QUANTUM-MECHANICAL BREAKING OF LOCAL GL(4) INVARIANCE

Citation
R. Floreanini et R. Percacci, QUANTUM-MECHANICAL BREAKING OF LOCAL GL(4) INVARIANCE, Physics letters. Section B, 379(1-4), 1996, pp. 87-92
Citations number
16
Categorie Soggetti
Physics
Journal title
ISSN journal
03702693
Volume
379
Issue
1-4
Year of publication
1996
Pages
87 - 92
Database
ISI
SICI code
0370-2693(1996)379:1-4<87:QBOLGI>2.0.ZU;2-E
Abstract
We consider the gravitational coupling of a scalar field, in a reformu lation 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 occu r for a vierbein which is proportional to the unit matrix.