Myers-Pospelov Model as an Ensemble of Pais-Uhlenbeck Oscillators: Unitarity and Lorentz Invariance Violation

TL;DR

This paper connects the Myers-Pospelov model with an ensemble of Pais-Uhlenbeck oscillators, analyzing unitarity and Lorentz violation in an effective quantum gravity context at low energies.

Contribution

It introduces a novel interpretation of the Myers-Pospelov model as an ensemble of Pais-Uhlenbeck oscillators and examines its unitarity properties at one loop in the low energy regime.

Findings

Unitarity is preserved at one loop in the low energy regime.

The model exhibits Lorentz invariance violation relevant for quantum gravity.

The connection provides insights into effective theories with higher-derivative structures.

Abstract

We study a generalization of a Pais-Uhlenbeck oscillator for fermionic variables. Next, we consider an ensemble of these oscillators and we identify a particular case of the Myers-Pospelov model which is relevant for effective theories of quantum gravity. Finally, by taking the advantage of this connection, we analyze, for this model, the unitarity at one loop order in the low energy regime where no ghost states can be created on-shell. This energy regime is the relevant one when we consider the Myers-Pospelov model as a true effective theory coming from new space-time structure.