Effective Action from the Functional Renormalization Group

Abstract

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.

arXiv commentrevised version, in agreement with journal version, citations added, 44 pages, 1 table

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Cited by in corpus (9)

• Asymptotic Safety: Swampland or Wonderland?
• Graviton-Mediated Scattering Amplitudes from the Quantum Effective Action
• Gravitational Pair Production and Black Hole Evaporation
• Formation and evaporation of quantum black holes from the decoupling mechanism in quantum gravity
• Functional Renormalization and $\overline{\text{MS}}$
• Renormalizability of nonlocal quantum gravity coupled to matter
• Ultraviolet Finiteness or Asymptotic Safety in Higher Derivative Gravitational Theories
• Causality, unitarity and stability in quantum gravity: a non-perturbative perspective
• On the reconstruction problem in Quantum Gravity