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Towards a Non-Perturbative Renormalization of Euclidean Quantum Gravity

Z. Burda, J. -P. Kownacki, A. Krzywicki

hep-tharXiv:hep-th/9505104

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 β-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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