Unique one-loop effective action for the six-dimensional Einstein-Hilbert action

Details Unique one-loop effective action for the six-dimensional Einstein-Hilbert action Unique one-loop effective action for the six-dimensional Einstein-Hilbert action

Jul 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrvl..67..422c&link_type=abstract

Physical Review Letters, Volume 67, Issue 4, July 22, 1991, pp.422-425

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9

Field Theories In Dimensions Other Than Four

Scientific paper

In this Letter we give the gauge-independent divergent part of the one-loop correction to the effective action for the six-dimensional Einstein-Hilbert action, including a cosmological constant. We extend the methods of Barvinsky-Vilkovisky from four to higher dimensions, including the Vilkovisky-DeWitt correction, to obtain the unique counterterms for an arbitrary background field. All one-loop operators are given for N dimensions; however, due to the complexity of the Schwinger-DeWitt expansion, going beyond six dimensions to eight or ten will probably require restricting the background.

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