Loop Quantum Gravity in the Momentum Representation

TL;DR

This paper develops a momentum representation framework for quantum gravity by generalizing the first-order formalism of classical systems and applying it to General Relativity.

Contribution

It introduces a novel momentum representation for quantum gravity based on a generalized first-order formalism applied to General Relativity.

Findings

Derivation of equations describing quantum gravity in momentum space

Extension of first-order formalism to include momentum representation

Framework applicable to classical and quantum gravitational systems

Abstract

We present a generalization of the first-order formalism used to describe the dynamics of a classical system. The generalization is then applied to the first-order action that describes General Relativity. As a result we obtain equations that can be interpreted as describing quantum gravity in the momentum representation.