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Generating Einstein gravity, cosmological constant and Higgs mass from restricted Weyl invariance

Edery, Ariel and Nakayama, Yu (2015) Generating Einstein gravity, cosmological constant and Higgs mass from restricted Weyl invariance. Modern Physics Letters A, 30 (30). Art. No. 1550152. ISSN 0217-7323. doi:10.1142/S0217732315501527.

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Recently, it has been pointed out that dimensionless actions in four-dimensional curved spacetime possess a symmetry which goes beyond scale invariance but is smaller than full Weyl invariance. This symmetry was dubbed restricted Weyl invariance. We show that starting with a restricted Weyl invariant action that includes a Higgs sector with no explicit mass, one can generate the Einstein–Hilbert action with cosmological constant and a Higgs mass. The model also contains an extra massless scalar field which couples to the Higgs field (and gravity). If the coupling of this extra scalar field to the Higgs field is negligibly small, this fixes the coefficient of the nonminimal coupling RΦ2 between the Higgs field and gravity. Besides the Higgs sector, all the other fields of the Standard Model can be incorporated into the original restricted Weyl invariant action.

Item Type:Article
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URLURL TypeDescription Paper
Nakayama, Yu0000-0002-1747-5147
Additional Information:© 2015 World Scientific Publishing Company. Received 4 May 2015; Accepted 15 June 2015; Published 24 August 2015. A.E. acknowledges support from a discovery Grant of the National Science and Engineering Research Council of Canada (NSERC). Y.N. is supported by Sherman Fairchild Senior Research Fellowship at California Institute of Technology and DOE Grant No. DE-SC0011632. Y.N. thanks Valerio Faraoni for discussion.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Subject Keywords:Restricted Weyl invariance; R2 gravity; Higgs field
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Other Numbering System NameOther Numbering System ID
Issue or Number:30
Classification Code:PACS: 03.50.-z, 04.90.+e
Record Number:CaltechAUTHORS:20150316-144219150
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:55813
Deposited By: Joy Painter
Deposited On:16 Mar 2015 21:50
Last Modified:10 Nov 2021 20:50

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