Gravitational mechanisms to self-tune the cosmological constant: obstructions and ways forward
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...
| Main Authors: | , |
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| Format: | Article |
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American Physical Society
2017
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| Online Access: | https://eprints.nottingham.ac.uk/48712/ |
| _version_ | 1848797830314983424 |
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| author | Niedermann, Florian Padilla, Antonio |
| author_facet | Niedermann, Florian Padilla, Antonio |
| author_sort | Niedermann, Florian |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:10:06Z |
| format | Article |
| id | nottingham-48712 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:10:06Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-487122020-05-04T19:23:41Z https://eprints.nottingham.ac.uk/48712/ Gravitational mechanisms to self-tune the cosmological constant: obstructions and ways forward Niedermann, Florian Padilla, Antonio 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. American Physical Society 2017-12-22 Article PeerReviewed 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 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.119.251306 doi:10.1103/PhysRevLett.119.251306 doi:10.1103/PhysRevLett.119.251306 |
| spellingShingle | Niedermann, Florian Padilla, Antonio Gravitational mechanisms to self-tune the cosmological constant: obstructions and ways forward |
| title | Gravitational mechanisms to self-tune the cosmological constant: obstructions and ways forward |
| title_full | Gravitational mechanisms to self-tune the cosmological constant: obstructions and ways forward |
| title_fullStr | Gravitational mechanisms to self-tune the cosmological constant: obstructions and ways forward |
| title_full_unstemmed | Gravitational mechanisms to self-tune the cosmological constant: obstructions and ways forward |
| title_short | Gravitational mechanisms to self-tune the cosmological constant: obstructions and ways forward |
| title_sort | gravitational mechanisms to self-tune the cosmological constant: obstructions and ways forward |
| url | https://eprints.nottingham.ac.uk/48712/ https://eprints.nottingham.ac.uk/48712/ https://eprints.nottingham.ac.uk/48712/ |