Critical exponents in quantum Einstein gravity

TL;DR

This paper investigates the critical exponents in quantum Einstein gravity using the functional renormalization group, identifying a fixed point and analyzing regulator dependence to enhance understanding of quantum gravity's phase structure.

Contribution

It introduces a comprehensive calculation of the ultraviolet fixed point and its critical exponent across various regulators, highlighting regulator sensitivity and minimal dependence.

Findings

Identified the non-Gaussian fixed point in quantum Einstein gravity.

Calculated the correlation length exponent for multiple regulators.

Demonstrated minimal regulator sensitivity at Litim's regulator.

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.