从有效自旋泡沫看洛伦兹量子宇宙学

IF 2.5 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Universe Pub Date : 2024-07-13 DOI:10.3390/universe10070296
Bianca Dittrich, José Padua-Argüelles
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引用次数: 0

摘要

有效自旋泡沫是目前计算效率最高的自旋泡沫模型,因此非常适合应用于量子宇宙学等领域。在这里,我们首次对洛伦兹量子德西特宇宙的有限时间演化步骤进行了有效自旋泡沫计算。我们将考虑计算无边界波函数的设置和描述两个有限尺度因子之间过渡的设置。自旋泡沫的一个关键特性是它们实现了区域的离散谱。因此,我们研究了离散谱引起的效应。为了进行这些计算,我们必须找到一种技术来处理高度振荡和缓慢收敛甚至发散的和。在这里,我们说明高阶香克斯变换非常有效,是评估洛伦兹(引力)路径积分和自旋泡沫和的一个很有前途的工具。
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Lorentzian Quantum Cosmology from Effective Spin Foams
Effective spin foams provide the most computationally efficient spin foam models yet and are therefore ideally suited for applications, e.g., to quantum cosmology. Here, we provide the first effective spin foam computations of a finite time evolution step in a Lorentzian quantum de Sitter universe. We will consider a setup that computes the no-boundary wave function and a setup describing the transition between two finite scale factors. A key property of spin foams is that they implement discrete spectra for the areas. We therefore study the effects that are induced by the discrete spectra. To perform these computations, we had to identify a technique to deal with highly oscillating and slowly converging or even diverging sums. Here, we illustrate that high-order Shanks transformation works very well and is a promising tool for the evaluation of Lorentzian (gravitational) path integrals and spin foam sums.
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来源期刊
Universe
Universe Physics and Astronomy-General Physics and Astronomy
CiteScore
4.30
自引率
17.20%
发文量
562
审稿时长
24.38 days
期刊介绍: Universe (ISSN 2218-1997) is an international peer-reviewed open access journal focused on fundamental principles in physics. It publishes reviews, research papers, communications, conference reports and short notes. Our aim is to encourage scientists to publish their research results in as much detail as possible. There is no restriction on the length of the papers.
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