In this paper, we consider the nature of the cosmological constant as due by quantum fluctuations. Quantum fluctuations are generated at Planckian scales by noncommutative effects and watered down at larger scales up to a decoherence scale LD, where classicality is reached. In particular, we formally depict the presence of the scale at LD by adopting a renormalization group approach. As a result, an analogy arises between the expression for the observed cosmological constant Λ¯ generated by quantum fluctuations and the one expected by a renormalization group approach, provided that the renormalization scale μ is suitably chosen. In this framework, the decoherence scale LD is naturally identified with the value μD with ℏμD representing the minimum allowed particle-momentum for our visible universe. Finally, by mimicking renormalization group approach, we present a technique to formally obtain a nontrivial infrared (IR) fixed point at μ = μD in our model.

中文翻译：

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重整化群方法中宇宙学常数和退相干尺度的物理性质

在本文中，我们认为宇宙学常数的性质是由量子涨落引起的。量子涨落在普朗克尺度上由非交换效应产生，并在更大的尺度上被淡化到退相干尺度大号D，达到经典性。特别是，我们正式描述了规模的存在大号D通过采用重整化组方法。结果，观察到的宇宙常数的表达式之间出现了类比Λ¯由量子涨落产生的和由重整化群方法所期望的，前提是重整化尺度μis suitably chosen. 在这个框架中，退相干量表大号D自然地与价值认同μD和ℏμD代表我们可见宇宙的最小允许粒子动量。最后，通过模仿重整化组方法，我们提出了一种技术来正式获得非平凡红外（IR）不动点μ = μD在我们的模型中。