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.

17 pages, 1 figure; v2: typos corrected, some more comments, PRD published version

References in corpus (4)

• Renormalization of Lorentz violating theories
• One-Loop Renormalization of the Electroweak Sector with Lorentz Violation
• Weighted power counting, neutrino masses and Lorentz violating extensions of the Standard Model
• Standard Model Without Elementary Scalars And High Energy Lorentz Violation

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