Dirac Quantization Gravity-Yang-Mills Systems in 1+1 Dimensions

TL;DR

This paper demonstrates that a broad class of two-dimensional gravitational systems, including R^2 gravity coupled with Yang-Mills fields, can be quantized exactly, advancing understanding of quantum gravity in lower dimensions.

Contribution

It improves and generalizes previous methods for quantizing pure gravity theories to include coupled gravity-Yang-Mills systems in two dimensions.

Findings

Exact quantization of 2D gravity-Yang-Mills systems.

Extension of previous pure gravity quantization methods.

Broader class of models quantized successfully.

Abstract

In two dimensions a large class of gravitational systems including, e.g., $R^2$-gravity can be quantized exactly also when coupled dynamically to a Yang-Mills theory. Some previous considerations on the quantization of pure gravity theories are improved and generalized.