Teleparallel gravity on the lattice

TL;DR

This paper develops a lattice discretization of a quantum gravity model based on teleparallel gravity, ensuring bounded actions and recovering Einstein equations in the classical limit.

Contribution

It introduces a novel lattice formulation of teleparallel gravity for quantum gravity, applicable to hypercubic and simplicial lattices, with actions bounded from below.

Findings

Lattice models have actions bounded from below.

Classical Einstein equations emerge in the classical limit.

Applicable to both hypercubic and simplicial lattices.

Abstract

We consider quantum gravity model with the squared curvature action. We construct lattice discretization of the model (both on hypercubic and simplicial lattices) starting from its teleparallel equivalent. The resulting lattice models have the actions that are bounded from below while Einstein equations (without matter) appear in their classical limit.