Non-Trivial Ultraviolet Fixed Point in Quantum Gravity

TL;DR

This paper demonstrates the existence of a non-trivial ultraviolet fixed point in quantum gravity across dimensions 2 to 4, supporting the idea that quantum gravity could be asymptotically safe and renormalizable.

Contribution

It provides a non-perturbative calculation of the ultraviolet fixed point in quantum gravity using the exact renormalization group equation across multiple dimensions.

Findings

Ultraviolet non-Gaussian fixed point persists in 4D.

Supports asymptotic safety of quantum gravity.

Fixed point exists in dimensions between 2 and 4.

Abstract

The non-trivial ultraviolet fixed point in quantum gravity is calculated by means of the exact renormalization group equation in d-dimensions $(2\simeq d\leq4)$. It is shown that the ultraviolet non-Gaussian fixed point which is expected from the perturbatively $\epsilon$-expanded calculations in $2+\epsilon$ gravity theory remains in d=4. Hence it is possible that quantum gravity is an asymptotically safe theory and renormalizable in 2<d.