Normalizing Fock space states in static spacetimes

Fuente: arXiv
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Autores principales: Huhtala, Jesse, Vilja, Iiro
Formato: Preprint
Publicado: 2025
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author Huhtala, Jesse
Vilja, Iiro
author_facet Huhtala, Jesse
Vilja, Iiro
contents In quantum field theory, sharp momentum states have to be normalized to be in Fock space. We investigate different normalization schemes, both box normalization and wave packets. These methods are equivalent in flat spacetimes, but turn out to produce different results in curved spacetimes, specifically in those that break translation invariance. This means that scattering processes have to be defined in relation to the normalization scheme used, rather than being independent of it as is the case in flat spacetime. We provide an illustrative example of this phenomenon.
format Preprint
id arxiv_https___arxiv_org_abs_2502_08325
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Normalizing Fock space states in static spacetimes
Huhtala, Jesse
Vilja, Iiro
General Relativity and Quantum Cosmology
High Energy Physics - Theory
In quantum field theory, sharp momentum states have to be normalized to be in Fock space. We investigate different normalization schemes, both box normalization and wave packets. These methods are equivalent in flat spacetimes, but turn out to produce different results in curved spacetimes, specifically in those that break translation invariance. This means that scattering processes have to be defined in relation to the normalization scheme used, rather than being independent of it as is the case in flat spacetime. We provide an illustrative example of this phenomenon.
title Normalizing Fock space states in static spacetimes
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2502.08325