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Positivity of Curvature-Squared Corrections in Gravity

Cheung, Clifford and Remmen, Grant N. (2017) Positivity of Curvature-Squared Corrections in Gravity. Physical Review Letters, 118 (5). Art. No. 051601. ISSN 0031-9007. doi:10.1103/PhysRevLett.118.051601. https://resolver.caltech.edu/CaltechAUTHORS:20160816-124613907

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Abstract

We study the Gauss-Bonnet (GB) term as the leading higher-curvature correction to pure Einstein gravity. Assuming a tree-level ultraviolet completion free of ghosts or tachyons, we prove that the GB term has a nonnegative coefficient in dimensions greater than 4. Our result follows from unitarity of the spectral representation for a general ultraviolet completion of the GB term.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevLett.118.051601DOIArticle
http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.118.051601PublisherArticle
http://arxiv.org/abs/1608.02942arXivDiscussion Paper
ORCID:
AuthorORCID
Remmen, Grant N.0000-0001-6569-8866
Additional Information:© 2017 American Physical Society. Received 18 August 2016; published 1 February 2017. We thank Brando Bellazzini and Matt Reece for useful discussions and comments. C. C. is supported by a Sloan Research Fellowship and a DOE Early Career Award under Grant No. DE-SC0010255. G. N. R. is supported by a Hertz Graduate Fellowship and a NSF Graduate Research Fellowship under Grant No. DGE-1144469.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Alfred P. Sloan FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0010255
Fannie and John Hertz FoundationUNSPECIFIED
NSF Graduate Research FellowshipDGE-1144469
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2016-18
Issue or Number:5
DOI:10.1103/PhysRevLett.118.051601
Record Number:CaltechAUTHORS:20160816-124613907
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160816-124613907
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:69674
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:16 Aug 2016 20:39
Last Modified:11 Nov 2021 04:18

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