Numerical Analysis of Quantum Gravity and Critical String

概要

論文の詳細を見る
In the lattice approach of the two-dimensional quantum gravity, in order to obtain the partition function all possible dynamical triangulated surfaces are summed up where each triangle is a regular triangle with the same size. A method is proposed to define the complex structure and separate the conformal mode on two-dimensional dynamically triangulated surfaces. The complex structure is well-defined at c≤1. It is found that the resistivity works well as an order parameter for the transition at the c=1 barrier expected in analytic theory. The fine planar random network of resistors behave as a continuous sheet of constant resistivity is justified numerically for c≤1.
東海大学の論文