Linear Response and the Validity of the Semi-Classical Approximation in Gravity
| dc.creator | Anderson, Paul R. | |
| dc.creator | Molina-Paris, Carmen | |
| dc.creator | Mottola, Emil | |
| dc.date | 2002-04-27 | |
| dc.date.accessioned | 2026-07-07T03:26:49Z | |
| dc.date.available | 2026-07-07T03:26:49Z | |
| dc.description | We propose a quantitative test for the validity of the semi-classical approximation in gravity, namely that the solutions to the semi-classical equations should be stable to linearized perturbations, in the sense that no gauge invariant perturbation should become unbounded in time. We show that a self-consistent linear response analysis of these perturbations based upon an invariant effective action principle involves metric fluctuations about the mean semi-classical geometry and brings in the two-point correlation function of the quantum energy-momentum tensor in a natural way. The properties of this correlation function are discussed and it is shown on general grounds that it contains no state-dependent divergences and requires no new renormalization counterterms beyond those required in the leading order semi-classical approximation. | |
| dc.description | 8 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0204083 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0204083 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34195 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Linear Response and the Validity of the Semi-Classical Approximation in Gravity | |
| dc.type | text |