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

A. A. Btsenko·A. D. Odintsov·S. Zerbini
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Abstract

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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A. A. Btsenko, A. D. Odintsov, S. Zerbini. 1994-10-17. The Large Distance Limit of the Gravitational Effective Action in Hyperbolic Backgrounds. https://doi.org/10.1088/0264-9381%2F12%2F1%2F002

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