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It is shown that the one-loop effective action of unimodular gravity is the same as that of ordinary gravity, restricted to unimodular metrics. The only difference is in the treatment of the global scale degree of freedom and of the cosmological term. A constant vacuum energy does not gravitate, addressing one aspect of the cosmological constant problem.
We present the first attempt to find the holographic interpretation of running of the Newton's constant in 4‐dimensional quantum theory. We compute its scale‐dependence using functional renormalization group methods based on a Wilsonian momentum cutoff. We show the details of the corresponding holographic RG flow in 5‐dimensional spacetime with minimally coupled scalar field in the bulk. In this domain...
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