Exact RG Flow Equations and Quantum Gravity

Abstract

We discuss the different forms of the functional RG equation and their relation to each other. In particular we suggest a generalized background field version that is close in spirit to the Polchinski equation as an alternative to the Wetterich equation to study Weinberg's asymptotic safety program for defining quantum gravity, and argue that the former is better suited for this purpose. Using the heat kernel expansion and proper time regularization we find evidence in support of this program in agreement with previous work.

Typos corrected, version to be published in JHEP, 23 pages

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• On Exact Proper Time Wilsonian RG Flows
• Regular Black Holes from Proper-Time flow in Quantum Gravity and their Quasinormal modes, Shadow and Hawking radiation
• Dimensional regularization, Wilsonian RG, and the Naturalness/Hierarchy problem
• Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm
• Structural aspects of FRG in quantum tunnelling computations
• The weak-gravity bound and the need for spin in asymptotically safe matter-gravity models
• Cutoff Function in Holographic RG Flow
• On the regularization of Lifshitz-type field theories
• BRST, Ward identities, gauge dependence, and a functional renormalization group
• Gravitationally Induced UV Completion of an $O(N)$ Scalar Theory