An Estimate of Lambda in Resummed Quantum Gravity in the Context of Asymptotic Safety and Planck Scale Cosmology: Constraints on SUSY GUTS

TL;DR

This paper develops a UV finite quantum gravity approach using amplitude resummation, recovers the UV fixed point, and estimates the cosmological constant, providing constraints on SUSY GUT models.

Contribution

It introduces a resummation-based quantum gravity method that aligns with the asymptotic safety scenario and applies it to cosmology to estimate the cosmological constant.

Findings

Recovered the UV fixed point consistent with renormalization group results.

Estimated the cosmological constant as (0.0024 eV)^4.

Constrained SUSY GUT models based on the estimate.

Abstract

We use the amplitude-based resummation of Feynman`s formulation of Einstein`s theory to arrive at a UV finite approach to quantum gravity. We show that we recover the UV fixed point recently claimed by the exact field-space renormalization group approach. We use our approach in the context of the attendant Planck scale cosmology formulation of Bonanno and Reuter to estimate the value of the cosmological constant as \rho_\Lambda=(0.0024 eV)^4. We show that the closeness of this estimate to experiment constrains susy GUT models.