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2019

Comments on the CKN Bound

Banks, Tom, Draper, Patrick

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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 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 $m_e/M_p$ 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.

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C. V. Johnson, “Specific Heats and Schottky Peaks for Black Holes in Extended Thermodynamics,” arXiv:1905.00539 [hep-th]
Original
1905
Earlier work this paper cites.
J. Dinsmore, P. Draper, D. Kastor, Y. Qiu, and J. Traschen, “Schottky Anomaly of deSitter Black Holes,” arXiv:1907.00248 [hep-th]
Original
1907
Earlier work this paper cites.
C. V. Johnson, “de Sitter Black Holes, Schottky Peaks, and Continuous Heat Engines,” arXiv:1907.05883 [hep-th]
Original
1907
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J. Bramante and E. Gould, “Material matter effects in gravitational UV/IR mixing,” arXiv:1910.07905 [hep-th]
Original
1910
Earlier work this paper cites.
T. Banks, “On the Limits of Effective Quantum Field Theory: Eternal Inflation, Landscapes, and Other Mythical Beasts,” arXiv:1910.12817 [hep-th]
Original
1910
Earlier work this paper cites.

Similar

J. Bramante and E. Gould, “Anomalous anomalies from virtual black holes,” arXiv:1911.04456 [hep-ph]
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1911
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N. Seiberg, “Anomalous Dimensions and Mass Renormalization in String Theory,” Phys. Lett
1987
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V. S. Kaplunovsky, “One Loop Threshold Effects in String Unification,” Nucl. Phys
1992
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A. G. Cohen, D. B. Kaplan, and A. E. Nelson, “Effective field theory, black holes, and the cosmological constant,” Phys. Rev. Lett
1999
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R. Bousso, “The Holographic principle for general backgrounds,” Class. Quant. Grav
2000
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T. Banks and W. Fischler, “Why The Cosmological Constant is a Boundary Condition,” arXiv:1811.00130 [hep-th]

Then

S. D. Thomas, “Holography stabilizes the vacuum energy,” Phys. Rev. Lett
2002
Later among the works it cites.
T. Banks, B. Fiol, and A. Morisse, “Towards a quantum theory of de Sitter space,” JHEP
2006
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R. Pius, A. Rudra, and A. Sen, “Mass Renormalization in String Theory: Special States,” JHEP
Original
2014
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R. Pius, A. Rudra, and A. Sen, “Mass Renormalization in String Theory: General States,” JHEP
Original
2014
Later among the works it cites.

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A. S. Kronfeld, “Uses of effective field theory in lattice QCD: Chapter 39 in At the Frontiers of Particle Physics, Handbook of QCD,” arXiv:hep-lat/0205021 [hep-lat]

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