A renormalization group improved non-local gravitational effective Lagrangian

TL;DR

This paper employs renormalization group methods to derive an improved non-local gravitational effective action for asymptotically free GUTs and quantum R^2-gravity, exploring their implications for vacuum radiation flux.

Contribution

It introduces a novel approach to derive non-local gravitational actions using renormalization group techniques for specific quantum gravity models.

Findings

Derived non-local gravitational equations for asymptotically free GUTs and R^2-gravity.

Discussed implications for vacuum radiation flux at future null infinity.

Provided a framework for analyzing quantum gravity effects on cosmological scales.

Abstract

Renormalization group techniques are used in order to obtain the improved non-local gravitational effective action corresponding to any asymptotically free GUT, up to invariants which are quadratic on the curvature. The corresponding non-local gravitational equations are written down, both for the case of asymptotically free GUTs and also for quantum R$^2$-gravity. The implications of the results when obtaining the flux of vacuum radiation through the future null infinity are briefly discussed.