English

Random Surfaces and Lattice Gravity

High Energy Physics - Lattice 2009-10-30 v2

Abstract

In this talk I review some of the recent developments in the field of random surfaces and the Dynamical Triangulation approach to simplicial quantum gravity. In two dimensions I focus on the c=1 barrier and the fractal dimension of two-dimensional quantum gravity coupled to matter with emphasis on the comparison of analytic predictions and numerical simulations. Next is a survey of the current understanding in 3 and 4 dimensions. This is followed by a discussion of some problems in the statistical mechanics of membranes. Finally I conclude with a list of problems for the future.

Keywords

Cite

@article{arxiv.hep-lat/9710005,
  title  = {Random Surfaces and Lattice Gravity},
  author = {Mark Bowick},
  journal= {arXiv preprint arXiv:hep-lat/9710005},
  year   = {2009}
}

Comments

12 pages, LaTeX with espcrc2.sty, 9 eps/ps figs. Some references added. Color figs. available at http://suhep.phy.syr.edu/research/computational/pics.html Plenary talk given at Lattice 97 (Edinburgh)