dc.contributor.author | Lukierski, Jerzy | |
dc.contributor.author | Pachol, Anna | |
dc.date.accessioned | 2024-02-05T12:40:43Z | |
dc.date.available | 2024-02-05T12:40:43Z | |
dc.date.created | 2023-11-13T12:17:36Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Lukierski, J. & Pachol, A. (2022). ℏ -perturbative solutions of quantum Snyder and Yang models with parameters describing spontaneous symmetry breaking [Conference presentation]. Corfu Summer Institute 2022 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2022) (Vol. 436), Greece. | en_US |
dc.identifier.issn | 1824-8039 | |
dc.identifier.uri | https://hdl.handle.net/11250/3115625 | |
dc.description.abstract | We introduce the perturbative ℏ-power series (ℏ - Planck constant) providing the algebraic solutions of D=4 quantum Snyder and Yang models which describe relativistic quantum space-times and Lorentz-covariant quantum phase spaces. We argue that if in these series the zero order (ℏ-independent) terms are non-vanishing they describe the spontaneous symmetry breaking (SSB) parameters of Lie-algebraic symmetries which characterize the considered models (D=4 dS symmetry in Snyder and D=5 dS symmetry in Yang cases). The consecutive terms in ℏ-power series can be calculated explicitly if we supplement the SSB order parameters (Nambu-Goldstone or NG modes) by dual set of commutative momenta, which together define the canonical tensorial Heisenberg algebra. | en_US |
dc.language.iso | eng | en_US |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.no | * |
dc.title | ℏ -perturbative solutions of quantum Snyder and Yang models with parameters describing spontaneous symmetry breaking | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0). | en_US |
dc.source.volume | 436 | en_US |
dc.source.journal | Proceedings of Science (PoS) | en_US |
dc.identifier.doi | https://doi.org/10.22323/1.436.0327 | |
dc.identifier.cristin | 2195714 | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |