2009/12/31 by Damiano Anselmi, Martina Taiuti · 1 citation
Physics and Astronomy · #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.81.085042
published as Phys.Rev.D81:085042,2010 · 17 pages, 1 figure; v2: typos corrected, some more comments, PRD published version
arxiv created 2010/05/09 · arxiv updated 2010/05/12
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.