Effective action from the functional renormalization group

We study the quantum gravitational system coupled to a charged scalar, Dirac fermions, and electromagnetic fields. We use the ``exact'' or ``functional'' renormalization group equation to derive the effective action $\Gamma_0$ by integrating the flow equation from the ultraviolet scale down to $k=0$. The resulting effective action consists of local terms and nonlocal terms with unique coefficients, which could be tested by comparing it with observation.

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