Unitarity in the Schroedinger Formalism of QFT in Curved Space-Time

We review the general quantization of scalar fields in curved space-times in the Schroedinger formalism and discuss the determination of the ground-state. By explicitly computing the norm of the ground-state wave functional, we give an argument for the instability of the ground-state of a QFT in a s...

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Bibliographic Details
Published in:arXiv.org 2019-10
Main Authors: Hager, Patrick, Urban, Maximilian
Format: Article
Language:English
Subjects:
Computing time
Quantum theory
Relativity
Spacetime
Stability
Time dependence
Online Access:Get full text
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Summary:We review the general quantization of scalar fields in curved space-times in the Schroedinger formalism and discuss the determination of the ground-state. By explicitly computing the norm of the ground-state wave functional, we give an argument for the instability of the ground-state of a QFT in a semi-classical space-time of Bianchi-type I. We find that this norm is, in general, time-dependent, and conclude that the ground-state evolution is not unitary.
ISSN:2331-8422