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arXiv · hep-th/0511188

Improved Action Functionals in Non-Perturbative Quantum Gravity

Alfio Bonanno·Giampiero Esposito·Claudio Rubano
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Abstract

Models of gravity with variable G and Lambda have acquired greater relevance after the recent evidence in favour of the Einstein theory being non-perturbatively renormalizable in the Weinberg sense. The present paper builds a modified Arnowitt-Deser-Misner (ADM) action functional for such models which leads to a power-law growth of the scale factor for pure gravity and for a massless phi**4 theory in a Universe with Robertson-Walker symmetry, in agreement with the recently developed fixed-point cosmology. Interestingly, the renormalization-group flow at the fixed point is found to be compatible with a Lagrangian description of the running quantities G and Lambda.

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Alfio Bonanno, Giampiero Esposito, Claudio Rubano. 2005-11-18. Improved Action Functionals in Non-Perturbative Quantum Gravity. https://doi.org/10.1142/s0217751x05024626

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