Issue |
EPL
Volume 147, Number 4, August 2024
|
|
---|---|---|
Article Number | 42001 | |
Number of page(s) | 7 | |
Section | Mathematical and interdisciplinary physics | |
DOI | https://doi.org/10.1209/0295-5075/ad64fe | |
Published online | 22 August 2024 |
Schrödinger evolution of a scalar field in Riemannian and pseudo-Riemannian expanding metrics
Institute of Theoretical Physics, University of Wroclaw - Plac Maxa Borna 9, 50-204 Wroclaw, Poland
Received: 22 February 2024
Accepted: 18 July 2024
We study the quantum field theory (QFT) of a scalar field in the Schrödinger picture in the functional formulation. We derive a formula for the evolution kernel in a flat expanding metric. We discuss a transition between Riemannian and pseudo-Riemannian metrics (signature inversion). We express the real time Schrödinger evolution by the Brownian motion. We discuss the Feynman integral for a scalar field in a radiation background. We show that the unitary Schrödinger evolution for positive time can go over for negative time into a dissipative evolution as a consequence of the imaginary value of . The time evolution remains unitary if in the Hamiltonian is replaced by .
© 2024 The author(s)
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