LANGEVIN SIMULATION OF A BOTTOMLESS HERMITIAN MATRIX MODEL FOR 2-DIMENSIONAL QUANTUM-GRAVITY

On the basis of the kerneled Langevin equation, we stochastically quan tize a zero-dimensional bottomless hermitian matrix phi4-model, which gives a simple model of two-dimensional quantum gravity. This formulat ion brings us a powerful method of numerical simulation. We confirm a systematic deviation of numerically calculated mean-square values of f ields from the planar result, which seems to survive for large degrees of the matrix elements, if the scaling variable is fixed. The resulta nt deviation shows that its functional form is similar to the one obta ined by the 1/N expansion.