Canonical and Functional Schrodinger Quantization of Two--Dimensional Dilaton Gravity

TL;DR

This paper explores the relationship between canonical and Schrödinger quantization methods in two-dimensional dilaton gravity models, specifically the CGHS model, and investigates the effects of background charges on physical states and anomalies.

Contribution

It provides a detailed comparison of canonical and Schrödinger quantization approaches and introduces new physical states arising when background charges cancel the Virasoro anomaly.

Findings

Identified the relation between canonical and Schrödinger quantization in the CGHS model.

Discovered new physical states when background charges vanish.

Analyzed the impact of background charges on the Virasoro anomaly.

Abstract

We discuss the relation between canonical and Schrodinger quantization of the CGHS model. We also discuss the situation when background charges are added to cancel the Virasoro anomaly. New physical states are found when the square of the background charges vanishes.