Feb 20, 2015
Generating Einstein gravity, cosmological constant and Higgs mass from restricted Weyl invariance
Modern Physics Letters A
- ,
- Volume
- 30
- Number
- 30
- Language
- Publishing type
- Research paper (scientific journal)
- DOI
- 10.1142/S0217732315501527
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
{\it 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 $R \Phi^2$ 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.
dimensional curved spacetime possess a symmetry which goes beyond scale
invariance but is smaller than full Weyl invariance. This symmetry was dubbed
{\it 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 $R \Phi^2$ 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.
- Link information
-
- DOI
- https://doi.org/10.1142/S0217732315501527
- arXiv
- http://arxiv.org/abs/arXiv:1502.05932
- URL
- http://arxiv.org/abs/1502.05932v1
- URL
- http://arxiv.org/pdf/1502.05932v1 Open access
- Scopus
- https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84940062818&origin=inward
- Scopus Citedby
- https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84940062818&origin=inward
- ID information
-
- DOI : 10.1142/S0217732315501527
- ISSN : 0217-7323
- arXiv ID : arXiv:1502.05932
- SCOPUS ID : 84940062818