Quantum Corrections to Lorentz Invariance Violating Theories: Fine-Tuning Problem

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dc.creatorCrichigno, P. M.
dc.creatorVucetich, H.
dc.date2006-07-26
dc.date2007-07-15
dc.date.accessioned2026-07-07T11:06:55Z
dc.date.available2026-07-07T11:06:55Z
dc.descriptionIt is of general agreement that a quantum gravity theory will most probably mean a breakdown of the standard structure of space-time at the Planck scale. This has motivated the study of Planck-scale Lorentz Invariance Violating (LIV) theories and the search for its observational signals. Yet, it has been recently shown that, in a simple scalar-spinor Yukawa theory, radiative corrections to tree-level Planck-scale LIV theories can induce large Lorentz violations at low energies, in strong contradiction with experiment, unless an unnatural fine-tuning mechanism is present. In this letter, we show the calculation of the electron self-energy in the framework given by the Myers-Pospelov model for a Lorentz Invariance Violating QED. We find a contribution that depends on the prefered's frame four-velocity which is not Planck-scale suppressed, showing that this model suffers from the same disease. Comparison with Hughes-Drever experiments requires a fine-tuning of 21 orders of magnitude for this model not to disagree with experiment.
dc.description10 pages, no figures. Version acceptd in Physics Letters B
dc.identifierhttps://arxiv.org/abs/hep-th/0607214
dc.identifierhttp://arxiv.org/abs/hep-th/0607214
dc.identifierPhys.Lett.B651:313-318,2007
dc.identifierdoi:10.1016/j.physletb.2007.06.025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189682
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum Corrections to Lorentz Invariance Violating Theories: Fine-Tuning Problem
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