Exact Renormalization Group and Running Newtonian Coupling in Higher Derivative Gravity

Abstract

We discuss exact renormalization group (RG) in $R^2$-gravity using effective average action formalism. The truncated evolution equation for such a theory on De Sitter background leads to the system of nonperturbative RG equations for cosmological and gravitational coupling constants. Approximate solution of these RG equations shows the appearence of antiscreening and screening behaviour of Newtonian coupling what depends on higher derivative coupling constants.

Latex file, 9 pages

References in corpus (3)

• On the Quantum Corrections to the Newtonian Potential
• GUTs in Curved Spacetime: Running Gravitational Constants, Newtonian Potential and the Quantum Corrected Gravitational Equations
• Renormalization group and logarithmic corrections to scaling relations in conformal sector of 4D gravity

Cited by in corpus (12)

• Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
• Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation
• Exact Renormalization Group Equations. An Introductory Review
• Ultraviolet Fixed Point and Generalized Flow Equation of Quantum Gravity
• Flow Equation of Quantum Einstein Gravity in a Higher-Derivative Truncation
• Non-Trivial Ultraviolet Fixed Point in Quantum Gravity
• Fixed Points of Higher Derivative Gravity
• Cosmology of the Planck Era from a Renormalization Group for Quantum Gravity
• Is Quantum Einstein Gravity Nonperturbatively Renormalizable?
• A class of nonlocal truncations in Quantum Einstein Gravity and its renormalization group behavior
• Nonperturbative renomalization group for Einstein gravity with matter
• Regulator dependence of fixed points in quantum Einstein gravity with $R^2$ truncation