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Quantum Mechanical Breaking of Local GL(4) Invariance

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arxiv hep-th/9508157 v1 pith:LBBBOJMP submitted 1995-08-29 hep-th

R. Floreanini , R. Percacci This is my paper · ORCID
classification hep-th
keywords invarianceeffectivelocalpotentialquantumscalarvierbeinbreaking
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We consider the gravitational coupling of a scalar field, in a reformulation of General Relativity exhibiting local GL(4) invariance at the classical level. We compute the one-loop contribution of the scalar to the quantum effective potential of the vierbein and find that it does not have GL(4) invariance. The minima of the effective potential occur for a vierbein which is proportional to the unit matrix.

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  1. Spacetime and Planck mass generation from scale-invariant degenerate gravity

    hep-th 2024-11 reject novelty 5.0 of 10

    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.

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