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.

10 pages, 1 figure, comments and relevant references have been added

References in corpus (7)

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• Non-local quantum effects in cosmology 1: Quantum memory, non-local FLRW equations and singularity avoidance
• On the non-local heat kernel expansion
• Nonlocal Cosmology II --- Cosmic acceleration without fine tuning or dark energy
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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