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

摘要: 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 was dubbed {\it restricted invariance}. We show starting with invariant action includes Higgs sector no explicit mass, one can generate the Einstein-Hilbert cosmological constant and mass. The model also contains an extra massless scalar field couples to (and gravity). If coupling of this negligibly small, fixes coefficient nonminimal $R \Phi^2$ between gravity. Besides sector, all other fields standard be incorporated into original action.