A Class of Renormalization Group Invariant Scalar Field Cosmologies

TL;DR

This paper introduces a class of scalar field cosmologies with evolving gravitational and cosmological constants, consistent with renormalization group scaling near a fixed point, and proposes a modified gravity action incorporating these effects.

Contribution

It develops a new class of cosmological solutions with running G and Lambda, and formulates a modified gravity action aligned with renormalization group principles.

Findings

Solutions consistent with RG scaling near fixed points

Modified gravity action including running G and Lambda

Enhanced understanding of variational principles with variable constants

Abstract

We present a class of scalar field cosmologies with a dynamically evolving Newton parameter $G$ and cosmological term $\Lambda$. In particular, we discuss a class of solutions which are consistent with a renormalization group scaling for $G$ and $\Lambda$ near a fixed point. Moreover, we propose a modified action for gravity which includes the effective running of $G$ and $\Lambda$ near the fixed point. A proper understanding of the associated variational problem is obtained upon considering the four-dimensional gradient of the Newton parameter.