We study the correlation functions of microscopic loops (local operators) and of macroscopic loops in non-perturbative two dimensional quantum gravity. They are easily calculated using a free fermion formalism. The microscopic loop correlation functions can be expressed in terms of the KdV flows. The specific heat as a function of the scaling fields obeys the generalized KdV equation. The physical interpretation of macroscopic loop correlation functions is discussed.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics