Revisiting semiclassical effective dynamics for quantum cosmology

Fuente: arXiv
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Auteurs principaux: Kowalczyk, Maciej, Pawłowski, Tomasz
Format: Preprint
Publié: 2024
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author Kowalczyk, Maciej
Pawłowski, Tomasz
author_facet Kowalczyk, Maciej
Pawłowski, Tomasz
contents We revise the technique of semiclassical effective dynamics, in particular reexamining the evaluation of Poisson structure of the so-called central moments capturing quantum corrections, providing a systematic, pedagogical, and efficient algorithm for evaluation of said structure. The resulting closed formulae for Poisson brackets involve less summatios than recent results in the literature, thus being more optimal for applications. Found formulae are then applied to a general class of isotropic cosmological models with locally observable configuration variables for the admitted matter fields. In particular, this allowed to formulate a consistent and nontrivial limit or fiducial cell (infrared regulator) removal for models describing spatially noncompact spacetimes.
format Preprint
id arxiv_https___arxiv_org_abs_2412_05110
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Revisiting semiclassical effective dynamics for quantum cosmology
Kowalczyk, Maciej
Pawłowski, Tomasz
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We revise the technique of semiclassical effective dynamics, in particular reexamining the evaluation of Poisson structure of the so-called central moments capturing quantum corrections, providing a systematic, pedagogical, and efficient algorithm for evaluation of said structure. The resulting closed formulae for Poisson brackets involve less summatios than recent results in the literature, thus being more optimal for applications. Found formulae are then applied to a general class of isotropic cosmological models with locally observable configuration variables for the admitted matter fields. In particular, this allowed to formulate a consistent and nontrivial limit or fiducial cell (infrared regulator) removal for models describing spatially noncompact spacetimes.
title Revisiting semiclassical effective dynamics for quantum cosmology
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2412.05110