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Elementary Quantum Geometry

2022/04/02 by Ambjorn, Jan
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2204.00859

Abstract

These Lecture Notes provide an elementary introduction to the quantization of two-dimensional quantum gravity. Nothing beyond undergratuate physics and mathematic is required. Explicit formulas for the partition functions for universes with n boundaries are derived, as well as for the so-called two-point function. The latter shows explicitly that the fractal dimension of a typical two-dimensional quantum universe is four.

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