Two-Dimensional Quantum Gravity with Boundary

TL;DR

This paper performs a Hamiltonian analysis and path integral quantization of 2D dilaton gravity with boundary, highlighting the role of boundary terms and demonstrating the theory's quantum triviality.

Contribution

It introduces a first order formulation with boundary, clarifies boundary term importance, and confirms quantum triviality in 2D dilaton gravity.

Findings

Boundary terms are crucial for correct quantum results.

The theory remains quantum trivial with boundary considerations.

Comparison with classical results provides further insights.

Abstract

Using the recently found first order formulation of two-dimensional dilaton gravity with boundary, we perform a Hamiltonian analysis and subsequent path integral quantization. The importance of the boundary terms to obtain the correct quantum result are outlined and the quantum triviality of the theory is shown to hold with this modification as well. We compare with recent classical results and comment on further applications.