Canonical formalism for simplicial gravity

TL;DR

This paper presents a canonical formalism for simplicial gravity that is equivalent to the covariant approach, capable of managing varying phase space dimensions, and offers a new framework for discrete gravitational systems.

Contribution

It introduces a general canonical formulation for discrete systems, specifically applied to simplicial gravity, allowing for variable phase space dimensions and equivalence with covariant formalism.

Findings

Framework handles varying phase space dimensions

Achieves equivalence with covariant formalism

Applicable to simplicial gravity models

Abstract

We summarise a recently introduced general canonical formulation of discrete systems which is fully equivalent to the covariant formalism. This framework can handle varying phase space dimensions and is applied to simplicial gravity in particular.