Calcinari, A. orcid.org/0000-0003-3028-0587 and Gielen, S. orcid.org/0000-0002-8653-5430 (2024) Generalized Gaussian states in group field theory and su(1,1) quantum cosmology. Physical Review D, 109 (6). 066022. ISSN 2470-0010
Abstract
We define generalized Gaussian states for quantum cosmological models based on the su(1,1) algebra, with particular emphasis on its realization in group field theory for a single field mode, and study their semiclassical properties. These states are generalizations of coherent, squeezed, and thermal states considered previously. As two possible characterizations of semiclassicality, we contrast the requirement of small relative fluctuations in volume and energy with the saturation of the Robertson-Schrödinger uncertainty principle. We find that for the most general class of states, the appearance of small relative fluctuations, which we take as the main criterion relevant for the emergence of cosmology, is mostly determined by the amount of displacement used to define the state. We also observe that defining such generalized Gaussian states is less straightforward in the algebraic approach to canonical quantization of group field theory, and discuss special cases.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2024 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license (https://creativecommons.org/licenses/by/4.0/). Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Funding Information: | Funder Grant number ROYAL SOCIETY URF\R\221005 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 03 Apr 2024 10:33 |
Last Modified: | 03 Apr 2024 10:33 |
Status: | Published |
Publisher: | American Physical Society (APS) |
Refereed: | Yes |
Identification Number: | 10.1103/physrevd.109.066022 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:210982 |