# On the Constraint Structure of Vacuum Energy Sequestering

## TL;DR

This paper analyzes the Hamiltonian structure of a local vacuum energy sequestering model, demonstrating how it enforces the removal of vacuum energy contributions while maintaining the correct degrees of freedom and reducing to general relativity on-shell.

## Contribution

It provides a Hamiltonian analysis of the local vacuum energy sequestering model, revealing its constraint structure and confirming its consistency with general relativity.

## Key findings

- The model enforces vacuum energy degravitation via global relations.
- It propagates the correct number of degrees of freedom.
- It reduces locally to general relativity on-shell.

## Abstract

We carry out the Hamiltonian analysis of the local vacuum energy sequestering model - a manifestly local and diffeomorphism invariant extension of general relativity which has been shown to remove the radiatively unstable contribution to the vacuum energy generated by matter loops. We find that the degravitation of this UV sensitive quantity is enforced via global relations that are a consequence of the model's peculiar constraint structure. We also show that the model propagates the proper number of degrees of freedom and thus locally reduces to general relativity on-shell.