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

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arxiv hep-th/9410112 v1 pith:AFOE7PEF submitted 1994-10-17 hep-th

classification hep-th
keywords actioneffectivehyperbolicconstantcosmologicalone-loopbackgroundbackgrounds
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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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