On the relation between the propagators of dual theories

TL;DR

This paper demonstrates a simple relation between propagators of dual theories derived from Proca-like models, confirming they describe the same physical particles despite additional non-physical excitations.

Contribution

It provides a straightforward expression linking propagators of dual theories obtained via the Noether Dualization Method, clarifying their physical equivalence.

Findings

Dual propagator can be expressed through known propagators.

Dualization preserves physical particle content.

Additional ghosts are introduced without affecting physical particles.

Abstract

In this paper, we show that the propagator of the dual of a general Proca-like theory, derived from the gauging iterative Noether Dualization Method, can be written by means of a simple relation between known propagators. This result is also a demonstration that the Lagrangian obtained by dualization describes the same physical particles as the ones present in the original theory at the expense of introducing new non-physical (ghosts) excitations.