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

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.

8 pages, 5 figures, to appear in Eur.Phys.Jour. C

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Cited by in corpus (8)

• Hamiltonian formulation of an effective modified gravity with nondynamical background fields
• Unitarity in Maxwell-Carroll-Field-Jackiw electrodynamics
• Unitarity and Lee-Wick prescription at one loop level in the effective Myers-Pospelov electrodynamics: the $e^{+}+e^{-}$ annihilation
• N=2 supersymmetric Pais-Uhlenbeck oscillator
• Unitarity and non-relativistic potential energy in a higher-order Lorentz symmetry breaking electromagnetic model
• Tree-level unitarity, causality and higher-order Lorentz and CPT violation
• Optical theorem and indefinite metric in $\lambda {\varphi }^4$ delta-theory
• N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator