The Large Distance Limit of the Gravitational Effective Action in Hyperbolic Backgrounds

Details The Large Distance Limit of the Gravitational Effective Action in Hyperbolic Backgrounds The Large Distance Limit of the Gravitational Effective Action in Hyperbolic Backgrounds

1994-10-17

arxiv.org/abs/hep-th/9410112v1

Class.Quant.Grav.12:1-16,1995; Erratum-ibid.12:2355,1995

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Latex, UTF 328

Scientific paper

10.1088/0264-9381/12/1/002

The one-loop effective action for D-dimensional quantum gravity with negative cosmological constant, is investigated in space-times with compact hyperbolic spatial section. The explicit expansion of the effective action as a power series of the curvature on hyperbolic background is derived, making use of heat-kernel and zeta-regularization techniques. It is discussed, at one-loop level, the Coleman-Weinberg type suppression of the cosmological constant, proposed by Taylor and Veneziano.

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