Generating Einstein gravity, cosmological constant and Higgs mass from restricted Weyl invariance
- Bishop's Univ., Sherbrooke, QC (Canada)
- California Inst. of Technology (CalTech), Pasadena, CA (United States)
It has previously 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. Furthermore, the model 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.
- Research Organization:
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP); National Science and Engineering Research Council of Canada (NSERC)
- Grant/Contract Number:
- SC0011632
- OSTI ID:
- 1596465
- Journal Information:
- Modern Physics Letters A, Vol. 30, Issue 30; ISSN 0217-7323
- Publisher:
- World Scientific PublishingCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Palatini formulation of pure gravity yields Einstein gravity with no massless scalar
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journal | June 2019 |
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