The paper computes a one-loop effective potential that can produce a Planck mass from a scalar vacuum, but the curvature that seeds it is assumed by hand and the vierbein scale factor runs away.
The Higgs Phenomenon in Quantum Gravity
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abstract
The Higgs phenomenon occurs in theories of gravity in which the connection is an independent dynamical variable. The role of order parameters is played by the soldering form and a fiber metric. The breaking of the original gauge symmetry is linked to the appearance of geometrical structures on spacetime. These facts suggest certain modifications and generalizations of the theory. We propose a Higgs-like model which provides a dynamical explanation for the nondegeneracy of the metric and a framework for the unification of gravity with the other interactions.
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Spacetime and Planck mass generation from scale-invariant degenerate gravity
The paper computes a one-loop effective potential that can produce a Planck mass from a scalar vacuum, but the curvature that seeds it is assumed by hand and the vierbein scale factor runs away.