Remark About Hamiltonian Formulation of Non-Linear Massive Gravity in Stuckelberg Formalism

TL;DR

This paper analyzes the Hamiltonian structure of a non-linear massive gravity model in Stuckelberg formalism, revealing phase space-dependent constraints that impact the count of physical degrees of freedom.

Contribution

It provides a detailed Hamiltonian analysis of a specific non-linear massive gravity model with auxiliary fields, highlighting the variable constraint structure.

Findings

Constraint structure varies over phase space

Implications for counting physical degrees of freedom

Insights into Hamiltonian formulation of massive gravity

Abstract

We perform the Hamiltonian analysis of the specific model of the non-linear massive gravity in Stuckelberg formalism where the square root structure is replaced by introducing auxiliary fields. We show that the constraint structure of given theory varies over the phase space and discuss possible consequences of this fact for the counting of the physical degrees of freedom.