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arXiv · 0912.0113

Renormalization Of High-Energy Lorentz Violating QED

Abstract

We study a QED extension that is unitary, CPT invariant and super-renormalizable, but violates Lorentz symmetry at high energies, and contains higher-dimension operators (LVQED). Divergent diagrams are only one- and two-loop. We compute the one-loop renormalizations at high and low energies and analyse the relation between them. It emerges that the power-like divergences of the low-energy theory are multiplied by arbitrary constants, inherited by the high-energy theory, and therefore can be set to zero at no cost, bypassing the hierarchy problem.

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Damiano Anselmi, Martina Taiuti. 2009-12-01. Renormalization Of High-Energy Lorentz Violating QED. https://doi.org/10.1103/physrevd.81.085042

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