Approximate Killing symmetries in non-perturbative quantum gravity
| العنوان: | Approximate Killing symmetries in non-perturbative quantum gravity |
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| المؤلفون: | Joren Brunekreef, Marcus Reitz |
| المصدر: | Classical and Quantum Gravity, 38, 13, pp. 1-34 Classical and Quantum Gravity, 38, 1-34 |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | High Energy Physics - Theory, Physics, Physics and Astronomy (miscellaneous), FOS: Physical sciences, Observable, General Relativity and Quantum Cosmology (gr-qc), Expectation value, Space (mathematics), General Relativity and Quantum Cosmology, Killing vector field, Discrete exterior calculus, High Energy Physics - Theory (hep-th), Homogeneous space, Quantum gravity, High Energy Physics, Quantum, Mathematical physics |
| الوصف: | It is an open question whether fluctuations at the Planck scale in a non-perturbative theory of quantum gravity behave in such a way that the resulting semi-classical geometry can be modelled by a space that admits (approximate) Killing symmetries. We have investigated whether the notion of approximate Killing vector fields is suitable to address this question in lattice theories of quantum gravity, such as (Causal) Dynamical Triangulations. We show that it is possible to construct quantum observables related to approximate Killing vector fields using the framework of Discrete Exterior Calculus. We have evaluated the expectation value of one particular choice of observable on three toy models of two-dimensional quantum gravity. 39 pages, 15 figures |
| وصف الملف: | application/pdf |
| تدمد: | 0264-9381 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::884add13dff167738dc9d5722daa0ff8 https://hdl.handle.net/2066/233833 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....884add13dff167738dc9d5722daa0ff8 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 02649381 |
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