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Non-local partner to the cosmological constant

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arxiv 2201.12217 v2 pith:B52J2UOI submitted 2022-01-28 hep-th gr-qchep-ph

classification hep-thgr-qchep-ph
keywords constantcosmologicalfrac1muchnon-localparticleaboveaction
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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 $m^4 (\frac1{\Box}R)_x "<x|\log (\Box +m^2 )|y >" (\frac1{\Box}R)_y$, and I discuss the meaning of $ "<x|\log (\Box +m^2) |y >" $ and other aspects of its interpretation.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Do $\Lambda_{CC}$ and $G$ run?

    hep-th 2024-12 conditional novelty 2.0 of 10

    The paper concludes that the cosmological constant and Newton's constant are not running parameters in physical reactions, and that apparent scale dependence in cutoff or dimensional-regularization schemes is not physical.

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