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

Journal Article · Mon Aug 24 00:00:00 EDT 2015 · Modern Physics Letters A

DOI:https://doi.org/10.1142/S0217732315501527· OSTI ID:1596465

Edery, Adriel ^[1]; Nakayama, Yu ^[2]

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1. Bishop's Univ., Sherbrooke, QC (Canada); Caltech
2. 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 Inst. of Technology (CalTech), Pasadena, CA (United States)
• Sponsoring Organization: National Science and Engineering Research Council of Canada (NSERC); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
• Grant/Contract Number: SC0011632
• OSTI ID: 1596465
• Journal Information: Modern Physics Letters A, Journal Name: Modern Physics Letters A Journal Issue: 30 Vol. 30; ISSN 0217-7323
• Publisher: World Scientific Publishing
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Higgs field
R2 gravity
Restricted Weyl invariance