c-dependence of fractal dimension in two-dimensional quantum gravity

✍ Scribed by N. Kawamoto; K. Yotsuji

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 205 KB
• Volume: 129-130
• Category: Article
• ISSN: 0920-5632
• DOI: 10.1016/s0920-5632(03)02715-4

✦ Synopsis

We numerically investigate the fractal structure of two-dimensional quantum gravity coupled to matter central charge c for -2 5 c 5 1. We reformulate Q-state Potts model into the model which can be identified as a weighted percolation cluster model. The c-dependence of the fractal dimension based on the finite size scaling hypothesis is measured and has excellent agreement with our theoretical predictions previously evaluated analytically.