Comments About Hamiltonian Formulation of Non-Linear Massive Gravity with Stuckelberg Fields

TL;DR

This paper conducts a Hamiltonian analysis of non-linear massive gravity with Stuckelberg fields, demonstrating the absence of ghosts in the two-dimensional case and identifying a primary constraint that could eliminate an extra mode.

Contribution

It provides a detailed Hamiltonian analysis of non-linear massive gravity with Stuckelberg fields, confirming ghost-freedom in two dimensions and identifying key constraints.

Findings

The theory has one primary constraint that can eliminate an extra mode.

Two-dimensional non-linear massive gravity is free from ghosts.

Explicit Hamiltonian analysis confirms the theoretical consistency.

Abstract

We perform the Hamiltonian analysis of some form of the non-linear massive gravity action that is formulated in the Stuckelberg formalism. Following seminal analysis performed in arXiv:1203.5283 [hep-th] we find that this theory possesses one primary constraint which could eliminate one additional mode in this theory. We performed the explicit Hamiltonian analysis of two dimensional non-linear massive gravity and we found that this is theory free from the ghosts.