dc.contributor.author | Liu, C | |
dc.contributor.author | Majid, S | |
dc.date.accessioned | 2023-10-06T13:33:07Z | |
dc.date.available | 2023-10-06T13:33:07Z | |
dc.date.issued | 2023-09-01 | |
dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/91219 | |
dc.description.abstract | Following steps analogous to classical Kaluza-Klein theory, we solve for the quantum Riemannian geometry on C∞(M) ⊗ M 2(ℂ) in terms of classical Riemannian geometry on a smooth manifold M , a finite quantum geometry on the algebra M 2(ℂ) of 2 × 2 matrices, and a quantum metric cross term. Fixing a standard form of quantum metric on M 2(ℂ), we show that this cross term data amounts in the simplest case to a 1-form Aμ on M, which we regard as like a gauge-fixed background field. We show in this case that a real scalar field on the product algebra with its noncommutative Laplacian decomposes on M into two real neutral fields and one complex charged field minimally coupled to Aμ. We show further that the quantum Ricci scalar on the product decomposes into a classical Ricci scalar on M, the Ricci scalar on M 2(ℂ), the Maxwell action ||F||2 of A and a higher order ||A.F||2 term. Another solution of the QRG on the product has A = 0 and a dynamical real scalar field ϕ on M which imparts mass-splitting to some of the components of a scalar field on the product as in previous work. | en_US |
dc.publisher | Springer Nature | en_US |
dc.relation.ispartof | Journal of High Energy Physics | |
dc.rights | This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. | |
dc.rights | Attribution 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/us/ | * |
dc.title | Quantum Kaluza-Klein theory with M <inf>2</inf>(ℂ) | en_US |
dc.type | Article | en_US |
dc.rights.holder | © 2023 The Author(s). Published by Springer Nature | |
dc.identifier.doi | 10.1007/JHEP09(2023)102 | |
pubs.issue | 9 | en_US |
pubs.notes | Not known | en_US |
pubs.publication-status | Published | en_US |
pubs.volume | 2023 | en_US |
rioxxterms.funder | Default funder | en_US |
rioxxterms.identifier.project | Default project | en_US |