Renormalization-scale independence of the physical cosmological constant

TL;DR

This paper demonstrates that the physical cosmological constant remains independent of the renormalization scale when the metric is treated as a classical background, challenging previous claims of its scale dependence.

Contribution

It provides a theoretical proof that the cosmological constant does not run with the renormalization scale under classical metric assumptions.

Findings

The cosmological constant is scale-invariant in this framework.

Contradicts previous literature claiming scale dependence.

Supports the stability of the cosmological constant in classical gravity.

Abstract

Treating the metric as a classical background field, we show that the cosmological constant does not run with the renormalization scale -- contrary to some claims in the literature.