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How Low Can Vacuum Energy Go When Your Fields Are Finite-Dimensional?

Cao, ChunJun and Chatwin-Davies, Aidan and Singh, Ashmeet (2019) How Low Can Vacuum Energy Go When Your Fields Are Finite-Dimensional? .

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According to the holographic bound, there is only a finite density of degrees of freedom in space when gravity is taken into account. Conventional quantum field theory does not conform to this bound, since in this framework, infinitely many degrees of freedom may be localized to any given region of space. In this essay, we explore the viewpoint that quantum field theory may emerge from an underlying theory that is locally finite-dimensional, and we construct a locally finite-dimensional version of a Klein-Gordon scalar field using generalized Clifford algebras. Demanding that the finite-dimensional field operators obey a suitable version of the canonical commutation relations makes this construction essentially unique. We then find that enforcing local finite dimensionality in a holographically consistent way leads to a huge suppression of the quantum contribution to vacuum energy, to the point that the theoretical prediction becomes plausibly consistent with observations.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Chatwin-Davies, Aidan0000-0003-1406-9271
Singh, Ashmeet0000-0002-4404-1416
Additional Information:We would like to thank Sean Carroll and Grant Remmen for helpful discussions. C.C. acknowledges the support by the U.S. Department of Defense and NIST through the Hartree Postdoctoral Fellowship at QuICS. A.C.-D. is currently supported in part by the KU Leuven C1 grant ZKD1118 C16/16/005, the National Science Foundation of Belgium (FWO) grant G.001.12 Odysseus, and by the European Research Council grant no. ERC-2013-CoG 616732 HoloQosmos. A.S. is funded in part by the Walter Burke Institute for Theoretical Physics at Caltech, by DOE grant DE-SC0011632, and by the Foundational Questions Institute.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Hartree Postdoctoral FellowshipUNSPECIFIED
Katholieke Universiteit LeuvenZKD1118 C16/16/005
Fonds Wetenschappelijk Onderzoek (FWO)G.001.12 Odysseus
European Research Council (ERC)616732 HoloQosmos
Department of Energy (DOE)DE-SC0011632
Foundational Questions Institute (FQXI)UNSPECIFIED
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Record Number:CaltechAUTHORS:20190709-152651012
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97013
Deposited By: Joy Painter
Deposited On:09 Jul 2019 22:38
Last Modified:03 Oct 2019 21:27

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