Random Surfaces and Lattice Gravity
arXiv:hep-lat/9710005 · doi:10.1016/S0920-5632(97)00699-3
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.
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)
References in corpus (11)
- Quantum geometry of 2d gravity coupled to unitary matter
- Numerical Observation of a Tubular Phase in Anisotropic Membranes
- Elasticity, Shape Fluctuations and Phase Transitions in the New Tubule Phase of Anisotropic Tethered Membranes
- The future of spin networks
- Singular Vertices in the Strong Coupling Phase of Four-Dimensional Simplicial Gravity
- Effects of Self-Avoidance on the Tubular Phase of Anisotropic Membranes
- Improved Algorithms for Simulating Crystalline Membranes
- The geometry of dynamical triangulations
- The Quantum Spacetime of c>0 2d Gravity
- Balls in Boxes and Quantum Gravity
- A new phase structure in three-dimensional dynamical triangulation model