The Quantum Spacetime of c>0 2d Gravity
High Energy Physics - Lattice
2009-10-30 v1
Abstract
We review recent developments in the understanding of the fractal properties of quantum spacetime of 2d gravity coupled to c>0 conformal matter. In particular we discuss bounds put by numerical simulations using dynamical triangulations on the value of the Hausdorff dimension d_H obtained from scaling properties of two point functions defined in terms of geodesic distance. Further insight to the fractal structure of spacetime is obtained from the study of the loop length distribution function which reveals that the 0<c<= 1 system has similar geometric properties with pure gravity, whereas the branched polymer structure becomes clear for c >= 5.
Keywords
Cite
@article{arxiv.hep-lat/9709025,
title = {The Quantum Spacetime of c>0 2d Gravity},
author = {J. Ambjorn and K. N. Anagnostopoulos and G. Thorleifsson},
journal= {arXiv preprint arXiv:hep-lat/9709025},
year = {2009}
}
Comments
LaTeX2e, 3 pages, 3 figures