transformations are discussed and it is found that the usual requirement of a gauge-invariant metric leads to severe constraints on the gauge fields. To avoid them, it is shown that the metric should instead be covariant with respect to these transformations. Moreover the existence of global actions that are essential in the context of the consistency problem is also discussed. The presence of such actions is studied in both the principal and their associated bundles. In the case of a homogeneous bundle with G/H as the typical fiber, it is shown that a "spliced" bundle with G × N(H)/H as the structure group has to be used. The unified space is then taken as the bundle space of its associated bundle. © 1988 American Institute of Physics.
Source Title: Journal of Mathematical Physics
ISSN: 00222488
Appears in Collections:Staff Publications

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