Perturbative loop corrections and nonlocal gravity

Abstract

Nonlocal gravity has been shown to provide a phenomenologically viable infrared modification of GR. A natural question is whether the required nonlocality can emerge from perturbative quantum loop corrections due to light particles. We show that this is not the case. For the value of the mass scale of the non-local models required by cosmology, the perturbative form factors obtained from the loop corrections, in the present cosmological epoch, are in the regime where they are local. The mechanism behind the generation of the required nonlocality must be more complex, possibly related to strong infrared effects and non-perturbative mass generation for the conformal mode.

4 pages, no figures. v2: minor modifications. To appear in Phys. Rev. D

References in corpus (11)

• Degravitation of the Cosmological Constant and Graviton Width
• Cosmological perturbations and structure formation in nonlocal infrared modifications of general relativity
• Effective Action of Vacuum: Semiclassical Approach
• Cosmological Dark Energy: Prospects for a Dynamical Theory
• Predictive Power of Strong Coupling in Theories with Large Distance Modified Gravity
• Generalised Quadratic Curvature, Non-Local Infrared Modifications of Gravity and Newtonian Potentials
• Non-local gravity and comparison with observational datasets
• Nonlinear structure formation in Nonlocal Gravity
• Non-local gravity with a Weyl-square term
• Stability analysis and future singularity of the $m^{2}R{\square }^{-2}R$ model of non-local gravity
• Non-local formulation of ghost-free bigravity theory

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