The physical nature of the cosmological constant and the decoherence scale in a renormalization-group approach

Abstract

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 [Formula: see text], where classicality is reached. In particular, we formally depict the presence of the scale at [Formula: see text] by adopting a renormalization group approach. As a result, an analogy arises between the expression for the observed cosmological constant [Formula: see text] generated by quantum fluctuations and the one expected by a renormalization group approach, provided that the renormalization scale [Formula: see text] is suitably chosen. In this framework, the decoherence scale [Formula: see text] is naturally identified with the value [Formula: see text] with [Formula: see text] 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 [Formula: see text] in our model.