Unique effective action in five-dimensional Kaluza-Klein theory

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Field Theories In Dimensions Other Than Four

Scientific paper

The problem of gauge and parametrization dependence in self-consistent dimensional reduction of five-dimensional quantum gravity is discussed. It is shown how the modification of the background-field method suggested by Vilkovisky is crucial for obtaining the correct result. We find that there are no physically acceptable self-consistent solutions of the form R4×S1 at the one-loop level.

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