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

References in corpus (7)

• Exact evolution equation for the effective potential
• Fixed points of quantum gravity in extra dimensions
• Structural aspects of asymptotically safe black holes
• On fixed points of quantum gravity
• Fixed-Functionals of three-dimensional Quantum Einstein Gravity
• Asymptotically Safe Cosmology
• Modulated Ground State of Gravity Theories with Stabilized Conformal Factor

Cited by in corpus (11)

• The nonperturbative functional renormalization group and its applications
• Towards apparent convergence in asymptotically safe quantum gravity
• Quantum gravity on foliated spacetime - asymptotically safe and sound
• Renormalization group fixed points of foliated gravity-matter systems
• Graviton fluctuations erase the cosmological constant
• 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