تقرير
Beyond semiclassical time: dynamics in quantum cosmology
| العنوان: | Beyond semiclassical time: dynamics in quantum cosmology |
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| المؤلفون: | Chataignier, Leonardo |
| المصدر: | J. Phys.: Conf. Ser. 2533, 012029 (2023) |
| سنة النشر: | 2023 |
| المجموعة: | General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology, High Energy Physics - Theory, Quantum Physics |
| الوصف: | We review two approaches to the definition of the Hilbert space and evolution in mechanical theories with local time-reparametrization invariance, which are often used as toy models of quantum gravity. The first approach is based on the definition of invariant relational observables, whereas the second formalism consists of a perturbative construction of the Hilbert space and a weak-coupling expansion of the Hamiltonian constraint, which is frequently performed as part of the Born-Oppenheimer treatment in quantum cosmology. We discuss in which sense both approaches exhibit an inner product that is gauge-fixed via an operator version of the usual Faddeev-Popov procedure, and, in the second approach, how the unitarity of the effective Schr\"{o}dinger evolution is established perturbatively. We note that a conditional probability interpretation of the physical states is possible, so that both formalisms are examples of quantum mechanics with a relational dynamics. Comment: Contribution to appear in the proceedings of the conference DICE2022, September 19-23, 2022 (Castiglioncello, Tuscany), Journ. Phys.: Conf. Series |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1742-6596/2533/1/012029 |
| URL الوصول: | http://arxiv.org/abs/2302.07903 |
| رقم الأكسشن: | edsarx.2302.07903 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1742-6596/2533/1/012029 |
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