Remarks on the Cohen-Kaplan-Nelson bound

Tom Banks, Patrick Draper

Research output: Contribution to journalArticlepeer-review


Cohen, Kaplan, and Nelson (CKN) conjectured that the UV and IR cutoffs of effective quantum field theories coupled to gravity are not independent, but are connected by the physics of black holes. We interpret the CKN bound as a scale-dependent depletion of the quantum field theory (QFT) density of states and discuss various aspects of the bound on small and large scales. For laboratory experiments, we argue that the bound provides small corrections to ordinary quantum field theory, which we estimate to be of order me/Mp for g-2 of the electron. On large scales, we suggest a modification of the CKN bound due to the presence of cosmological horizons and discuss the connection with entropy bounds.

Original languageEnglish (US)
Article number126010
JournalPhysical Review D
Issue number12
StatePublished - Jun 15 2020

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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