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

2019/01/21 by Patrick Hager, Hager, Patrick, Maximilian Urban +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.1901.07035

7 Pages, No figures

arxiv created 2019/10/30 · arxiv updated 2019/10/31

Abstract

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.

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