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Algorithmic approach to cosmological coherent state expectation values in loop quantum gravity
Classical and Quantum Gravity ( IF 3.5 ) Pub Date : 2021-09-29 , DOI: 10.1088/1361-6382/ac226f
Klaus Liegener 1, 2 , Łukasz Rudnicki 3, 4
Affiliation  

Within the lattice approach to loop quantum gravity on a fixed graph, explicit calculations tend to be involved and are rarely analytically manageable. However, being focused on a particularly interesting setting, concerned with expectation values with respect to coherent states on the lattice (sharply peaked on isotropic and flat cosmology), we are able to provide several simplifications which can facilitate approaching beyond-state-of-the-art problems. We present a step-by-step algorithm resulting in an analytical expression including up-to-first-order corrections in the spread of the coherent state. The algorithm is developed in such a way that it makes the computation straightforward and easily implementable.



中文翻译:

循环量子引力中宇宙相干态期望值的算法方法

在固定图上循环量子引力的晶格方法中,往往涉及显式计算,并且很少在分析上可管理。然而,专注于一个特别有趣的设置,关注关于晶格上相干状态的期望值(在各向同性和平坦宇宙学上急剧上升),我们能够提供一些简化,这可以促进接近超越状态-艺术问题。我们提出了一个分步算法,产生了一个解析表达式,包括相干状态扩展中的一阶校正。该算法的开发方式使计算变得简单且易于实现。

更新日期:2021-09-29
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