Schrödinger evolution of a scalar field in Riemannian and pseudoRiemannian expanding metrics
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Accesso online: | |
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| _version_ | 1866916374332309504 |
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| author | Haba, Z. |
| author_facet | Haba, Z. |
| contents | 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 pseudoRiemannian 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 described by diffusive paths. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_07677 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Schrödinger evolution of a scalar field in Riemannian and pseudoRiemannian expanding metrics Haba, Z. General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics 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 pseudoRiemannian 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 described by diffusive paths. |
| title | Schrödinger evolution of a scalar field in Riemannian and pseudoRiemannian expanding metrics |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2312.07677 |