Non-local partner to the cosmological constant

Abstract

I show that quantum corrections due to a massive particle generates a non-local term in the gravitational effective action which is of zeroth order in the derivative expansion, much like the cosmological constant. It carries a fixed coefficient which is very much larger than the cosmological constant, and which cannot be fine-tuned. The interaction is active at scales above the particle's mass. This is of the form $m^4(\frac{1}{\square }R{)}_x"<x|\log (\square +m^2)|y>"(\frac{1}{\square }R{)}_y$, and I discuss the meaning of $"<x|\log (\square +m^2)|y>"$ and other aspects of its interpretation.

arXiv comment10 pages, 1 figure, comments and relevant references have been added

References in corpus (20)

• General relativity as an effective field theory: The leading quantum corrections
• Geometric Classification of Conformal Anomalies in Arbitrary Dimensions
• Nonlocal Cosmology
• Quantum Gravitational Corrections to the Nonrelativistic Scattering Potential of Two Masses
• Conserved Currents and the Energy Momentum Tensor in Conformally Invariant Theories for General Dimensions
• Cosmological perturbations and structure formation in nonlocal infrared modifications of general relativity
• Non-local gravity and dark energy
• Nonlocal action for long-distance modifications of gravity theory
• Renormalization Group and Decoupling in Curved Space
• Quantum power correction to the Newton law
• Non-local quantum effects in cosmology 1: Quantum memory, non-local FLRW equations and singularity avoidance
• On the non-local heat kernel expansion
• Running Coupling Constants, Newtonian Potential and non localities in the Effective Action
• Closed Form Effective Conformal Anomaly Actions in D$\ge$4
• Nonlocal Cosmology II --- Cosmic acceleration without fine tuning or dark energy
• Running of Newton's constant and non integer powers of the d'Alembertian
• Nonperturbative late time asymptotics for heat kernel in gravity theory
• The cosmological constant and the use of cutoffs
• Matter Quantum Corrections to the Graviton Self-Energy and the Newtonian Potential
• Fine Tuning May Not Be Enough

Cited by in corpus (2)

• Effective approach to the Antoniadis-Mottola model: quantum decoupling of the higher derivative terms
• Nonlocality of quantum matter corrections and cosmological constant running