Classical and Quantum Gravity in 1+1 Dimensions, Part I: A Unifying Approach

TL;DR

This paper introduces a unified, simplified method for solving a broad class of 2D gravity and Yang-Mills models, facilitating future global analyses of their classical and quantum properties.

Contribution

It presents a concise, transformation-based approach to solve generalized dilaton theories with torsion and Yang-Mills coupling, streamlining the analysis of 2D gravity-Yang-Mills models.

Findings

Field equations are trivialized locally using transformations.

Solution process is reduced to a few lines of calculation.

Framework sets the stage for global classical and quantum investigations.

Abstract

We provide a concise approach to generalized dilaton theories with and without torsion and coupling to Yang-Mills fields. Transformations on the space of fields are used to trivialize the field equations locally. In this way their solution becomes accessible within a few lines of calculation only. In this first of a series of papers we set the stage for a thorough global investigation of classical and quantum aspects of more or less all available 2D gravity-Yang-Mills models.