English

Transfer Matrix Formalism for Two-Dimensional Quantum Gravity and Fractal Structures of Space-time

High Energy Physics - Theory 2009-10-22 v1 High Energy Physics - Lattice

Abstract

We develop a transfer matrix formalism for two-dimensional pure gravity. By taking the continuum limit, we obtain a "Hamiltonian formalism'' in which the geodesic distance plays the role of time. Applying this formalism, we obtain a universal function which describes the fractal structures of two dimensional quantum gravity in the continuum limit.

Keywords

Cite

@article{arxiv.hep-th/9302133,
  title  = {Transfer Matrix Formalism for Two-Dimensional Quantum Gravity and Fractal Structures of Space-time},
  author = {H. Kawai and N. Kawamoto and T. Mogami and Y. Watabiki},
  journal= {arXiv preprint arXiv:hep-th/9302133},
  year   = {2009}
}

Comments

13 pages, 5 figures, phyzzx