2001/03/08 by Wolfgang Beirl, Beirl, Wolfgang, Bernd A. Berg +1
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Lattice (hep-lat) #Relativity and Gravitational Theory #gr-qc #hep-lat
paper · pdf · doi:10.48550/arxiv.hep-lat/0103004
openalex publication_date 2001/03/08 · arxiv created 2001/03/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We re-examine results of the Liouville theory and provide arguments that a \it negative bare cosmological constant is essential to define two-dimensional quantum gravity. From this we are naturally led to a regularization of quantum gravity within the Regge approach such that it is described by small fluctuations around equilateral triangles, whose average link length approaches zero in the continuum limit. We investigate a model based on this idea numerically and present evidence for the desired long-range correlations. Interestingly, the approach might generalize to higher dimensions. The picture of an inflated balloon, which is often used to demonstrate the properties of an expanding classical universe, seems to be valuable to understand quantum gravity as well.