Physical states in Quantum Einstein-Cartan Gravity

TL;DR

This paper explores how physical states in Quantum Einstein-Cartan Gravity can be characterized using finite dimensional Lorentz group representations, addressing a key technical challenge in canonical quantum gravity approaches.

Contribution

It introduces a method to identify physical states in Einstein-Cartan theory through a continuum limit and finite Lorentz group representations, advancing canonical quantum gravity.

Findings

Physical states correspond to finite dimensional Lorentz group representations.

A continuum limit approach is used to define these states.

The work clarifies the structure of quantum states in Einstein-Cartan theory.

Abstract

The definition of physical states is the main technical issue of canonical approaches towards Quantum Gravity. In this work, we outline how those states can be found in Einstein-Cartan theory via a continuum limit and they are given by finite dimensional representations of the Lorentz group.