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Exact renormalization group with optimal scale and its application to cosmology. (English) Zbl 1210.83048

Summary: Assuming an effective gravitational action with scale-dependent coupling constants, a consistency condition for the local form of the cut-off scale is derived. The approach is applied to homogeneous cosmology and running couplings with an ultraviolet fixed point. Within the given approach this allows us to derive bounds on the value of the fixed point.

MSC:

83F05 Relativistic cosmology
81T17 Renormalization group methods applied to problems in quantum field theory
83C45 Quantization of the gravitational field
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