On the duality in four-dimensional Lorentz-breaking field theories

TL;DR

This paper explores duality in four-dimensional Lorentz-breaking field theories, showing the necessity of aether-like terms for duality and analyzing the physical implications through dispersion relations.

Contribution

It demonstrates the role of aether-like Lorentz-breaking terms in establishing duality between 4D models analogous to 3D MCS and self-dual models.

Findings

Aether-like Lorentz-breaking term is essential for duality.

Dispersion relations reveal physical differences and similarities.

Duality extends from 3D to 4D Lorentz-breaking theories.

Abstract

We consider new issues of duality in four-dimensional Lorentz-breaking field theories. In particular, we demonstrate that the arising of the aether-like Lorentz-breaking term is necessary in order for the 4D models to display the duality analog between the MCS and self-dual models in 3D. We further study the dispersion relations in both theories and discuss the physical contents of the models involved in this new dualilty.