Influence functional in two dimensional dilaton gravity

Details Influence functional in two dimensional dilaton gravity Influence functional in two dimensional dilaton gravity

1997-12-23

arxiv.org/abs/gr-qc/9712091v2

Phys.Rev. D58 (1998) 024009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, RevTex, no figures. Minor changes has been added. To appear in Physical Review D

Scientific paper

10.1103/PhysRevD.58.024009

We evaluate the influence functional for two dimensional models of dilaton gravity. This functional is exactly computed when the conformal invariance is preserved, and it can be written as the difference between the Liouville actions on each closed-time-path branch plus a boundary term. From the influence action we derive the covariant form of the semiclassical field equations. We also study the quantum to classical transition in cosmological backgrounds. In the conformal case we show that the semiclassical approximation is not valid because there is no imaginary part in the influence action. Finally we show that the inclusion of the dilaton loop in the influence functional breaks conformal invariance and ensures the validity of the semiclassical approximation.

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