Hopf link volume simplicity constraints in spin foam models
| العنوان: | Hopf link volume simplicity constraints in spin foam models |
|---|---|
| المؤلفون: | Mehdi Assanioussi, Benjamin Bahr |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Physics, Physics and Astronomy (miscellaneous), 010308 nuclear & particles physics, media_common.quotation_subject, Mathematical analysis, FOS: Physical sciences, Spin foam, General Relativity and Quantum Cosmology (gr-qc), 01 natural sciences, General Relativity and Quantum Cosmology, Hopf link, 0103 physical sciences, Metric (mathematics), Graph (abstract data type), Quantum gravity, Limit (mathematics), Simplicity, 010306 general physics, Bivector, media_common |
| الوصف: | In this article we consider specific bivector geometries which arise in the large-spin limit of the extension of the Engle-Pereira-Rovelli-Livine spin foam model for quantum gravity by Kaminski, Kisielowski and Lewandowski. We address the implementation of volume simplicity constraints, which are required to ensure that a $4d$ metric can be reconstructed from the bivector geometry. We find that the necessary conditions are closely related, but not quite equal to the Hopf link volume simplicity constraints introduced in earlier works. We estimate the number of independent geometricity conditions for arbitrary bivector geometries, and find that they always agree with the number of Hopf links on the graph minus one, suggesting that the geometricity conditions can generically be formulated by deformation of the Hopf link volume simplicity constraints. 14 pages, 10 figures |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::37c777522ca9e339273674afa1a83c3a http://arxiv.org/abs/2005.12004 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....37c777522ca9e339273674afa1a83c3a |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |