Higgs mechanism and the inverse Einstein–Infeld–Hoffman problem

Abstract

The Guralnik–Hagen model for a self-coupled spin −1/2 field is minimally coupled to a gauge gravitational field. The corresponding free gravitational Lagrangian is not explicitly introduced. It is shown that, using spontaneous breakdown of Lorentz invariance and the generalized Gordon decomposition, the Higgs mechanism generates a gravitational Lagrangian which leads to the usual linearized Einstein gravitational field equations.