Dynamical Four-Form Fields

TL;DR

This paper introduces a gauge-invariant Lagrangian with four derivatives that models a single massive, ghost-free degree of freedom, expanding theoretical understanding of higher-derivative field theories.

Contribution

It presents a novel gauge-invariant Lagrangian with four derivatives capable of describing a healthy massive degree of freedom.

Findings

Successfully constructs a ghost-free, massive degree of freedom model

Demonstrates gauge invariance in a higher-derivative Lagrangian

Provides a new example of consistent four-derivative theories

Abstract

We present an example of a gauge-invariant Lagrangian that contains four derivatives and describes one massive, non-ghostlike, degree of freedom.