Note About Canonical Formalism for Normalized Gravity And Vacuum Energy Sequestering Model

TL;DR

This paper analyzes the Hamiltonian structure of normalized gravity and vacuum energy sequestering models, highlighting how global variables induce non-local Hamiltonian constraints in the canonical formalism.

Contribution

It provides a Hamiltonian analysis of these models, clarifying the role of global variables and their impact on the non-locality of the Hamiltonian constraint.

Findings

Global variables lead to non-local Hamiltonian constraints

Canonical formalism clarifies the role of global variables

Insights into the structure of vacuum energy sequestering models

Abstract

This short note is devoted to the Hamiltonian analysis of the normalized general relativity and recently proposed model of vacuum energy sequestering. The common property of these models is the presence of the global variables. We discuss the meaning of these global variables in the context of the canonical formalism and argue that their presence lead to the non-local form of the Hamiltonian constraint.