Unitarity of quantum-gravitational corrections to primordial fluctuations in the Born-Oppenheimer approach

التفاصيل البيبلوغرافية
العنوان: Unitarity of quantum-gravitational corrections to primordial fluctuations in the Born-Oppenheimer approach
المؤلفون: Chataignier, Leonardo, Kraemer, Manuel
المصدر: Phys. Rev. D 103, 066005 (2021)
سنة النشر: 2020
المجموعة: Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
مصطلحات موضوعية: General Relativity and Quantum Cosmology, Astrophysics - Cosmology and Nongalactic Astrophysics, High Energy Physics - Theory
الوصف: We revisit the calculation of quantum-gravitational corrections to the power spectra of scalar and tensor perturbations in the Born-Oppenheimer approach to quantum gravity. We focus on the issue of the definition of the inner product of the theory and the unitarity of the corrections to the dynamics of the cosmological perturbations. We argue that the correction terms are unitary, provided the inner product is defined in a suitable way, which can be related to a notion of gauge-fixing the time variable and the use of conditional probabilities in quantum cosmology. We compare the corrections obtained within this framework to earlier results in the literature and we conclude with some remarks on the physical interpretation of the correction terms.
Comment: 23 pages, clarifications and references added, published in Physical Review D
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevD.103.066005
URL الوصول: http://arxiv.org/abs/2011.06426
رقم الأكسشن: edsarx.2011.06426
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevD.103.066005