Gravitational mechanisms to self-tune the cosmological constant: obstructions and ways forward

Niedermann, Florian and Padilla, Antonio (2017) Gravitational mechanisms to self-tune the cosmological constant: obstructions and ways forward. Physical Review Letters, 119 (25). 251306/1-251306/6. ISSN 1079-7114

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Abstract

Gravitational models of self-tuning are those in which vacuum energy has no observable effect on spacetime curvature, even though it is a priori unsuppressed below the cut-off. We complement Weinberg's no go theorem by studying field theoretic completions of self-adjustment allowing for broken translations as well as other generalisations, and identify new obstructions. Our analysis uses a very general Källén-Lehmann spectral representation of the exchange amplitude for conserved sources of energy-momentum and exploits unitarity and Lorentz invariance to show that a transition from self-tuning of long wavelength sources to near General Relativity on shorter scales is generically not possible. We search for novel ways around our obstructions and highlight two interesting possibilities. The first is an example of a unitary field configuration on anti-de Sitter space with the desired transition from self-tuning to GR. A second example is motivated by vacuumenergy sequestering.

Item Type: Article
Additional Information: © 2017 American Physical Society
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Physics and Astronomy
Identification Number: 10.1103/PhysRevLett.119.251306
Depositing User: Eprints, Support
Date Deposited: 13 Dec 2017 08:40
Last Modified: 19 Jan 2018 06:15
URI: http://eprints.nottingham.ac.uk/id/eprint/48712

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