Canonical quantization of two-dimensional gravity

TL;DR

This paper presents a canonical quantization approach for two-dimensional gravity coupled with scalar and spinor fields, thoroughly describing the physical state space and calculating metric expectations near the ground state.

Contribution

It introduces a complete canonical quantization framework for 2D gravity with matter fields and characterizes the physical state space explicitly.

Findings

Physical state space fully described

Average metric tensor calculated near ground state

Quantization method applicable to 2D gravity models

Abstract

A canonical quantization of two-dimensional gravity minimally coupled to real scalar and spinor Majorana fields is presented. The physical state space of the theory is completely described and calculations are also made of the average value of the metric tensor relative to states close to the ground state