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.
Quantum mechanical breaking of local GL(4) invariance / Floreanini, R; Percacci, Roberto. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 379:1-4(1996), pp. 87-92. [10.1016/0370-2693(96)00424-8]
Quantum mechanical breaking of local GL(4) invariance
Percacci, Roberto
1996-01-01
Abstract
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.File in questo prodotto:
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