Towards a Non-Perturbative Renormalization of Euclidean Quantum Gravity
Z. Burda, J.-P. Kownacki, A. Krzywicki
TL;DR
This paper introduces a real space renormalization group method for Euclidean quantum gravity, providing numerical evidence for an ultraviolet fixed point in 4D lattice quantum gravity, advancing understanding of its non-perturbative structure.
Contribution
It develops a hierarchical baby-universe based renormalization technique for quantum gravity and demonstrates the existence of an ultraviolet fixed point in 4D.
Findings
Numerical calculation of the beta-function in 4D
Evidence for an ultraviolet stable fixed point
Scaling properties of 2D and 4D lattice quantum gravity
Abstract
A real space renormalization group technique, based on the hierarchical baby-universe structure of a typical dynamically triangulated manifold, is used to study scaling properties of 2d and 4d lattice quantum gravity. In 4d, the -function is defined and calculated numerically. An evidence for the existence of an ultraviolet stable fixed point of the theory is presented
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