Macroscopic Loop Amplitudes in Two-Dimensional Dilaton Gravity

TL;DR

This paper derives macroscopic loop amplitudes in two-dimensional dilaton gravity, showing how they depend on loop length and cosmological constant using the Wheeler-DeWitt equation and scaling arguments.

Contribution

It provides a complete determination of loop amplitude dependence on length and cosmological constant in 2D dilaton gravity using mini-superspace and scaling methods.

Findings

Loop amplitude dependence on length $l$ is explicitly derived.

Dependence on cosmological constant $$ is established.

Method combines Wheeler-DeWitt equation with scaling arguments.

Abstract

Macroscopic loop amplitudes are obtained for the dilation gravity in two-dimensions. The dependence on the macroscopic loop length $l$ is completely determined by using the Wheeler-DeWitt equation in the mini-superspace approximation. The dependence on the cosmological constant $\Lambda$ is also determined by using the scaling argument in addition.