Critical exponents in quantum Einstein gravity

Abstract

The quantum Einstein gravity is treated by the functional renormalization group method using the Einstein-Hilbert action. The ultraviolet non-Gaussian fixed point is determined and its corresponding exponent of the correlation length is calculated for a wide range of regulators. It is shown that the exponent provides a minimal sensitivity to the parameters of the regulator which correspond to the Litim's regulator.

6 pages, 5 figures

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• Impact of topology in foliated Quantum Einstein Gravity
• Infrared limit of quantum gravity
• Critical scaling in the large-$N$ $O(N)$ model in higher dimensions and its possible connection to quantum gravity
• The Numerically Optimized Regulator and the Functional Renormalization Group
• Infrared behavior of Weyl Gravity: Functional Renormalization Group approach
• Optimized regulator for the quantized anharmonic oscillator