On the validity of ADM formulation in 2D quantum gravity

Abstract

We investigate 2d gravity quantized in the ADM formulation, where only the loop length $l(z)$ is retained as a dynamical variable of the gravitation, in order to get an intuitive physical insight of the theory. The effective action of $l(z)$ is calculated by adding scalar fields of conformal coupling, and the problems of the critical dimension and the time development of $l$ are addressed.

12 pages

References in corpus (2)

• Two-Dimensional Quantum Gravity in Temporal Gauge
• Weyl Anomalies of Strings in Temporal Gauge