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Abstract
The dependence on the configuration space metric of the Vilkovisky-De Witt effective action in quantum gravity is discussed. As an example d-dimensional Einstein gravity on the flat background R d or R k× T d−k is considered, where the one-loop Vilkovisky-De Witt effective action with the one-parameter dependent configuration space metric is calculated. The dependence on the configuration space metric of the Vilkovisky-De Witt EA in gravity on the space R 4× S 1 has been investigated for the first time by Huggins, Kunstatter, Leivo and Toms.
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