The graviton one-loop effective action in cosmological space-times with constant deceleration |
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Authors: | TM Janssen T Prokopec |
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Institution: | Institute for Theoretical Physics and Spinoza Institute, Utrecht University, Leuvenlaan 4, Postbus 80.195, 3508 TD Utrecht, The Netherlands |
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Abstract: | We consider the quantum Friedmann equations which include one-loop vacuum fluctuations due to gravitons and scalar field matter in a FLRW background with constant . After several field redefinitions, to remove the mixing between the gravitational and matter degrees of freedom, we can construct the one-loop correction to the Friedmann equations. Due to cosmological particle creation, the propagators needed in such a calculation are typically infrared divergent. In this paper we construct the graviton and matter propagators, making use of the recent construction of the infrared finite scalar propagators calculated on a compact spatial manifold in Janssen et al. (2008) 1]. The resulting correction to the Friedman equations is suppressed with respect to the tree level contribution by a factor of and shows no secular growth. |
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Keywords: | Quantum fields on curved space-time Semiclassical quantum gravity Cosmology Back-reaction |
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