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arXiv · 0810.4346

The Photon Sector in the Quantum Myers-Pospelov Model: An improved description

C. M. Reyes·L. F. Urrutia·J. D. Vergara
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Abstract

The quantization of the electromagnetic sector of the Myers-Pospelov model coupled to standard fermions is studied. Our main objective is to construct an effective quantum theory that results in a genuine perturbation of QED, such that setting zero the Lorentz invariance violation (LIV) parameters will reproduce it. This is achieved by introducing an additional low energy scale $M$, together with a physically motivated prescription to take the QED limit. The prescription is successfully tested in the calculation of the electron self-energy in the one loop approximation. The LIV radiative corrections turn out to be properly scaled by very small factors for any reasonable values of the parameters, no fine-tuning problems are found at this stage and the choice for $M$ to be of the order of the electroweak symmetry breaking scale is consistent with the stringent bounds for the LIV parameters, in particular with those arising from induced dimension three operators.

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C. M. Reyes, L. F. Urrutia, J. D. Vergara. 2009-04-28. The Photon Sector in the Quantum Myers-Pospelov Model: An improved description. https://doi.org/10.1016/j.physletb.2009.04.032

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